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Author ID: area.ivan Recent zbMATH articles by "Area, Iván"
Published as: Area, I.; Area, Iván; Area, Ivan; Area, IvÁn
External Links: ORCID
all top 5

Serials

19 Journal of Computational and Applied Mathematics
8 Integral Transforms and Special Functions
6 Journal of Mathematical Analysis and Applications
5 Mathematical Methods in the Applied Sciences
4 Applied Mathematics and Computation
4 Journal of Difference Equations and Applications
3 Mathematics of Computation
3 Numerical Algorithms
3 Bulletin des Sciences Mathématiques
3 Journal of Inequalities and Applications
3 Discrete and Continuous Dynamical Systems. Series B
3 Advances in Difference Equations
3 Journal of Physics A: Mathematical and Theoretical
3 Mathematical Modelling of Natural Phenomena
2 Physica A
2 Chaos, Solitons and Fractals
2 SIAM Journal on Numerical Analysis
2 Bulletin of the Iranian Mathematical Society
2 Journal of Symbolic Computation
1 European Journal of Physics
1 Journal of Optimization Theory and Applications
1 Applied Numerical Mathematics
1 Applied Mathematics Letters
1 International Journal of Computer Mathematics
1 Journal of Physics A: Mathematical and General
1 Computational and Applied Mathematics
1 Filomat
1 Abstract and Applied Analysis
1 Fractional Calculus & Applied Analysis
1 Revista Matemática Complutense
1 Discrete Dynamics in Nature and Society
1 Bulletin of the Malaysian Mathematical Sciences Society. Second Series
1 International Journal of Pure and Applied Mathematics
1 Mediterranean Journal of Mathematics
1 Mathematical Biosciences and Engineering
1 Journal of Industrial and Management Optimization
1 Discrete and Continuous Dynamical Systems. Series S
1 Analysis and Mathematical Physics
1 Springer Proceedings in Mathematics & Statistics
1 Evolution Equations and Control Theory
1 Trends in Mathematics

Publications by Year

Citations contained in zbMATH Open

95 Publications have been cited 933 times in 612 Documents Cited by Year
On a fractional order Ebola epidemic model. Zbl 1344.92150
Area, Ivan; Batarfi, Hanan; Losada, Jorge; Nieto, Juan J.; Shammakh, Wafa; Torres, Ángela
82
2015
Mathematical modeling of COVID-19 transmission dynamics with a case study of Wuhan. Zbl 1489.92171
Ndaïrou, Faïçal; Area, Iván; Nieto, Juan J.; Torres, Delfim F. M.
71
2020
Numerical computation of a fractional derivative with non-local and non-singular kernel. Zbl 1416.65190
Djida, Jean Daniel; Atangana, A.; Area, I.
41
2017
Minimal recurrence relations for connection coefficients between classical orthogonal polynomials: Continuous case. Zbl 0909.65008
Godoy, E.; Ronveaux, A.; Zarzo, A.; Area, I.
41
1997
Corrigendum: Minimal recurrence relations for connection coefficients between classical orthogonal polynomials: Discrete case. Zbl 0934.33014
Area, I.; Godoy, E.; Ronveaux, A.; Zarzo, A.
33
1998
Solving connection and linearization problems within the Askey scheme and its \(q\)-analogue via inversion formulas. Zbl 0988.33008
Area, I.; Godoy, E.; Ronveaux, A.; Zarzo, A.
31
2001
Advances in real and complex analysis with applications. Selected papers based on the presentations at the 24th international conference on finite or infinite dimensional complex analysis and applications, 24ICFIDCAA, Jaipur, India, August 22–26, 2016. Zbl 1381.00029
30
2017
A note on the fractional logistic equation. Zbl 1400.34003
Area, Iván; Losada, Jorge; Nieto, Juan J.
27
2016
Results for some inversion problems for classical continuous and discrete orthogonal polynomials. Zbl 0992.33003
Zarzo, A.; Area, I.; Godoy, E.; Ronveaux, A.
25
1997
Zeros of Gegenbauer and Hermite polynomials and connection coefficients. Zbl 1048.33007
Area, Iván; Dimitrov, Dimitar K.; Godoy, Eduardo; Ronveaux, André
21
2004
Ebola model and optimal control with vaccination constraints. Zbl 1412.49005
Area, IvÁn; Ndaïrou, Faïçal; Nieto, Juan J.; Silva, Cristiana J.; Torres, Delfim F. M.
19
2018
Mathematical modeling of 2014 Ebola outbreak. Zbl 1381.34066
Area, Iván; Losada, Jorge; Ndaïrou, Faïçal; Nieto, Juan J.; Tcheutia, Daniel D.
18
2017
\(\Delta\)-coherent pairs and orthogonal polynomials of a discrete variable. Zbl 1047.42019
Area, I.; Godoy, E.; Marcellán, F.
17
2003
Classical symmetric orthogonal polynomials of a discrete variable. Zbl 1055.33004
Area, I.; Godoy, E.; Ronveaux, A.; Zarzo, A.
16
2004
Inversion problems in the \(q\)-Hahn tableau. Zbl 0953.33005
Area, I.; Godoy, E.; Ronveaux, A.; Zarzo, A.
16
1999
Bivariate second-order linear partial differential equations and orthogonal polynomial solutions. Zbl 1248.35037
Area, I.; Godoy, E.; Ronveaux, A.; Zarzo, A.
15
2012
On quasi-periodicity properties of fractional integrals and fractional derivatives of periodic functions. Zbl 1337.26008
Area, I.; Losada, J.; Nieto, J. J.
14
2016
Minimal recurrence relations for connection coefficients between classical orthogonal polynomials: Discrete case. Zbl 0892.65078
Area, I.; Godoy, E.; Ronveaux, A.; Zarzo, A.
13
1997
Classification of all \(\Delta\)-coherent pairs. Zbl 0972.42017
Area, I.; Godoy, E.; Marcellán, F.
13
2000
Orthogonal polynomials of two discrete variables on the simplex. Zbl 1065.33013
Rodal, J.; Area, I.; Godoy, E.
13
2005
On the limit relations between classical continuous and discrete orthogonal polynomials. Zbl 0934.33013
Godoy, E.; Ronveaux, A.; Zarzo, A.; Area, I.
