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## Yakubovich, Semyon B.

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 Author ID: yakubovich.semyon-b Published as: Yakubovich, S.; Yakubovich, S. B.; Yakubovich, Semen; Yakubovich, Semen B.; Yakubovich, Semyon; Yakubovich, Semyon B.; Yakubovich, Semën B. Homepage: http://cmup.fc.up.pt/cmup/yakubov/ External Links: MGP · Math-Net.Ru · ResearchGate · dblp
 Documents Indexed: 176 Publications since 1985, including 3 Books Reviewing Activity: 96 Reviews
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#### Co-Authors

 92 single-authored 11 Luchko, Yurii F. 8 Saigo, Megumi 8 Vu Kim Tuan 6 Fisher, Brian 5 Vieira, Nelson 4 Kalla, Shyam Lal 4 Loureiro, Ana Filipa 4 Rodrigues, Maria Manuela 4 Srivastava, Hari Mohan 3 Britvina, Lyubov’ E. 3 Marichev, Oleg Igorevich 3 Passian, A. 3 Sousa, Rúben 2 Gorenflo, Rudolf 2 Guerra, Manuel 2 Gusarevich, L. D. 2 Koucheckian, S. 2 Lemeshevskaya, N. P. 2 Mityushev, Vladimir V. 2 Nazardonyavi, Sadegh 2 Nguyen Than’ Khaj 2 Nguyen Thanh Hai 2 Telci, Mustafa 1 Abreu, Luís Daniel 1 Alzer, Horst 1 Bencheikh, Y. 1 Brychkov, Yury A. 1 Buschman, Robert George 1 Chen, Yongping 1 Craddock, Mark 1 Daher, Radouan 1 Dalla Riva, Matteo 1 de Graff, J. 1 de Romero, Susana Salinas 1 Drygaś, Piotr 1 Glaeske, Hans-Jürgen 1 Hai, Nguyêñ Thanh 1 Kilbas, Anatoliĭ Aleksandrovich 1 Kouchekian, Sherwin 1 Marcellán Español, Francisco 1 Maroni, Pascal 1 Martins, Ma. I. R. 1 Moshinskiĭ, A. I. 1 Nguyen Than Hai 1 Raina, Ravinder Krishna 1 Sakaeda, Naoto 1 Simpson, Hugh D. 1 Thundat, T. 1 Tuan, Yu Kim 1 Van Assche, Walter 1 Vasil’ev, Yuri V. 1 Wimp, Jet 1 Yarotzkaya, L. D.
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all top 5

#### Fields

 139 Integral transforms, operational calculus (44-XX) 84 Special functions (33-XX) 28 Harmonic analysis on Euclidean spaces (42-XX) 24 Integral equations (45-XX) 15 Real functions (26-XX) 13 Number theory (11-XX) 13 Functional analysis (46-XX) 12 Partial differential equations (35-XX) 6 Operator theory (47-XX) 5 Ordinary differential equations (34-XX) 5 Numerical analysis (65-XX) 4 Approximations and expansions (41-XX) 3 Probability theory and stochastic processes (60-XX) 2 Field theory and polynomials (12-XX) 2 Commutative algebra (13-XX) 2 Functions of a complex variable (30-XX) 2 Difference and functional equations (39-XX) 1 Combinatorics (05-XX) 1 Potential theory (31-XX) 1 Sequences, series, summability (40-XX) 1 Computer science (68-XX) 1 Mechanics of deformable solids (74-XX) 1 Statistical mechanics, structure of matter (82-XX)

#### Citations contained in zbMATH Open

125 Publications have been cited 537 times in 291 Documents Cited by Year
The hypergeometric approach to integral transforms and convolutions. Zbl 0803.44001
Yakubovich, Semen B.; Luchko, Yurii F.
1994
Index transforms. Zbl 0845.44001
Yakubovich, S. B.
1996
Multiple orthogonal polynomials associated with Macdonald functions. Zbl 0959.42016
Van Assche, W.; Yakubovich, S. B.
2000
On the least values of $$L_{p}$$-norms for the Kontorovich–Lebedev transform and its convolution. Zbl 1068.44002
Yakubovich, Semyon B.
2004
The double Mellin-Barnes type integrals and their applications to convolution theory. Zbl 0760.33008
Nguyen Thanh Hai; Yakubovich, S. B.
1992
Convolutions related to the Fourier and Kontorovich-Lebedev transforms revisited. Zbl 1191.44002
Yakubovich, S. B.; Britvina, L. E.
2010
On the Kontorovich-Lebedev transformation. Zbl 1055.44006
Yakubovich, Semyon B.
2003
Fundamental solutions of the fractional two-parameter telegraph equation. Zbl 1381.35234
Yakubovich, S.; Rodrigues, M. M.
2012
Uncertainty principles for the Kontorovich-Lebedev transform. Zbl 1153.44004
Yakubovich, S. B.
2008
A class of index transforms with Whittaker’s function as the kernel. Zbl 0912.44004
Srivastava, H. M.; Vasil’ev, Yu. V.; Yakubovich, S. B.
1998
Integral transforms of the Kontorovich-Lebedev convolution type. Zbl 1067.44004
Yakubovich, Semyon B.