12
1998
Transverse limits in the Askey tableau. Zbl 0936.33004
Ronveaux, A.; Zarzo, A.; Area, I.; Godoy, E.
12
1998
Linear partial \(q\)-difference equations on \(q\)-linear lattices and their bivariate \(q\)-orthogonal polynomial solutions. Zbl 1329.39011
Area, I.; Atakishiyev, N.; Godoy, E.; Rodal, J.
12
2013
Well-posedness results for fractional semi-linear wave equations. Zbl 1443.35100
Djida, Jean-Daniel; Fernandez, Arran; Area, Iván
11
2020
Optimal control of diffusion equation with fractional time derivative with nonlocal and nonsingular Mittag-Leffler kernel. Zbl 1421.49004
Djida, Jean-Daniel; Mophou, Gisèle; Area, Iván
11
2019
Structure relations for monic orthogonal polynomials in two discrete variables. Zbl 1142.33004
Rodal, J.; Area, I.; Godoy, E.
11
2008
Recursive approach to connection and linearization coefficients between polynomials. Zbl 0922.33004
Ronveaux, A.; Area, I.; Godoy, E.; Zarzo, A.
10
1998
Inner products involving differences: The Meixner-Sobolev polynomials. Zbl 0948.33004
Area, I.; Godoy, E.; Marcellán, F.
10
2000
Mathematical modeling of Zika disease in pregnant women and newborns with microcephaly in Brazil. Zbl 1406.34083
Ndaïrou, Faïçal; Area, Iván; Nieto, Juan J.; Silva, Cristiana J.; Torres, Delfim F. M.
10
2018
Zeros of classical orthogonal polynomials of a discrete variable. Zbl 1266.33009
Area, Iván; Dimitrov, Dimitar K.; Godoy, Eduardo; Paschoa, Vanessa G.
9
2013
Classical orthogonal polynomials: Dependence of parameters. Zbl 0962.33006
Ronveaux, A.; Zarzo, A.; Area, I.; Godoy, E.
9
2000
Bernstein bases and Hahn-Eberlein orthogonal polynomials. Zbl 0942.33006
Ronveaux, A.; Zarzo, A.; Area, I.; Godoy, E.
9
1998
Ratio and Plancherel-Rotach asymptotics for Meixner-Sobolev orthogonal polynomials. Zbl 0984.42016
Area, I.; Godoy, E.; Marcellán, F.; Moreno-Balcázar, J. J.
9
2000
Hypergeometric-type differential equations: second kind solutions and related integrals. Zbl 1036.33005
Area, I.; Godoy, E.; Ronveaux, A.; Zarzo, A.
9
2003
\(q\)-coherent pairs and \(q\)-orthogonal polynomials. Zbl 1020.33005
Area, I.; Godoy, E.; Marcellán, F.
9
2002
A symmetric generalization of Sturm-Liouville problems in discrete spaces. Zbl 1281.39007
Masjed-Jamei, M.; Area, I.
9
2013
On a class of bivariate second-order linear partial difference equations and their monic orthogonal polynomial solutions. Zbl 1236.39015
Area, I.; Godoy, E.; Rodal, J.
9
2012
Linear partial difference equations of hypergeometric type: orthogonal polynomial solutions in two discrete variables. Zbl 1113.33016
Rodal, J.; Area, I.; Godoy, E.
9
2007
On fractional derivatives and primitives of periodic functions. Zbl 1470.26008
Area, I.; Losada, J.; Nieto, J. J.
9
2014
Recurrence relations for the coefficients of the Fourier series expansions with respect to q-classical orthogonal polynomials. Zbl 1047.33009
Lewanowicz, Stanislaw; Godoy, Eduardo; Area, Iván; Ronveaux, André; Zarzo, Alejandro
8
2000
Hypergeometric type \(q\)-difference equations: Rodrigues type representation for the second kind solution. Zbl 1067.39033
Area, I.; Godoy, E.; Ronveaux, A.; Zarzo, A.
8
2005
A basic class of symmetric orthogonal polynomials of a discrete variable. Zbl 1263.33006
Masjed-Jamei, Mohammad; Area, Iván
8
2013
Power series solution of the fractional logistic equation. Zbl 07459876
Area, I.; Nieto, J. J.
8
2021
On limit relations between some families of bivariate hypergeometric orthogonal polynomials. Zbl 1272.33016
Area, I.; Godoy, E.
7
2013
Connection problems for polynomial solutions of nonhomogeneous differential and difference equations. Zbl 0933.65147
Godoy, E.; Ronveaux, A.; Zarzo, A.; Area, I.
7
1998
Fourth-order difference equation for the first associated of classical discrete orthogonal polynomials. Zbl 0906.33003
Ronveaux, A.; Godoy, E.; Zarzo, A.; Area, I.
7
1998
Nonlocal time porous medium equation with fractional time derivative. Zbl 1422.35110
Djida, Jean-Daniel; Nieto, Juan J.; Area, Iván
7
2019
Approximate calculation of sums. I: Bounds for the zeros of Gram polynomials. Zbl 1311.33006
Area, Iván; Dimitrov, Dimitar K.; Godoy, Eduardo; Paschoa, Vanessa
6
2014
On quasi-periodic properties of fractional sums and fractional differences of periodic functions. Zbl 1410.39022
Area, Iván; Losada, Jorge; Nieto, Juan J.
6
2016
Nonlocal time-porous medium equation: weak solutions and finite speed of propagation. Zbl 1420.35122
Djida, Jean-Daniel; Nieto, Juan J.; Area, Iván
6
2019
Classical discrete orthogonal polynomials, Lah numbers, and involutory matrices. Zbl 1050.33005
Area, I.; Godoy, E.; Ronveaux, A.; Zarzo, A.
5
2003
Formulae relating little \(q\)-Jacobi, \(q\)-Hahn and \(q\)-Bernstein polynomials: Application to \(q\)-Bézier curve evaluation. Zbl 1065.33010
Area, I.; Godoy, E.; Woźny, P.; Lewanowicz, S.; Ronveaux, A.
5
2004
Inequalities for zeros of Jacobi polynomials via Obrechkoff’s theorem. Zbl 1247.33013
Area, Iván; Dimitrov, Dimitar K.; Godoy, Eduardo; Rafaeli, Fernando R.