2003
A class of index transforms with general kernels. Zbl 0927.44003
Yakubovich, S. B.; Fisher, Brian
1999
On the Mehler-Fock transform in $$L_ p$$-space. Zbl 0873.44002
Yakubovich, Semën B.; Saigo, Megumi
1997
An operational method for solving some classes of integro-differential equations. Zbl 0827.44004
Luchko, Yu. F.; Yakubovich, S. B.
1994
Composition structure of integral transformations. Zbl 0604.44003
Vu Kim Tuan; Marichev, O. I.; Yakubovich, S. B.
1986
Closed-form evaluation of two-dimensional static lattice sums. Zbl 1371.33032
Yakubovich, S.; Drygas, P.; Mityushev, V.
2016
Eigenfunctions and fundamental solutions of the fractional two-parameter Laplacian. Zbl 1189.35361
Yakubovich, Semyon
2010
A class of polynomials and discrete transformations associated with the Kontorovich-Lebedev operators. Zbl 1232.44006
Yakubovich, Semyon B.
2009
On a criterion for two-sided integral transforms to be unitary. Zbl 0765.44002
Vu Kim Tuan; Yakubovich, S. B.
1992
The heat kernel and Heisenberg inequalities related to the Kontorovich-Lebedev transform. Zbl 1235.44006
Yakubovich, Semyon
2011
Donoho-Stark and Paley-Wiener theorems for the $$G$$-transform. Zbl 1196.44002
Tuan, Vu Kim; Yakubovich, Semyon
2010
On the half-Hartley transform, its iteration and compositions with Fourier transforms. Zbl 1307.44008
Yakubovich, S.
2014
The Plancherel, Titchmarsh and convolution theorems for the half-Hartley transform. Zbl 1306.44006
Yakubovich, S.
2014
Central factorials under the Kontorovich-Lebedev transform of polynomials. Zbl 1272.44001
Loureiro, Ana F.; Yakubovich, S.
2013
On a Riemann-Liouville fractional analog of the Laplace operator with positive energy. Zbl 1245.35015
Dalla Riva, M.; Yakubovich, S.
2012
On the orthogonality of the MacDonald’s functions. Zbl 1180.33006
Passian, A.; Simpson, H.; Kouchekian, S.; Yakubovich, S. B.
2009
On a progress in the Kontorovich-Lebedev transform theory and related integral operators. Zbl 1158.44002
Yakubovich, Semyon B.
2008
Boundedness and inversion properties of certain convolution transforms. Zbl 1041.44003
Yakubovich, Semyon B.
2003
The Cherry transform and its relationship with a singular Sturm-Liouville problem. Zbl 0972.44003
Srivastava, H. M.; Tuan, Yu Kim; Yakubovich, S. B.
2000
On Parseval equalities and boundedness properties for Kontorovich-Lebedev type operators. Zbl 1274.44006
Yakubovich, S. B.; de Graff, J.
1999
Operational properties of convolution for the Kontorovich-Lebedev transform. Zbl 0819.44006
Yakubovich, S. B.; Luchko, Yu. F.
1994
Certain identities, connection and explicit formulas for the Bernoulli and Euler numbers and the Riemann zeta-values. Zbl 1338.11032
Yakubovich, Semyon
2015
A convolution operator related to the generalized Mehler-Fock and Kontorovich-Lebedev transforms. Zbl 1267.44002
Rodrigues, M. M.; Vieira, N.; Yakubovich, S.
2013
An index integral and convolution operator related to the kontorovich-lebedev and mehler-Fock transforms. Zbl 1274.44007
Yakubovich, Semyon
2012
A general class of Voronoi’s and Koshliakov-Ramanujan’s summation formulas involving $$d_{k}(n)$$. Zbl 1235.44007
Yakubovich, Semyon
2011
Properties of index transforms in modeling of nanostructures and plasmonic systems. Zbl 1309.82044
Passian, A.; Koucheckian, S.; Yakubovich, S. B.; Thundat, T.
2010
Beurling’s theorems and inversion formulas for certain index transforms. Zbl 1230.42009
Yakubovich, Semyon B.
2009
The Kontorovich-Lebedev transformation on Sobolev type spaces. Zbl 1091.44003
Yakubovich, Semyon B.
2005
Analog of the Hausdorff-Young theorem for the Lebedev integral. Zbl 1092.44003
Yakubovich, Semyon B.
2005
$$L_p$$-boundedness of general index transforms. Zbl 1091.44002
Yakubovich, S. B.
2005
The Titchmarsh integral transformation by the index of a Bessel function. Zbl 0959.44005
Yakubovich, S. B.
2000
Index integral transformations of Titchmarsh type. Zbl 0886.44003
Yakubovich, S. B.
1997
On the theory of the Kontorovich-Lebedev transformation on distributions. Zbl 0810.46039
Yakubovich, Semen B.; Fisher, Brian
1994
Operational calculus for the generalized fractional differential operator and applications. Zbl 0830.44004
Luchko, Yu. F.; Yakubovich, S. B.
1993
The convolution method for the development of new Leibniz rules involving fractional derivatives and of their integral analogues. Zbl 0822.33006
Srivastava, H. M.; Yakubovich, S. B.; Luchko, Yu. F.