5
2012
Power-series solution of compartmental epidemiological models. Zbl 1471.92352
Srivastava, H. M.; Area, I.; Nieto, J. J.
5
2021
Characterizations of classical orthogonal polynomials on quadratic lattices. Zbl 1371.33022
Njinkeu Sandjon, Marlyse; Branquinho, Amílcar; Foupouagnigni, Mama; Area, Iván
4
2017
Linear partial divided-difference equation satisfied by multivariate orthogonal polynomials on quadratic lattices. Zbl 1384.33023
Tcheutia, D. D.; Tefo, Y. Guemo; Foupouagnigni, M.; Godoy, E.; Area, I.
4
2017
\(\Delta\)-Sobolev orthogonal polynomials of Meixner type: asymptotics and limit relation. Zbl 1060.42015
Area, I.; Godoy, E.; Marcellán, F.; Moreno-Balcázar, J. J.
4
2005
Fixed point theory approach to boundary value problems for second-order difference equations on non-uniform lattices. Zbl 1343.34071
Area, Iván; Godoy, Eduardo; Nieto, Juan J.
4
2014
Inner products involving \(q\)-differences: The little \(q\)-Laguerre-Sobolev polynomials. Zbl 0957.33008
Area, I.; Godoy, E.; Marcellán, F.; Moreno-Balcázar, J. J.
4
2000
On fractional orthonormal polynomials of a discrete variable. Zbl 1418.33002
Area, I.; Djida, J. D.; Losada, J.; Nieto, Juan J.
4
2015
Corrigendum to “Mathematical modeling of COVID-19 transmission dynamics with a case study of Wuhan”. Zbl 1496.92123
Ndaïrou, Faïçal; Area, Iván; Bader, Georg; Nieto, Juan J.; Torres, Delfim F. M.
4
2020
A symmetric generalization of Sturm-Liouville problems in \(q\)-difference spaces. Zbl 1297.39012
Area, Iván; Masjed-Jamei, Mohammad
3
2014
Bounds for the zeros of symmetric Kravchuk polynomials. Zbl 1320.33012
Area, Iván; Dimitrov, Dimitar K.; Godoy, Eduardo; Paschoa, Vanessa
3
2015
A finite class of \(q\)-orthogonal polynomials corresponding to inverse gamma distribution. Zbl 1386.34052
Soleyman, F.; Masjed-Jamei, M.; Area, I.
3
2017
On some fractional Pearson equations. Zbl 1329.26012
Area, Ivan; Losada, Jorge; Manintchap, Ariane
3
2015
Recursive computation of generalised Zernike polynomials. Zbl 1350.41013
Area, I.; Dimitrov, Dimitar K.; Godoy, E.
3
2017
Bivariate Krawtchouk polynomials: inversion and connection problems with the NAVIMA algorithm. Zbl 1312.33042
Area, I.; Godoy, E.; Rodal, J.; Ronveaux, A.; Zarzo, A.
3
2015
Multivariate generalized Bernstein polynomials: Identities for orthogonal polynomials of two variables. Zbl 1183.33021
Lewanowicz, Stanisław; Woźny, Paweł; Area, Iván; Godoy, Eduardo
3
2008
Extensions of some results of P. Humbert on Bezout’s identity for classical orthogonal polynomials. Zbl 1094.33005
Area, I.; Godoy, E.; Ronveaux, A.; Zarzo, A.
3
2006
Zero sets of bivariate Hermite polynomials. Zbl 1343.33006
Area, Iván; Dimitrov, Dimitar K.; Godoy, Eduardo
2
2015
Representation of \((p,q)\)-Bernstein polynomials in terms of \((p,q)\)-Jacobi polynomials. Zbl 1369.33020
Soleyman, F.; Area, I.; Masjed-Jamei, M.; Nieto, J. J.
2
2017
A class of symmetric \(q\)-orthogonal polynomials with four free parameters. Zbl 1377.39014
Area, Iván; Masjed-Jamei, Mohammad
2
2017
Divided-difference equation and three-term recurrence relations of some systems of bivariate \(q\)-orthogonal polynomials. Zbl 1388.39004
Tcheutia, D. D.; Foupouagnigni, M.; Tefo, Y. Guemo; Area, I.
2
2017
Orthogonal polynomial interpretation of \(q\)-Toda and \(q\)-Volterra equations. Zbl 1469.65172
Area, I.; Branquinho, A.; Moreno, A. Foulquié; Godoy, E.
2
2018
Approximate calculation of sums. II: Gaussian type quadrature. Zbl 1343.65021
Area, Iván; Dimitrov, Dimitar K.; Godoy, Eduardo; Paschoa, Vanessa G.
2
2016
Decomposition of polynomials with respect to the cyclic group of order \(m\). Zbl 0947.65057
Ronveaux, A.; Zarzo, A.; Area, I.; Godoy, E.
2
1999
Archimedes meets Einstein: a millennial geometric bridge. Zbl 1398.83008
Prado, Xabier; Area, Iván; Paredes, Angel; Castiñeiras, José Manuel Domínguez; Edelstein, José D.; Mira, Jorge
2
2018
On factorization of \(q\)-difference equation for continuous \(q\)-ultraspherical polynomials. Zbl 1188.33026
Area, I.; Atakishiyeva, M. K.; Rodal, J.
2
2009
Zeros of Jacobi functions of second kind. Zbl 1089.33003
Area, Iván; Dimitrov, Dimitar K.; Godoy, Eduardo; Ronveaux, André
2
2006
Parabolic problem with fractional time derivative with nonlocal and nonsingular Mittag-Leffler kernel. Zbl 1442.35506
Djida, Jean Daniel; Nieto, Juan J.; Area, Iván
2
2020
A new type of Taylor series expansion. Zbl 1497.41027
Masjed-Jamei, Mohammad; Moalemi, Zahra; Area, Iván; Nieto, Juan J.
2
2018
Error bounds for Gaussian quadrature rules using linear kernels. Zbl 1358.65019
Masjed-Jamei, Mohammad; Area, Iván
1
2016
Convolutions and zeros of orthogonal polynomials. Zbl 1216.33018
Area, Iván; Dimitrov, Dimitar K.; Godoy, Eduardo
1
2011
Characterizations of \(\Delta\)-Volterra lattice: a symmetric orthogonal polynomials interpretation. Zbl 1356.37075
Area, I.; Branquinho, A.; Foulquié Moreno, A.; Godoy, E.