1993
The spectral expansion approach to index transforms and connections with the theory of diffusion processes. Zbl 1395.44012
Sousa, Rúben; Yakubovich, Semyon
2018
On the iterated Stieltjes transform and its convolution with applications to singular integral equations. Zbl 1348.44004
Yakubovich, S.; Martins, M.
2014
Integral and series transformations via Ramanujan’s identities and Salem’s type equivalences to the Riemann hypothesis. Zbl 1348.44005
Yakubovich, Semyon
2014
On a polynomial sequence associated with the Bessel operator. Zbl 1285.33010
Loureiro, Ana F.; Maroni, P.; Yakubovich, S.
2014
The Kontorovich-Lebedev transform as a map between $$d$$-orthogonal polynomials. Zbl 1338.44008
Loureiro, Ana F.; Yakubovich, S.
2013
Another proof of Spira’s inequality and its application to the Riemann hypothesis. Zbl 1306.11067
2013
The Fourier-Stieltjes transform of Minkowskis $$?(x)$$ function and an affirmative answer to Salem’s problem. Zbl 1218.42001
Yakubovich, Semyon
2011
On the Mehler-Fock integral transform in $$L_p$$-spaces. (Research announcement). Zbl 1049.44501
Yakubovich, S. B.
1993
New families of Leibniz type rules for fractional calculus and their integral analogues. Zbl 0786.26007
Srivastava, H. M.; Yakubovich, S. B.; Luchko, Yu. F.
1993
On a new approach to convolution constructions. Zbl 0783.44004
Yakubovich, S. B.; Kalla, Shyam L.
1993
Multidimensional Watson transforms. Zbl 0795.44001
Hai, Nguyen Thanh; Yakubovich, S. B.; Wimp, Jet
1992
On a constructive method for construction of integral convolutions. Zbl 0715.44001
Yakubovich, S. B.
1990
On some two-dimensional integral transforms of convolution type. Zbl 0699.44006
Nguyen Than Hai; Yakubovich, S. B.
1990
The Kontorovich-Lebedev integral transform in a new function class. Zbl 0574.42002
Vu Kim Tuan; Yakubovich, S. B.
1985
On the Weber integral equation and solution to the Weber-Titchmarsh problem. Zbl 1380.45001
Yakubovich, S.
2018
New index transforms of the Lebedev-Skalskaya type. Zbl 1337.44003
Yakubovich, S.
2016
New summation and transformation formulas of the Poisson, Müntz, Möbius and Voronoi type. Zbl 1355.44004
Yakubovich, Semyon
2015
On especial cases of Boas-Buck-type polynomial sequences. Zbl 1330.44001
Loureiro, Ana F.; Yakubovich, S.
2014
On a heat kernel for the index Whittaker transform. Zbl 1299.44004
Rodrigues, M. M.; Yakubovich, S.
2013
On some Rajchman measures and equivalent Salem’s problem. Zbl 1277.33004
Yakubovich, Semyon
2013
Operational calculus for Bessel’s fractional equation. Zbl 1260.35245
Rodrigues, M. M.; Vieira, N.; Yakubovich, S.
2013
Voronoi-Nasim summation formulas and index transforms. Zbl 1253.44007
Yakubovich, Semyon
2012
An analog of Morgan’s theorem for the Kontorovich-Lebedev transform. Zbl 1194.44005
2010
Convolution operators related to the Fourier cosine and Kontorovich-Lebedev transformations. Zbl 1180.44004
Yakubovich, Semyon B.; Britvina, Lyubov E.
2009
Hardy-type theorem for orthogonal functions with respect to their zeros. The Jacobi weight case. Zbl 1139.42005
Abreu, L. D.; Marcellan, F.; Yakubovich, S. B.
2008
A distribution associated with the Kontorovich-Lebedev transform. Zbl 1139.46035
Yakubovich, Semyon B.
2006
Index transforms associated with products of Whittaker’s functions. Zbl 1015.44002
Yakubovich, Semyon B.
2002
On the index integral transformation with Nicholson’s function as the kernel. Zbl 1003.44003
Yakubovich, Semyon B.
2002
On the class of Lebedev-Skalskaya type index transforms. Zbl 0917.44003
Yakubovich, S. B.; Saigo, Megumi; Lemeshevskaya, N. P.
1994
On the theory of convolution integrals for $$G$$-transforms. Zbl 0917.44004
Saigo, Megumi; Yakubovich, S. B.
1991
Generating operators and convolutions for some integral transforms. Zbl 0736.44003
Luchko, Yu. F.; Yakubovich, S. B.
1991
On the convolution for the Kontorovich-Lebedev transform and its applications to integral equations. Zbl 0638.44001
Yakubovich, S. B.
1987
Remark on an inversion formula of Wimp’s integral transform with respect to the index. Zbl 0575.44002
Yakubovich, S. B.
1985
Orthogonal polynomials with the Prudnikov-type weights. Zbl 1436.33011
Yakubovich, S.
2020
On the product formula and convolution associated with the index Whittaker transform. Zbl 1457.44004
Sousa, Rúben; Guerra, Manuel; Yakubovich, Semyon
2019
Identities involving Bernoulli and Euler polynomials. Zbl 1390.11047
Alzer, Horst; Yakubovich, Semyon
2018
New classes of non-convolution integral equations arising from Lie symmetry analysis of hyperbolic pdes. Zbl 1382.35016
2017
On some properties of the Abel-Goncharov polynomials and the Casas-Alvero problem. Zbl 1350.41007
Yakubovich, S.