1
2016
On moments of hypergeometric bivariate weight functions. Zbl 1377.44009
Area, I.; Foupouagnigni, M.; Godoy, E.; Guemo Tefo, Y.
1
2017
Orthogonal polynomial interpretation of \(\Delta\)-Toda equations. Zbl 1325.37039
Area, I.; Branquinho, A.; Foulquié Moreno, A.; Godoy, E.
1
2015
Basic hypergeometric polynomials with zeros on the unit circle. Zbl 1334.33037
Area, I.; Godoy, E.; Lamblém, R. L.; Sri Ranga, A.
1
2013
Two finite \(q\)-Sturm-Liouville problems and their orthogonal polynomial solutions. Zbl 1499.39062
Masjed-Jamei, M.; Soleyman, F.; Area, I.; Nieto, J. J.
1
2018
\((p,q)\)-Sturm-Liouville problems and their orthogonal solutions. Zbl 1406.33011
Soleyman, F.; Sadjang, P. Njionou; Masjed-Jamei, M.; Area, I.
1
2018
On \((p,q)\)-classical orthogonal polynomials and their characterization theorems. Zbl 1444.33007
Masjed-Jamei, M.; Soleyman, F.; Area, I.; Nieto, J. J.
1
2017
Orthogonal polynomials and the Bézout identity. Zbl 1126.33005
Ronveaux, A.; Zarzo, A.; Area, I.; Godoy, E.
1
2007
Some classes of special functions using Fourier transforms of some two-variable orthogonal polynomials. Zbl 1454.33013
Güldoğan, Esra; Aktaş, Rabia; Area, Iván
1
2020
Hypergeometric multivariate orthogonal polynomials. Zbl 1443.33031
Area, Iván
1
2020
Some modified Adams-Bashforth methods based upon the weighted Hermite quadrature rules. Zbl 1452.65125
Masjed-Jamei, Mohammad; Moalemi, Zahra; Srivastava, Hari M.; Area, Iván
1
2020
A new family of orthogonal polynomials in three variables. Zbl 1503.33012
Aktaş, Rabia; Area, Iván; Güldoğan, Esra
1
2020
Power series solution of the fractional logistic equation. Zbl 07459876
Area, I.; Nieto, J. J.
8
2021
Power-series solution of compartmental epidemiological models. Zbl 1471.92352
Srivastava, H. M.; Area, I.; Nieto, J. J.
5
2021
Mathematical modeling of COVID-19 transmission dynamics with a case study of Wuhan. Zbl 1489.92171
Ndaïrou, Faïçal; Area, Iván; Nieto, Juan J.; Torres, Delfim F. M.
71
2020
Well-posedness results for fractional semi-linear wave equations. Zbl 1443.35100
Djida, Jean-Daniel; Fernandez, Arran; Area, Iván
11
2020
Corrigendum to “Mathematical modeling of COVID-19 transmission dynamics with a case study of Wuhan”. Zbl 1496.92123
Ndaïrou, Faïçal; Area, Iván; Bader, Georg; Nieto, Juan J.; Torres, Delfim F. M.
4
2020
Parabolic problem with fractional time derivative with nonlocal and nonsingular Mittag-Leffler kernel. Zbl 1442.35506
Djida, Jean Daniel; Nieto, Juan J.; Area, Iván
2
2020
Some classes of special functions using Fourier transforms of some two-variable orthogonal polynomials. Zbl 1454.33013
Güldoğan, Esra; Aktaş, Rabia; Area, Iván
1
2020
Hypergeometric multivariate orthogonal polynomials. Zbl 1443.33031
Area, Iván
1
2020
Some modified Adams-Bashforth methods based upon the weighted Hermite quadrature rules. Zbl 1452.65125
Masjed-Jamei, Mohammad; Moalemi, Zahra; Srivastava, Hari M.; Area, Iván
1
2020
A new family of orthogonal polynomials in three variables. Zbl 1503.33012
Aktaş, Rabia; Area, Iván; Güldoğan, Esra
1
2020
Optimal control of diffusion equation with fractional time derivative with nonlocal and nonsingular Mittag-Leffler kernel. Zbl 1421.49004
Djida, Jean-Daniel; Mophou, Gisèle; Area, Iván
11
2019
Nonlocal time porous medium equation with fractional time derivative. Zbl 1422.35110
Djida, Jean-Daniel; Nieto, Juan J.; Area, Iván
7
2019
Nonlocal time-porous medium equation: weak solutions and finite speed of propagation. Zbl 1420.35122
Djida, Jean-Daniel; Nieto, Juan J.; Area, Iván
6
2019
Ebola model and optimal control with vaccination constraints. Zbl 1412.49005
Area, IvÁn; Ndaïrou, Faïçal; Nieto, Juan J.; Silva, Cristiana J.; Torres, Delfim F. M.
19
2018
Mathematical modeling of Zika disease in pregnant women and newborns with microcephaly in Brazil. Zbl 1406.34083
Ndaïrou, Faïçal; Area, Iván; Nieto, Juan J.; Silva, Cristiana J.; Torres, Delfim F. M.
10
2018
Orthogonal polynomial interpretation of \(q\)-Toda and \(q\)-Volterra equations. Zbl 1469.65172
Area, I.; Branquinho, A.; Moreno, A. Foulquié; Godoy, E.
2
2018
Archimedes meets Einstein: a millennial geometric bridge. Zbl 1398.83008
Prado, Xabier; Area, Iván; Paredes, Angel; Castiñeiras, José Manuel Domínguez; Edelstein, José D.; Mira, Jorge
2
2018
A new type of Taylor series expansion. Zbl 1497.41027
Masjed-Jamei, Mohammad; Moalemi, Zahra; Area, Iván; Nieto, Juan J.
2
2018
Two finite \(q\)-Sturm-Liouville problems and their orthogonal polynomial solutions. Zbl 1499.39062
Masjed-Jamei, M.; Soleyman, F.; Area, I.; Nieto, J. J.
1
2018
\((p,q)\)-Sturm-Liouville problems and their orthogonal solutions. Zbl 1406.33011
Soleyman, F.; Sadjang, P. Njionou; Masjed-Jamei, M.; Area, I.
1
2018
Numerical computation of a fractional derivative with non-local and non-singular kernel. Zbl 1416.65190
Djida, Jean Daniel; Atangana, A.; Area, I.
41
2017
Advances in real and complex analysis with applications. Selected papers based on the presentations at the 24th international conference on finite or infinite dimensional complex analysis and applications, 24ICFIDCAA, Jaipur, India, August 22–26, 2016. Zbl 1381.00029
30
2017
Mathematical modeling of 2014 Ebola outbreak. Zbl 1381.34066
Area, Iván; Losada, Jorge; Ndaïrou, Faïçal; Nieto, Juan J.; Tcheutia, Daniel D.
18
2017
Characterizations of classical orthogonal polynomials on quadratic lattices. Zbl 1371.33022
Njinkeu Sandjon, Marlyse; Branquinho, Amílcar; Foupouagnigni, Mama; Area, Iván
4
2017
Linear partial divided-difference equation satisfied by multivariate orthogonal polynomials on quadratic lattices. Zbl 1384.33023
Tcheutia, D. D.; Tefo, Y. Guemo; Foupouagnigni, M.; Godoy, E.; Area, I.
4
2017
A finite class of \(q\)-orthogonal polynomials corresponding to inverse gamma distribution. Zbl 1386.34052
Soleyman, F.; Masjed-Jamei, M.; Area, I.
3
2017
Recursive computation of generalised Zernike polynomials. Zbl 1350.41013
Area, I.; Dimitrov, Dimitar K.; Godoy, E.
3
2017
Representation of \((p,q)\)-Bernstein polynomials in terms of \((p,q)\)-Jacobi polynomials. Zbl 1369.33020
Soleyman, F.; Area, I.; Masjed-Jamei, M.; Nieto, J. J.
2
2017
A class of symmetric \(q\)-orthogonal polynomials with four free parameters. Zbl 1377.39014
Area, Iván; Masjed-Jamei, Mohammad
2
2017
Divided-difference equation and three-term recurrence relations of some systems of bivariate \(q\)-orthogonal polynomials. Zbl 1388.39004
Tcheutia, D. D.; Foupouagnigni, M.; Tefo, Y. Guemo; Area, I.
2
2017
On moments of hypergeometric bivariate weight functions. Zbl 1377.44009
Area, I.; Foupouagnigni, M.; Godoy, E.; Guemo Tefo, Y.
1
2017
On \((p,q)\)-classical orthogonal polynomials and their characterization theorems. Zbl 1444.33007
Masjed-Jamei, M.; Soleyman, F.; Area, I.; Nieto, J. J.
1
2017
A note on the fractional logistic equation. Zbl 1400.34003
Area, Iván; Losada, Jorge; Nieto, Juan J.
27
2016
On quasi-periodicity properties of fractional integrals and fractional derivatives of periodic functions. Zbl 1337.26008
Area, I.; Losada, J.; Nieto, J. J.
14
2016
On quasi-periodic properties of fractional sums and fractional differences of periodic functions. Zbl 1410.39022
Area, Iván; Losada, Jorge; Nieto, Juan J.
6
2016
Approximate calculation of sums. II: Gaussian type quadrature. Zbl 1343.65021
Area, Iván; Dimitrov, Dimitar K.; Godoy, Eduardo; Paschoa, Vanessa G.
2
2016
Error bounds for Gaussian quadrature rules using linear kernels. Zbl 1358.65019
Masjed-Jamei, Mohammad; Area, Iván
1
2016
Characterizations of \(\Delta\)-Volterra lattice: a symmetric orthogonal polynomials interpretation. Zbl 1356.37075
Area, I.; Branquinho, A.; Foulquié Moreno, A.; Godoy, E.
1
2016
On a fractional order Ebola epidemic model. Zbl 1344.92150
Area, Ivan; Batarfi, Hanan; Losada, Jorge; Nieto, Juan J.; Shammakh, Wafa; Torres, Ángela
82
2015
On fractional orthonormal polynomials of a discrete variable. Zbl 1418.33002
Area, I.; Djida, J. D.; Losada, J.; Nieto, Juan J.
4
2015
Bounds for the zeros of symmetric Kravchuk polynomials. Zbl 1320.33012
Area, Iván; Dimitrov, Dimitar K.; Godoy, Eduardo; Paschoa, Vanessa
3
2015
On some fractional Pearson equations. Zbl 1329.26012
Area, Ivan; Losada, Jorge; Manintchap, Ariane
3
2015
Bivariate Krawtchouk polynomials: inversion and connection problems with the NAVIMA algorithm. Zbl 1312.33042
Area, I.; Godoy, E.; Rodal, J.; Ronveaux, A.; Zarzo, A.
3
2015
Zero sets of bivariate Hermite polynomials. Zbl 1343.33006
Area, Iván; Dimitrov, Dimitar K.; Godoy, Eduardo
2
2015
Orthogonal polynomial interpretation of \(\Delta\)-Toda equations. Zbl 1325.37039
Area, I.; Branquinho, A.; Foulquié Moreno, A.; Godoy, E.
1
2015
On fractional derivatives and primitives of periodic functions. Zbl 1470.26008
Area, I.; Losada, J.; Nieto, J. J.
9
2014
Approximate calculation of sums. I: Bounds for the zeros of Gram polynomials. Zbl 1311.33006
Area, Iván; Dimitrov, Dimitar K.; Godoy, Eduardo; Paschoa, Vanessa
6
2014
Fixed point theory approach to boundary value problems for second-order difference equations on non-uniform lattices. Zbl 1343.34071
Area, Iván; Godoy, Eduardo; Nieto, Juan J.
4
2014
A symmetric generalization of Sturm-Liouville problems in \(q\)-difference spaces. Zbl 1297.39012
Area, Iván; Masjed-Jamei, Mohammad
3
2014
Linear partial \(q\)-difference equations on \(q\)-linear lattices and their bivariate \(q\)-orthogonal polynomial solutions. Zbl 1329.39011
Area, I.; Atakishiyev, N.; Godoy, E.; Rodal, J.
12
2013
Zeros of classical orthogonal polynomials of a discrete variable. Zbl 1266.33009
Area, Iván; Dimitrov, Dimitar K.; Godoy, Eduardo; Paschoa, Vanessa G.