2016
New index transforms with the product of Bessel functions. Zbl 1336.44003
Yakubovich, S.
2015
On the generalized Lebedev index transform. Zbl 1315.44004
Yakubovich, S.
2015
Polynomial problems of the Casas-Alvero type. Zbl 1412.26029
Yakubovich, S.
2014
New inversion, convolution and Titchmarsh’s theorems for the half-Hilbert transform. Zbl 1317.44003
Yakubovich, S.
2014
Time-dependent problems for a wedge via Kontorovich-Lebedev’s transform. Zbl 1310.46041
Vieira, N.; Yakubovich, S.
2014
Extremely abundant numbers and the Riemann hypothesis. Zbl 1342.11009
2014
On the Yor integral and a system of polynomials related to the Kontorovich-Lebedev transform. Zbl 1305.44004
Yakubovich, Semyon
2013
A Voronoi-type summation formula involving $${\sigma}_{i{\tau}}(n)$$ and index transforms. Zbl 1266.44006
Yakubovich, Semyon
2013
A new Kontorovich-Lebedev-like transformation. Zbl 1262.44003
Yakubovich, S.
2012
Index integral representations for connection between Cartesian, cylindrical, and spheroidal systems. Zbl 1232.44005
Passian, A.; Koucheckian, S.; Yakubovich, S.
2011
Multidimensional Kontorovich-Lebedev transforms. Zbl 1214.44003
Yakubovich, Semyon
2011
Generalized Fourier transform associated with the differential operator $$D^n_z$$ in the complex domain. Zbl 1193.42058
Ben Cheikh, Y.; Yakubovich, S.
2010
On the theory of convolution integral equations related to Lebedev’s type operators. Zbl 1181.45009
Yakubovich, Semyon B.
2009
Asymptotic and summation formulas related to the Lebedev integrals. Zbl 1145.44003
Yakubovich, Semyon B.
2008
A convolution related to the inverse Kontorovich-Lebedev transform. Zbl 1142.44005
Yakubovich, S. B.; Britvina, L. E.
2007
$$L_{2}$$-boundedness of the gamma-product transform. Zbl 1132.44004
Yakubovich, S. B.
2006
On a testing-function space for distributions associated with the Kantorovich–Lebedev transform. Zbl 1116.46028
Yakubovich, Semyon B.
2006
Orthogonal polynomials with the Prudnikov-type weights. Zbl 1436.33011
Yakubovich, S.
2020
On the product formula and convolution associated with the index Whittaker transform. Zbl 1457.44004
Sousa, Rúben; Guerra, Manuel; Yakubovich, Semyon
2019
The spectral expansion approach to index transforms and connections with the theory of diffusion processes. Zbl 1395.44012
Sousa, Rúben; Yakubovich, Semyon
2018
On the Weber integral equation and solution to the Weber-Titchmarsh problem. Zbl 1380.45001
Yakubovich, S.
2018
Identities involving Bernoulli and Euler polynomials. Zbl 1390.11047
Alzer, Horst; Yakubovich, Semyon
2018
New classes of non-convolution integral equations arising from Lie symmetry analysis of hyperbolic pdes. Zbl 1382.35016
2017
Closed-form evaluation of two-dimensional static lattice sums. Zbl 1371.33032
Yakubovich, S.; Drygas, P.; Mityushev, V.
2016
New index transforms of the Lebedev-Skalskaya type. Zbl 1337.44003
Yakubovich, S.
2016
On some properties of the Abel-Goncharov polynomials and the Casas-Alvero problem. Zbl 1350.41007
Yakubovich, S.
2016
Certain identities, connection and explicit formulas for the Bernoulli and Euler numbers and the Riemann zeta-values. Zbl 1338.11032
Yakubovich, Semyon
2015
New summation and transformation formulas of the Poisson, Müntz, Möbius and Voronoi type. Zbl 1355.44004
Yakubovich, Semyon
2015
New index transforms with the product of Bessel functions. Zbl 1336.44003
Yakubovich, S.
2015
On the generalized Lebedev index transform. Zbl 1315.44004
Yakubovich, S.
2015
On the half-Hartley transform, its iteration and compositions with Fourier transforms. Zbl 1307.44008
Yakubovich, S.
2014
The Plancherel, Titchmarsh and convolution theorems for the half-Hartley transform. Zbl 1306.44006
Yakubovich, S.
2014
On the iterated Stieltjes transform and its convolution with applications to singular integral equations. Zbl 1348.44004
Yakubovich, S.; Martins, M.
2014
Integral and series transformations via Ramanujan’s identities and Salem’s type equivalences to the Riemann hypothesis. Zbl 1348.44005
Yakubovich, Semyon
2014
On a polynomial sequence associated with the Bessel operator. Zbl 1285.33010
Loureiro, Ana F.; Maroni, P.; Yakubovich, S.
2014
On especial cases of Boas-Buck-type polynomial sequences. Zbl 1330.44001
Loureiro, Ana F.; Yakubovich, S.
2014
Polynomial problems of the Casas-Alvero type. Zbl 1412.26029
Yakubovich, S.