9
2013
A symmetric generalization of Sturm-Liouville problems in discrete spaces. Zbl 1281.39007
Masjed-Jamei, M.; Area, I.
9
2013
A basic class of symmetric orthogonal polynomials of a discrete variable. Zbl 1263.33006
Masjed-Jamei, Mohammad; Area, Iván
8
2013
On limit relations between some families of bivariate hypergeometric orthogonal polynomials. Zbl 1272.33016
Area, I.; Godoy, E.
7
2013
Basic hypergeometric polynomials with zeros on the unit circle. Zbl 1334.33037
Area, I.; Godoy, E.; Lamblém, R. L.; Sri Ranga, A.
1
2013
Bivariate second-order linear partial differential equations and orthogonal polynomial solutions. Zbl 1248.35037
Area, I.; Godoy, E.; Ronveaux, A.; Zarzo, A.
15
2012
On a class of bivariate second-order linear partial difference equations and their monic orthogonal polynomial solutions. Zbl 1236.39015
Area, I.; Godoy, E.; Rodal, J.
9
2012
Inequalities for zeros of Jacobi polynomials via Obrechkoff’s theorem. Zbl 1247.33013
Area, Iván; Dimitrov, Dimitar K.; Godoy, Eduardo; Rafaeli, Fernando R.
5
2012
Convolutions and zeros of orthogonal polynomials. Zbl 1216.33018
Area, Iván; Dimitrov, Dimitar K.; Godoy, Eduardo
1
2011
On factorization of \(q\)-difference equation for continuous \(q\)-ultraspherical polynomials. Zbl 1188.33026
Area, I.; Atakishiyeva, M. K.; Rodal, J.
2
2009
Structure relations for monic orthogonal polynomials in two discrete variables. Zbl 1142.33004
Rodal, J.; Area, I.; Godoy, E.
11
2008
Multivariate generalized Bernstein polynomials: Identities for orthogonal polynomials of two variables. Zbl 1183.33021
Lewanowicz, Stanisław; Woźny, Paweł; Area, Iván; Godoy, Eduardo
3
2008
Linear partial difference equations of hypergeometric type: orthogonal polynomial solutions in two discrete variables. Zbl 1113.33016
Rodal, J.; Area, I.; Godoy, E.
9
2007
Orthogonal polynomials and the Bézout identity. Zbl 1126.33005
Ronveaux, A.; Zarzo, A.; Area, I.; Godoy, E.
1
2007
Extensions of some results of P. Humbert on Bezout’s identity for classical orthogonal polynomials. Zbl 1094.33005
Area, I.; Godoy, E.; Ronveaux, A.; Zarzo, A.
3
2006
Zeros of Jacobi functions of second kind. Zbl 1089.33003
Area, Iván; Dimitrov, Dimitar K.; Godoy, Eduardo; Ronveaux, André
2
2006
Orthogonal polynomials of two discrete variables on the simplex. Zbl 1065.33013
Rodal, J.; Area, I.; Godoy, E.
13
2005
Hypergeometric type \(q\)-difference equations: Rodrigues type representation for the second kind solution. Zbl 1067.39033
Area, I.; Godoy, E.; Ronveaux, A.; Zarzo, A.
8
2005
\(\Delta\)-Sobolev orthogonal polynomials of Meixner type: asymptotics and limit relation. Zbl 1060.42015
Area, I.; Godoy, E.; Marcellán, F.; Moreno-Balcázar, J. J.
4
2005
Zeros of Gegenbauer and Hermite polynomials and connection coefficients. Zbl 1048.33007
Area, Iván; Dimitrov, Dimitar K.; Godoy, Eduardo; Ronveaux, André
21
2004
Classical symmetric orthogonal polynomials of a discrete variable. Zbl 1055.33004
Area, I.; Godoy, E.; Ronveaux, A.; Zarzo, A.
16
2004
Formulae relating little \(q\)-Jacobi, \(q\)-Hahn and \(q\)-Bernstein polynomials: Application to \(q\)-Bézier curve evaluation. Zbl 1065.33010
Area, I.; Godoy, E.; Woźny, P.; Lewanowicz, S.; Ronveaux, A.
5
2004
\(\Delta\)-coherent pairs and orthogonal polynomials of a discrete variable. Zbl 1047.42019
Area, I.; Godoy, E.; Marcellán, F.
17
2003
Hypergeometric-type differential equations: second kind solutions and related integrals. Zbl 1036.33005
Area, I.; Godoy, E.; Ronveaux, A.; Zarzo, A.
9
2003
Classical discrete orthogonal polynomials, Lah numbers, and involutory matrices. Zbl 1050.33005
Area, I.; Godoy, E.; Ronveaux, A.; Zarzo, A.
5
2003
\(q\)-coherent pairs and \(q\)-orthogonal polynomials. Zbl 1020.33005
Area, I.; Godoy, E.; Marcellán, F.
9
2002
Solving connection and linearization problems within the Askey scheme and its \(q\)-analogue via inversion formulas. Zbl 0988.33008
Area, I.; Godoy, E.; Ronveaux, A.; Zarzo, A.
31
2001
Classification of all \(\Delta\)-coherent pairs. Zbl 0972.42017
Area, I.; Godoy, E.; Marcellán, F.
13
2000
Inner products involving differences: The Meixner-Sobolev polynomials. Zbl 0948.33004
Area, I.; Godoy, E.; Marcellán, F.
10
2000
Classical orthogonal polynomials: Dependence of parameters. Zbl 0962.33006
Ronveaux, A.; Zarzo, A.; Area, I.; Godoy, E.
9
2000
Ratio and Plancherel-Rotach asymptotics for Meixner-Sobolev orthogonal polynomials. Zbl 0984.42016
Area, I.; Godoy, E.; Marcellán, F.; Moreno-Balcázar, J. J.
9
2000
Recurrence relations for the coefficients of the Fourier series expansions with respect to q-classical orthogonal polynomials. Zbl 1047.33009
Lewanowicz, Stanislaw; Godoy, Eduardo; Area, Iván; Ronveaux, André; Zarzo, Alejandro
8
2000
Inner products involving \(q\)-differences: The little \(q\)-Laguerre-Sobolev polynomials. Zbl 0957.33008
Area, I.; Godoy, E.; Marcellán, F.; Moreno-Balcázar, J. J.
4
2000
Inversion problems in the \(q\)-Hahn tableau. Zbl 0953.33005
Area, I.; Godoy, E.; Ronveaux, A.; Zarzo, A.
16
1999
Decomposition of polynomials with respect to the cyclic group of order \(m\). Zbl 0947.65057
Ronveaux, A.; Zarzo, A.; Area, I.; Godoy, E.
2
1999
Corrigendum: Minimal recurrence relations for connection coefficients between classical orthogonal polynomials: Discrete case. Zbl 0934.33014
Area, I.; Godoy, E.; Ronveaux, A.; Zarzo, A.
33
1998
On the limit relations between classical continuous and discrete orthogonal polynomials. Zbl 0934.33013
Godoy, E.; Ronveaux, A.; Zarzo, A.; Area, I.
12
1998
Transverse limits in the Askey tableau. Zbl 0936.33004
Ronveaux, A.; Zarzo, A.; Area, I.; Godoy, E.
12
1998
Recursive approach to connection and linearization coefficients between polynomials. Zbl 0922.33004
Ronveaux, A.; Area, I.; Godoy, E.; Zarzo, A.
10
1998
Bernstein bases and Hahn-Eberlein orthogonal polynomials. Zbl 0942.33006
Ronveaux, A.; Zarzo, A.; Area, I.; Godoy, E.
9
1998
Connection problems for polynomial solutions of nonhomogeneous differential and difference equations. Zbl 0933.65147
Godoy, E.; Ronveaux, A.; Zarzo, A.; Area, I.
7
1998
Fourth-order difference equation for the first associated of classical discrete orthogonal polynomials. Zbl 0906.33003
Ronveaux, A.; Godoy, E.; Zarzo, A.; Area, I.
7
1998
Minimal recurrence relations for connection coefficients between classical orthogonal polynomials: Continuous case. Zbl 0909.65008
Godoy, E.; Ronveaux, A.; Zarzo, A.; Area, I.
41
1997
Results for some inversion problems for classical continuous and discrete orthogonal polynomials. Zbl 0992.33003
Zarzo, A.; Area, I.; Godoy, E.; Ronveaux, A.
25
1997
Minimal recurrence relations for connection coefficients between classical orthogonal polynomials: Discrete case. Zbl 0892.65078
Area, I.; Godoy, E.; Ronveaux, A.; Zarzo, A.
13
1997
all top 5

Cited by 967 Authors