2014
New inversion, convolution and Titchmarsh’s theorems for the half-Hilbert transform. Zbl 1317.44003
Yakubovich, S.
2014
Time-dependent problems for a wedge via Kontorovich-Lebedev’s transform. Zbl 1310.46041
Vieira, N.; Yakubovich, S.
2014
Extremely abundant numbers and the Riemann hypothesis. Zbl 1342.11009
2014
Central factorials under the Kontorovich-Lebedev transform of polynomials. Zbl 1272.44001
Loureiro, Ana F.; Yakubovich, S.
2013
A convolution operator related to the generalized Mehler-Fock and Kontorovich-Lebedev transforms. Zbl 1267.44002
Rodrigues, M. M.; Vieira, N.; Yakubovich, S.
2013
The Kontorovich-Lebedev transform as a map between $$d$$-orthogonal polynomials. Zbl 1338.44008
Loureiro, Ana F.; Yakubovich, S.
2013
Another proof of Spira’s inequality and its application to the Riemann hypothesis. Zbl 1306.11067
2013
On a heat kernel for the index Whittaker transform. Zbl 1299.44004
Rodrigues, M. M.; Yakubovich, S.
2013
On some Rajchman measures and equivalent Salem’s problem. Zbl 1277.33004
Yakubovich, Semyon
2013
Operational calculus for Bessel’s fractional equation. Zbl 1260.35245
Rodrigues, M. M.; Vieira, N.; Yakubovich, S.
2013
On the Yor integral and a system of polynomials related to the Kontorovich-Lebedev transform. Zbl 1305.44004
Yakubovich, Semyon
2013
A Voronoi-type summation formula involving $${\sigma}_{i{\tau}}(n)$$ and index transforms. Zbl 1266.44006
Yakubovich, Semyon
2013
Fundamental solutions of the fractional two-parameter telegraph equation. Zbl 1381.35234
Yakubovich, S.; Rodrigues, M. M.
2012
On a Riemann-Liouville fractional analog of the Laplace operator with positive energy. Zbl 1245.35015
Dalla Riva, M.; Yakubovich, S.
2012
An index integral and convolution operator related to the kontorovich-lebedev and mehler-Fock transforms. Zbl 1274.44007
Yakubovich, Semyon
2012
Voronoi-Nasim summation formulas and index transforms. Zbl 1253.44007
Yakubovich, Semyon
2012
A new Kontorovich-Lebedev-like transformation. Zbl 1262.44003
Yakubovich, S.
2012
The heat kernel and Heisenberg inequalities related to the Kontorovich-Lebedev transform. Zbl 1235.44006
Yakubovich, Semyon
2011
A general class of Voronoi’s and Koshliakov-Ramanujan’s summation formulas involving $$d_{k}(n)$$. Zbl 1235.44007
Yakubovich, Semyon
2011
The Fourier-Stieltjes transform of Minkowskis $$?(x)$$ function and an affirmative answer to Salem’s problem. Zbl 1218.42001
Yakubovich, Semyon
2011
Index integral representations for connection between Cartesian, cylindrical, and spheroidal systems. Zbl 1232.44005
Passian, A.; Koucheckian, S.; Yakubovich, S.
2011
Multidimensional Kontorovich-Lebedev transforms. Zbl 1214.44003
Yakubovich, Semyon
2011
Convolutions related to the Fourier and Kontorovich-Lebedev transforms revisited. Zbl 1191.44002
Yakubovich, S. B.; Britvina, L. E.
2010
Eigenfunctions and fundamental solutions of the fractional two-parameter Laplacian. Zbl 1189.35361
Yakubovich, Semyon
2010
Donoho-Stark and Paley-Wiener theorems for the $$G$$-transform. Zbl 1196.44002
Tuan, Vu Kim; Yakubovich, Semyon
2010
Properties of index transforms in modeling of nanostructures and plasmonic systems. Zbl 1309.82044
Passian, A.; Koucheckian, S.; Yakubovich, S. B.; Thundat, T.
2010
An analog of Morgan’s theorem for the Kontorovich-Lebedev transform. Zbl 1194.44005
2010
Generalized Fourier transform associated with the differential operator $$D^n_z$$ in the complex domain. Zbl 1193.42058
Ben Cheikh, Y.; Yakubovich, S.
2010
A class of polynomials and discrete transformations associated with the Kontorovich-Lebedev operators. Zbl 1232.44006
Yakubovich, Semyon B.
2009
On the orthogonality of the MacDonald’s functions. Zbl 1180.33006
Passian, A.; Simpson, H.; Kouchekian, S.; Yakubovich, S. B.
2009
Beurling’s theorems and inversion formulas for certain index transforms. Zbl 1230.42009
Yakubovich, Semyon B.
2009
Convolution operators related to the Fourier cosine and Kontorovich-Lebedev transformations. Zbl 1180.44004
Yakubovich, Semyon B.; Britvina, Lyubov E.
2009
On the theory of convolution integral equations related to Lebedev’s type operators. Zbl 1181.45009
Yakubovich, Semyon B.
2009
Uncertainty principles for the Kontorovich-Lebedev transform. Zbl 1153.44004
Yakubovich, S. B.