76 Area, Iván
46 Godoy, Eduardo Paciência
36 Ronveaux, André
28 Nieto Roig, Juan Jose
24 Băleanu, Dumitru I.
20 Zarzo, Alejandro
18 Koepf, Wolfram A.
17 Marcellán Español, Francisco
16 Masjed-Jamei, Mohammad
15 Foupouagnigni, Mama
15 Torres, Delfim Fernando Marado
12 Abdeljawad, Thabet
12 Dimitrov, Dimitar K.
12 Lewanowicz, Stanisław
10 Ahmad, Bashir
10 Aktaş, Rabia
10 Moreno-Balcázar, Juan José
10 Shah, Kamal
9 Woźny, Paweł
8 Arqub, Omar Abu
7 Al-saedi, Ahmed Eid Salem
7 Chaggara, Hamza
7 Dehesa, Jesús S.
7 Fernandez, Arran
7 Srivastava, Hari Mohan
7 Tcheutia, Daniel Duviol
6 Álvarez-Nodarse, Renato
6 Djida, Jean Daniel
6 Doha, Eid H.
6 Rezapour, Shahram
5 Abdullah, Farah Aini
5 Aloui, Baghdadi
5 Bahaa, Gaber Mohamed
5 Dominici, Diego Ernesto
5 Hattaf, Khalid
5 Jordaan, Kerstin
5 Kumar, Devendra
5 López, José Luis
5 Maayah, Banan
5 Momani, Shaher M.
5 Pinzón-Cortés, Natalia Camila
5 Sadjang, P. Njionou
5 Soleyman, Fatemeh
5 Yousfi, Noura
4 Abd-Elhameed, Waleed Mohamed
4 Agarwal, Ravi P.
4 Ahmed, Hany M.
4 Al-Mdallal, Qasem M.
4 Atangana, Abdon
4 Ding, Xiaoli
4 Doungmo Goufo, Emile Franc
4 Etemad, Sina
4 Ferreira, Chelo
4 Gómez-Aguilar, José Francisco
4 Ismail, Ahmad Izani Md.
4 Jarad, Fahd
4 Khan, Aziz
4 Khan, Hasib
4 Mohd, Mohd Hafiz
4 Pérez, Teresa E.
4 Sánchez-Ruiz, Jorge
4 Singh, Jagdev
3 Agarwal, Praveen
3 Ait-Haddou, Rachid
3 Ben Cheikh, Youssèf
3 Boukhouima, Adnane
3 Branquinho, Amílcar José Pinto Lopes
3 Cheng, Jinfa
3 da Rocha, Zélia
3 D’Ovidio, Mirko
3 Draux, André
3 Driver, Kathy A.
3 Güldoğan, Esra
3 He, Jiawei
3 Hobiny, Aatef D.
3 Kumar, Sunil
3 Latha, V. Preethi
3 Losada, Jorge
3 Lotfi, El Mehdi
3 Mahrouf, Marouane
3 Ndaïrou, Faïçal
3 Nguyen Huy Tuan
3 Okyere, Eric
3 Paschoa, Vanessa G.
3 Piñar, Miguel A.
3 Rafaeli, Fernando Rodrigo
3 Rakkiyappan, Rajan
3 Rihan, Fathalla A.
3 Saad, Khaled Mohammed
3 Sidi Ammi, Moulay Rchid
3 Silva, Cristiana J.
3 Souissi, Jihad
3 Sweilam, Nasser Hassan
3 Wang, Guotao
3 Yáñez, Rafael J.
3 Youssri, Youssri H.
3 Yusuf, Abdullahi A.
3 Zhang, Lihong
3 Zhou, Yong
2 Abdelaziz, Mahmoud A. M.
...and 867 more Authors
all top 5

Cited in 164 Serials

61 Journal of Computational and Applied Mathematics
49 Advances in Difference Equations
43 Chaos, Solitons and Fractals
21 Journal of Mathematical Analysis and Applications
19 Integral Transforms and Special Functions
18 Applied Mathematics and Computation
18 Journal of Difference Equations and Applications
13 Fractals
11 The Ramanujan Journal
11 Mathematical Biosciences and Engineering
10 Discrete and Continuous Dynamical Systems. Series S
10 International Journal of Applied and Computational Mathematics
9 Physica A
9 Numerical Algorithms
8 Computational and Applied Mathematics
8 Discrete Dynamics in Nature and Society
7 Journal of Approximation Theory
7 Journal of Inequalities and Applications
6 Bulletin of the Iranian Mathematical Society
6 Nonlinear Dynamics
6 Boundary Value Problems
6 International Journal of Biomathematics
5 Mathematics of Computation
5 Applied Mathematics Letters
5 Communications in Nonlinear Science and Numerical Simulation
5 Mediterranean Journal of Mathematics
5 Mathematical Modelling of Natural Phenomena
5 Mathematics
4 Mathematics and Computers in Simulation
4 Applied Numerical Mathematics
4 Journal of Symbolic Computation
4 Mathematical Problems in Engineering
4 Bulletin of the Malaysian Mathematical Sciences Society. Second Series
3 Journal of Mathematical Physics
3 Proceedings of the American Mathematical Society
3 Acta Applicandae Mathematicae
3 Journal of Scientific Computing
3 Linear Algebra and its Applications
3 Bulletin des Sciences Mathématiques
3 Complexity
3 Fractional Calculus & Applied Analysis
3 Lobachevskii Journal of Mathematics
3 Evolution Equations and Control Theory
3 Journal of Mathematics
3 AIMS Mathematics
3 Computational and Mathematical Biophysics
2 Computers & Mathematics with Applications
2 European Journal of Physics
2 Journal of the Franklin Institute
2 Reports on Mathematical Physics
2 BIT
2 SIAM Journal on Numerical Analysis
2 Advances in Applied Mathematics
2 Journal of Integral Equations and Applications
2 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
2 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
2 The Journal of Analysis
2 Journal of the Egyptian Mathematical Society
2 Abstract and Applied Analysis
2 Nonlinear Analysis. Modelling and Control
2 Analysis and Applications (Singapore)
2 Journal of Biological Dynamics
2 Mathematics in Computer Science
2 Journal of Pseudo-Differential Operators and Applications
2 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM
2 Afrika Matematika
2 Journal of Function Spaces
2 Chelyabinskiĭ Fiziko-Matematicheskiĭ Zhurnal
2 Ural Mathematical Journal
1 International Journal of Modern Physics A
1 International Journal of Modern Physics B
1 Indian Journal of Pure & Applied Mathematics
1 Israel Journal of Mathematics
1 Letters in Mathematical Physics
1 Linear and Multilinear Algebra
1 Mathematical Methods in the Applied Sciences
1 Mathematische Semesterberichte
1 Rocky Mountain Journal of Mathematics
1 Russian Mathematical Surveys
1 Advances in Mathematics
1 Fuzzy Sets and Systems
1 International Journal of Mathematics and Mathematical Sciences
1 Journal of the Korean Mathematical Society
1 Journal of Optimization Theory and Applications
1 Monatshefte für Mathematik
1 Proceedings of the Edinburgh Mathematical Society. Series II
1 Rendiconti del Circolo Matemàtico di Palermo. Serie II
1 Results in Mathematics
1 Tamkang Journal of Mathematics
1 European Journal of Combinatorics
1 Systems & Control Letters
1 Stochastic Analysis and Applications
1 Computer Aided Geometric Design
1 Physica D
1 Acta Mathematicae Applicatae Sinica. English Series
1 Optimization
1 Constructive Approximation
1 Mathematical and Computer Modelling
1 Queueing Systems
1 Machine Learning
...and 64 more Serials
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Cited in 51 Fields

231 Special functions (33-XX)
189 Ordinary differential equations (34-XX)
157 Biology and other natural sciences (92-XX)
112 Real functions (26-XX)
89 Numerical analysis (65-XX)
80 Harmonic analysis on Euclidean spaces (42-XX)
65 Partial differential equations (35-XX)
58 Difference and functional equations (39-XX)
37 Calculus of variations and optimal control; optimization (49-XX)
31 Dynamical systems and ergodic theory (37-XX)
31 Approximations and expansions (41-XX)
31 Operator theory (47-XX)
20 Combinatorics (05-XX)
15 Integral equations (45-XX)
13 Probability theory and stochastic processes (60-XX)
11 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
10 Number theory (11-XX)
10 Functions of a complex variable (30-XX)
10 Systems theory; control (93-XX)
9 Linear and multilinear algebra; matrix theory (15-XX)
9 Functional analysis (46-XX)
8 Computer science (68-XX)
7 Integral transforms, operational calculus (44-XX)
6 Quantum theory (81-XX)
6 Statistical mechanics, structure of matter (82-XX)
6 Information and communication theory, circuits (94-XX)
5 Fluid mechanics (76-XX)
5 Operations research, mathematical programming (90-XX)
3 Sequences, series, summability (40-XX)
3 Global analysis, analysis on manifolds (58-XX)
3 Optics, electromagnetic theory (78-XX)
3 Geophysics (86-XX)
2 Mathematical logic and foundations (03-XX)
2 Commutative algebra (13-XX)
2 Algebraic geometry (14-XX)
2 Statistics (62-XX)
1 General and overarching topics; collections (00-XX)
1 History and biography (01-XX)
1 Order, lattices, ordered algebraic structures (06-XX)
1 Field theory and polynomials (12-XX)
1 Nonassociative rings and algebras (17-XX)
1 Category theory; homological algebra (18-XX)
1 Group theory and generalizations (20-XX)
1 Measure and integration (28-XX)
1 Abstract harmonic analysis (43-XX)
1 Geometry (51-XX)
1 Differential geometry (53-XX)
1 General topology (54-XX)
1 Mechanics of particles and systems (70-XX)
1 Classical thermodynamics, heat transfer (80-XX)
1 Relativity and gravitational theory (83-XX)

Citations by Year