2008
On a progress in the Kontorovich-Lebedev transform theory and related integral operators. Zbl 1158.44002
Yakubovich, Semyon B.
2008
Hardy-type theorem for orthogonal functions with respect to their zeros. The Jacobi weight case. Zbl 1139.42005
Abreu, L. D.; Marcellan, F.; Yakubovich, S. B.
2008
Asymptotic and summation formulas related to the Lebedev integrals. Zbl 1145.44003
Yakubovich, Semyon B.
2008
A convolution related to the inverse Kontorovich-Lebedev transform. Zbl 1142.44005
Yakubovich, S. B.; Britvina, L. E.
2007
A distribution associated with the Kontorovich-Lebedev transform. Zbl 1139.46035
Yakubovich, Semyon B.
2006
$$L_{2}$$-boundedness of the gamma-product transform. Zbl 1132.44004
Yakubovich, S. B.
2006
On a testing-function space for distributions associated with the Kantorovich–Lebedev transform. Zbl 1116.46028
Yakubovich, Semyon B.
2006
The Kontorovich-Lebedev transformation on Sobolev type spaces. Zbl 1091.44003
Yakubovich, Semyon B.
2005
Analog of the Hausdorff-Young theorem for the Lebedev integral. Zbl 1092.44003
Yakubovich, Semyon B.
2005
$$L_p$$-boundedness of general index transforms. Zbl 1091.44002
Yakubovich, S. B.
2005
Real inversion formula for the bilateral Laplace transform. Zbl 1339.44002
Yakubovich, S. B.
2005
On the least values of $$L_{p}$$-norms for the Kontorovich–Lebedev transform and its convolution. Zbl 1068.44002
Yakubovich, Semyon B.
2004
On the Kontorovich-Lebedev transformation. Zbl 1055.44006
Yakubovich, Semyon B.
2003
Integral transforms of the Kontorovich-Lebedev convolution type. Zbl 1067.44004
Yakubovich, Semyon B.
2003
Boundedness and inversion properties of certain convolution transforms. Zbl 1041.44003
Yakubovich, Semyon B.
2003
On the integral transformation associated with the product of gamma-functions. Zbl 1050.44002
Yakubovich, Semyon B.
2003
Index transforms associated with products of Whittaker’s functions. Zbl 1015.44002
Yakubovich, Semyon B.
2002
On the index integral transformation with Nicholson’s function as the kernel. Zbl 1003.44003
Yakubovich, Semyon B.
2002
Convolutions and neutrix convolution in connection with the incomplete gamma function. Zbl 1028.33001
Fisher, B.; Yakubovich, S.; Telci, M.
2002
Multiple orthogonal polynomials associated with Macdonald functions. Zbl 0959.42016
Van Assche, W.; Yakubovich, S. B.
2000
The Cherry transform and its relationship with a singular Sturm-Liouville problem. Zbl 0972.44003
Srivastava, H. M.; Tuan, Yu Kim; Yakubovich, S. B.
2000
The Titchmarsh integral transformation by the index of a Bessel function. Zbl 0959.44005
Yakubovich, S. B.
2000
A class of index transforms with general kernels. Zbl 0927.44003
Yakubovich, S. B.; Fisher, Brian
1999
On Parseval equalities and boundedness properties for Kontorovich-Lebedev type operators. Zbl 1274.44006
Yakubovich, S. B.; de Graff, J.
1999
On Lebedev type integral transformations associated with modified Bessel functions. Zbl 1041.33005
Yakubovich, Semyon B.
1999
A class of index transforms with Whittaker’s function as the kernel. Zbl 0912.44004
Srivastava, H. M.; Vasil’ev, Yu. V.; Yakubovich, S. B.
1998
On the non-convolution transformation with the Macdonald type kernel function. Zbl 1032.44003
Yakubovich, S. B.; Gusarevich, L. D.
1998
On the stabilization of the inversion of some Kontorovich-Lebedev like integral transforms. Zbl 0915.44006
Glaeske, H.-J.; Yakubovich, S. B.
1998
On the Mehler-Fock transform in $$L_ p$$-space. Zbl 0873.44002
Yakubovich, Semën B.; Saigo, Megumi
1997
Index integral transformations of Titchmarsh type. Zbl 0886.44003
Yakubovich, S. B.
1997
Index transforms. Zbl 0845.44001
Yakubovich, S. B.
1996
On Leibniz rules involving generalized fractional calculus operators. Zbl 0921.26004
Sakaeda, Naoto; Yakubovich, S. B.; Saigo, Megumi
1996
Some asymptotic expansions of special functions by their indices. Zbl 0935.33002
Yakubovich, S. B.; Saigo, Megumi; Gusarevich, L. D.
1995
Applications of $$N$$-fractional calculus to infinite sums. Zbl 0854.26008
de Romero, Susana Salinas; Kalla, Shyam L.; Yakubovich, S. B.
1995
On some new properties of the Kontorovich-Lebedev like integral transforms. Zbl 0838.44003
Yakubovich, Semen B.
1995
On the new approach to the constructions of the index transforms. Zbl 0839.44004
Yakubovich, S. B.
1995
The hypergeometric approach to integral transforms and convolutions. Zbl 0803.44001
Yakubovich, Semen B.; Luchko, Yurii F.
1994
An operational method for solving some classes of integro-differential equations. Zbl 0827.44004
Luchko, Yu. F.; Yakubovich, S. B.
1994
Operational properties of convolution for the Kontorovich-Lebedev transform. Zbl 0819.44006
Yakubovich, S. B.; Luchko, Yu. F.
1994
On the theory of the Kontorovich-Lebedev transformation on distributions. Zbl 0810.46039
Yakubovich, Semen B.; Fisher, Brian
1994
On the class of Lebedev-Skalskaya type index transforms. Zbl 0917.44003
Yakubovich, S. B.; Saigo, Megumi; Lemeshevskaya, N. P.
1994
On the integral convolution for inverse $$G$$-transforms. Zbl 0885.44005
Gorenflo, Rudolf; Yakubovich, Semen B.
1994
On the Mehler-Fock index transform in $$L_ p$$-space. Zbl 0861.44002
Yakubovich, Semen; Saigo, Megumi
1994
Composition theorems of Plancherel type for index transforms. Zbl 0837.44004
Yakubovich, S. B.
1994
On the index-convolution Kontorovich-Lebedev transform. Zbl 0828.44005
Yakubovich, Semen B.
1994
On Abel type integral equations of first kind. Zbl 0807.45003
Gorenflo, Rudolf; Kilbas, Anatoly A.; Yakubovich, Semen B.
1994
...and 25 more Documents
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#### Cited by 283 Authors

 65 Yakubovich, Semyon B. 12 Vu Kim Tuan 10 Mejjaoli, Hatem 9 Van Assche, Walter 8 Prasad, Akhilesh 7 Ben Cheikh, Youssèf 7 Loureiro, Ana Filipa 7 Nguyen Xuan Thao 7 Srivastava, Hari Mohan 6 Luchko, Yurii F. 6 Mandal, Upain Kumar 6 Nguyen Thanh Hong 6 Vieira, Nelson 5 Kiryakova, Virginia S. 5 Luchko, Yuri 5 Zhang, Lun 4 Bielski, Sebastian 4 Coussement, Els 4 Craddock, Mark 4 Drygaś, Piotr 4 Garra, Roberto 4 Ghobber, Saifallah 4 González, Benito J. 4 Hoang, Pham Van 4 Khoa, Nguyen Minh 4 Mityushev, Vladimir V. 4 Ouni, Abdelwaheb 4 Rodrigues, Maria Manuela 4 Rogosin, Sergei V. 4 Saxena, Ram Kishore 3 Al-Musallam, Fadhel A. 3 Alkandari, Maryam 3 Bazhlekova, Emilia G. 3 Ben Romdhane, Neila 3 Choi, Junesang 3 Hanna, Latif A.-M. 3 Lamiri, Imed 3 Maroni, Pascal 3 Negrin, Emilio R. 3 Ntouyas, Sotiris K. 3 Paneva-Konovska, Jordanka D. 3 Passian, A. 3 Sousa, Rúben 3 Szmytkowski, Radosław 3 Trimèche, Khalifa 3 Tuan, Trinh 3 Verma, Sandeep Kumar 2 Agarwal, Praveen 2 Amberg, Bernhard 2 Amirov, Rauf Kh. 2 Ansari, Alireza 2 Becker, Peter A. 2 Coussement, Jonathan 2 Delić, Aleksandra 2 Ferreira, Milton 2 Fisher, Brian 2 Glaeske, Hans-Jürgen 2 Gomilko, Alexandre M. 2 Guerra, Manuel 2 Gutiérrez-Tovar, Y. E. 2 Jovanović, Boško S. 2 Kazarin, Lev S. 2 Kilbas, Anatoliĭ Aleksandrovich 2 Koucheckian, S. 2 Kuijlaars, Arno B. J. 2 Lima, Hélder 2 Machado, José António Tenreiro 2 Mainardi, Francesco 2 Méndez Pérez, José M. R. 2 Nguyen Minh Tuan 2 Orsingher, Enzo 2 Polito, Federico 2 Qi, Feng 2 Rappoport, Yuriĭ Moiseevich 2 Román, Pablo Manuel 2 Shilin, Il’ya Anatol’evich 2 Sraieb, Nadia 2 Tariboon, Jessada 2 Zaghouani, Ali 2 Živanović, Sandra 1 Abreu-Blaya, Ricardo 1 Abreu, Luís Daniel 1 Ahbli, Khalid 1 Ahmad, Bashir 1 Alkauskas, Giedrius 1 Altin, Abdullah 1 Alzer, Horst 1 Andrianov, Igor Vasil’evich 1 Antipova, Irina Avgustovna 1 Árciga Alejandre, Martín Patricio 1 Ashurov, Ravshan R. 1 Askari, Hassan Randjbar 1 Azmoodeh, Ehsan 1 Beckermann, Bernard 1 Ben Salem, Nejib 1 Bengochea, Gabriel R. 1 Borodin, Alexei 1 Bory Reyes, Juan 1 Bouzeffour, Fethi 1 Britvina, Lyubov’ E. ...and 183 more Authors
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#### Cited in 89 Serials

 68 Integral Transforms and Special Functions 26 Journal of Mathematical Analysis and Applications 22 Fractional Calculus & Applied Analysis 21 Journal of Computational and Applied Mathematics 9 Complex Analysis and Operator Theory 7 Journal of Mathematical Physics 7 Journal of Approximation Theory 6 Journal of Integral Equations and Applications 4 Computers & Mathematics with Applications 4 Applied Mathematics and Computation 4 Results in Mathematics 3 Ukrainian Mathematical Journal 3 Mathematische Nachrichten 3 Transactions of the American Mathematical Society 3 Zeitschrift für Analysis und ihre Anwendungen 3 Mediterranean Journal of Mathematics 2 Indian Journal of Pure & Applied Mathematics 2 Journal of Statistical Physics 2 Lithuanian Mathematical Journal 2 Mathematics of Computation 2 Acta Mathematica Vietnamica 2 Journal of Differential Equations 2 Proceedings of the American Mathematical Society 2 Acta Mathematica Hungarica 2 Numerical Algorithms 2 Journal of Mathematical Sciences (New York) 2 Mathematical Physics, Analysis and Geometry 2 Journal of Inequalities and Applications 2 Mathematical Inequalities & Applications 2 Analysis (München) 2 Comptes Rendus. Mathématique. Académie des Sciences, Paris 2 International Journal of Wavelets, Multiresolution and Information Processing 2 International Journal of Applied and Computational Mathematics 1 Analysis Mathematica 1 Applicable Analysis 1 Archives of Mechanics 1 Communications in Mathematical Physics 1 Computer Physics Communications 1 Israel Journal of Mathematics 1 Mathematical Notes 1 Nuclear Physics. B 1 Chaos, Solitons and Fractals 1 Theory of Probability and its Applications 1 Archiv der Mathematik 1 Functiones et Approximatio. Commentarii Mathematici 1 Glasgow Mathematical Journal 1 International Journal of Mathematics and Mathematical Sciences 1 Journal of Functional Analysis 1 Le Matematiche 1 Studies in Applied Mathematics 1 Advances in Applied Mathematics 1 Bulletin of the Korean Mathematical Society 1 Constructive Approximation 1 Forum Mathematicum 1 Science in China. Series A 1 Applications of Mathematics 1 Geometric and Functional Analysis. GAFA 1 Stochastic Processes and their Applications 1 Theory of Probability and Mathematical Statistics 1 Electronic Journal of Differential Equations (EJDE) 1 Turkish Journal of Mathematics 1 Bulletin des Sciences Mathématiques 1 Boletín de la Sociedad Matemática Mexicana. Third Series 1 Mathematical Problems in Engineering 1 Doklady Mathematics 1 The Ramanujan Journal 1 Nonlinear Dynamics 1 Abstract and Applied Analysis 1 Differential Equations 1 Computational Methods in Applied Mathematics 1 Journal of Applied Mathematics 1 Communications on Pure and Applied Analysis 1 Multiscale Modeling & Simulation 1 Analysis and Applications (Singapore) 1 Boundary Value Problems 1 Complex Variables and Elliptic Equations 1 Communications in Mathematical Analysis 1 Advances in High Energy Physics 1 Asian-European Journal of Mathematics 1 São Paulo Journal of Mathematical Sciences 1 Differential Equations and Applications 1 Advances in Mathematical Physics 1 Journal of Pseudo-Differential Operators and Applications 1 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 1 Eurasian Mathematical Journal 1 Analysis and Mathematical Physics 1 Izvestiya Saratovskogo Universiteta. Novaya Seriya. Seriya Matematika, Mekhanika, Informatika 1 Mathematics 1 Korean Journal of Mathematics
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#### Cited in 40 Fields

 142 Special functions (33-XX) 130 Integral transforms, operational calculus (44-XX) 74 Harmonic analysis on Euclidean spaces (42-XX) 46 Real functions (26-XX) 35 Integral equations (45-XX) 34 Partial differential equations (35-XX) 29 Ordinary differential equations (34-XX) 26 Number theory (11-XX) 22 Functional analysis (46-XX) 21 Operator theory (47-XX) 15 Numerical analysis (65-XX) 13 Probability theory and stochastic processes (60-XX) 11 Functions of a complex variable (30-XX) 9 Abstract harmonic analysis (43-XX) 6 Linear and multilinear algebra; matrix theory (15-XX) 6 Approximations and expansions (41-XX) 5 Sequences, series, summability (40-XX) 5 Geometry (51-XX) 5 Mechanics of deformable solids (74-XX) 5 Statistical mechanics, structure of matter (82-XX) 4 History and biography (01-XX) 4 Combinatorics (05-XX) 4 Information and communication theory, circuits (94-XX) 3 Field theory and polynomials (12-XX) 2 Group theory and generalizations (20-XX) 2 Potential theory (31-XX) 2 Several complex variables and analytic spaces (32-XX) 2 Dynamical systems and ergodic theory (37-XX) 2 Difference and functional equations (39-XX) 2 Calculus of variations and optimal control; optimization (49-XX) 2 Statistics (62-XX) 2 Quantum theory (81-XX) 1 Associative rings and algebras (16-XX) 1 Topological groups, Lie groups (22-XX) 1 Measure and integration (28-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Fluid mechanics (76-XX) 1 Optics, electromagnetic theory (78-XX) 1 Astronomy and astrophysics (85-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX)