Ding, Yadan; Min, Chao Semi-classical orthogonal polynomials associated with a modified Gaussian weight. (English) Zbl 07812546 Result. Math. 79, No. 3, Paper No. 102, 17 p. (2024). MSC: 33C45 42C05 PDFBibTeX XMLCite \textit{Y. Ding} and \textit{C. Min}, Result. Math. 79, No. 3, Paper No. 102, 17 p. (2024; Zbl 07812546) Full Text: DOI
Castillo, K.; Petronilho, J. Classical orthogonal polynomials revisited. (English) Zbl 1522.33007 Result. Math. 78, No. 4, Paper No. 155, 26 p. (2023). MSC: 33C45 42C05 PDFBibTeX XMLCite \textit{K. Castillo} and \textit{J. Petronilho}, Result. Math. 78, No. 4, Paper No. 155, 26 p. (2023; Zbl 1522.33007) Full Text: DOI arXiv
Gupta, Vijay; Milovanović, Gradimir V. A solution to exponential operators. (English) Zbl 1520.41005 Result. Math. 77, No. 5, Paper No. 207, 8 p. (2022). MSC: 41A35 33C45 33D45 PDFBibTeX XMLCite \textit{V. Gupta} and \textit{G. V. Milovanović}, Result. Math. 77, No. 5, Paper No. 207, 8 p. (2022; Zbl 1520.41005) Full Text: DOI
Haouala, Iness Generalized distributions and Jacobi-Dunkl approximations. (English) Zbl 1518.33007 Result. Math. 77, No. 4, Paper No. 173, 17 p. (2022). Reviewer: Thomas Ernst (Uppsala) MSC: 33C47 33B10 33C45 41A17 41A27 41A50 42A10 42A20 46F10 PDFBibTeX XMLCite \textit{I. Haouala}, Result. Math. 77, No. 4, Paper No. 173, 17 p. (2022; Zbl 1518.33007) Full Text: DOI
Volosivets, S. S. Approximation by Haar and Walsh polynomials in weighted variable exponent Lebesgue spaces. (English) Zbl 07554623 Result. Math. 77, No. 4, Paper No. 160, 14 p. (2022). MSC: 42C10 42A10 46E30 PDFBibTeX XMLCite \textit{S. S. Volosivets}, Result. Math. 77, No. 4, Paper No. 160, 14 p. (2022; Zbl 07554623) Full Text: DOI
Meleşteu, Alexandra Diana; Păltănea, Radu On a method for uniform summation of the Fourier-Jacobi series. (English) Zbl 1504.40013 Result. Math. 77, No. 4, Paper No. 153, 20 p. (2022). Reviewer: Bogdan Szal (Zielona Góra) MSC: 40C05 41A36 42C10 PDFBibTeX XMLCite \textit{A. D. Meleşteu} and \textit{R. Păltănea}, Result. Math. 77, No. 4, Paper No. 153, 20 p. (2022; Zbl 1504.40013) Full Text: DOI
Mbouna, D.; Suzuki, A. On another characterization of Askey-Wilson polynomials. (English) Zbl 1492.42026 Result. Math. 77, No. 4, Paper No. 148, 14 p. (2022). MSC: 42C05 33C45 PDFBibTeX XMLCite \textit{D. Mbouna} and \textit{A. Suzuki}, Result. Math. 77, No. 4, Paper No. 148, 14 p. (2022; Zbl 1492.42026) Full Text: DOI arXiv
Pycke, J. R. On three families of Karhunen-Loève expansions associated with classical orthogonal polynomials. (English) Zbl 1475.33004 Result. Math. 76, No. 3, Paper No. 148, 27 p. (2021). MSC: 33C45 42C10 45C05 60G15 PDFBibTeX XMLCite \textit{J. R. Pycke}, Result. Math. 76, No. 3, Paper No. 148, 27 p. (2021; Zbl 1475.33004) Full Text: DOI
Ghanmi, Allal; Lamsaf, Khalil Bivariate poly-analytic Hermite polynomials. (English) Zbl 1477.33019 Result. Math. 76, No. 1, Paper No. 3, 21 p. (2021). Reviewer: Pranay Goswami (Delhi) MSC: 33C50 44A15 44A20 PDFBibTeX XMLCite \textit{A. Ghanmi} and \textit{K. Lamsaf}, Result. Math. 76, No. 1, Paper No. 3, 21 p. (2021; Zbl 1477.33019) Full Text: DOI arXiv
Benahmadi, Abdelhadi; Ghanmi, Allal Dual of 2D fractional Fourier transform associated to Itô-Hermite polynomials. (English) Zbl 1473.44005 Result. Math. 75, No. 4, Paper No. 168, 11 p. (2020). Reviewer: D. L. Suthar (Dessie) MSC: 44A20 33C45 33C47 42B10 32A36 PDFBibTeX XMLCite \textit{A. Benahmadi} and \textit{A. Ghanmi}, Result. Math. 75, No. 4, Paper No. 168, 11 p. (2020; Zbl 1473.44005) Full Text: DOI arXiv
Chouchene, Frej; Haouala, Iness de La Vallée Poussin approximations and Jacobi-Dunkl convolution structures. (English) Zbl 1437.33010 Result. Math. 75, No. 2, Paper No. 49, 21 p. (2020). MSC: 33C47 33B10 42A10 42A16 PDFBibTeX XMLCite \textit{F. Chouchene} and \textit{I. Haouala}, Result. Math. 75, No. 2, Paper No. 49, 21 p. (2020; Zbl 1437.33010) Full Text: DOI
Martínez-Finkelshtein, A.; Silva Ribeiro, L. L.; Sri Ranga, A.; Tyaglov, M. Complementary Romanovski-Routh polynomials, orthogonal polynomials on the unit circle, and extended Coulomb wave functions. (English) Zbl 1431.42047 Result. Math. 75, No. 1, Paper No. 42, 23 p. (2020). MSC: 42C05 33C47 33C45 PDFBibTeX XMLCite \textit{A. Martínez-Finkelshtein} et al., Result. Math. 75, No. 1, Paper No. 42, 23 p. (2020; Zbl 1431.42047) Full Text: DOI
Benahmadi, Abdelhadi; Ghanmi, Allal On a novel class of polyanalytic Hermite polynomials. (English) Zbl 1431.33010 Result. Math. 74, No. 4, Paper No. 186, 23 p. (2019). MSC: 33C45 PDFBibTeX XMLCite \textit{A. Benahmadi} and \textit{A. Ghanmi}, Result. Math. 74, No. 4, Paper No. 186, 23 p. (2019; Zbl 1431.33010) Full Text: DOI arXiv
Mañas-Mañas, Juan F.; Moreno-Balcázar, Juan J. Classical Sobolev orthogonal polynomials: eigenvalue problem. (English) Zbl 1423.33016 Result. Math. 74, No. 4, Paper No. 144, 12 p. (2019). MSC: 33C47 42C05 PDFBibTeX XMLCite \textit{J. F. Mañas-Mañas} and \textit{J. J. Moreno-Balcázar}, Result. Math. 74, No. 4, Paper No. 144, 12 p. (2019; Zbl 1423.33016) Full Text: DOI arXiv
Jyoti; Vashisht, Lalit Kumar; Verma, Geetika Operators related to the reconstruction property in Banach spaces. (English) Zbl 1419.42027 Result. Math. 74, No. 3, Paper No. 125, 17 p. (2019). Reviewer: Devendra Kumar (Al-Baha) MSC: 42C15 42C10 42C40 PDFBibTeX XMLCite \textit{Jyoti} et al., Result. Math. 74, No. 3, Paper No. 125, 17 p. (2019; Zbl 1419.42027) Full Text: DOI
Berriochoa, Elías; Cachafeiro, Alicia; García-Amor, José M. Algorithms, convergence and rate of convergence for an interpolation model between Lagrange and Hermite. (English) Zbl 1390.41002 Result. Math. 73, No. 1, Paper No. 40, 30 p. (2018). MSC: 41A05 65D05 42C05 PDFBibTeX XMLCite \textit{E. Berriochoa} et al., Result. Math. 73, No. 1, Paper No. 40, 30 p. (2018; Zbl 1390.41002) Full Text: DOI
Guessab, Allal; Semisalov, Boris A multivariate version of Hammer’s inequality and its consequences in numerical integration. (English) Zbl 1496.65039 Result. Math. 73, No. 1, Paper No. 33, 37 p. (2018). MSC: 65D32 33C45 41A44 PDFBibTeX XMLCite \textit{A. Guessab} and \textit{B. Semisalov}, Result. Math. 73, No. 1, Paper No. 33, 37 p. (2018; Zbl 1496.65039) Full Text: DOI
Cvetković, Aleksandar S.; Milovanović, Gradimir V.; Vasović, Nevena Recurrence relation and differential equation for a class of orthogonal polynomials. (English) Zbl 1390.33020 Result. Math. 73, No. 1, Paper No. 16, 19 p. (2018). MSC: 33C45 PDFBibTeX XMLCite \textit{A. S. Cvetković} et al., Result. Math. 73, No. 1, Paper No. 16, 19 p. (2018; Zbl 1390.33020) Full Text: DOI
Awonusika, Richard Olu; Taheri, Ali On Gegenbauer polynomials and coefficients \(c^{\ell}_{j}(\nu )(1\leq j\leq \ell, \nu >-1/2)\). (English) Zbl 1376.33003 Result. Math. 72, No. 3, 1359-1367 (2017). MSC: 33C05 33C45 35K08 PDFBibTeX XMLCite \textit{R. O. Awonusika} and \textit{A. Taheri}, Result. Math. 72, No. 3, 1359--1367 (2017; Zbl 1376.33003) Full Text: DOI
Marcellán, F.; Sri Ranga, A. Sobolev orthogonal polynomials on the unit circle and coherent pairs of measures of the second kind. (English) Zbl 1375.42042 Result. Math. 71, No. 3-4, 1127-1149 (2017). MSC: 42C05 33C47 33C45 PDFBibTeX XMLCite \textit{F. Marcellán} and \textit{A. Sri Ranga}, Result. Math. 71, No. 3--4, 1127--1149 (2017; Zbl 1375.42042) Full Text: DOI Link
Cvetković, Aleksandar S.; Matejić, Marjan M.; Milovanović, Gradimir V. Orthogonal polynomials for modified Chebyshev measure of the first kind. (English) Zbl 1339.33013 Result. Math. 69, No. 3-4, 443-455 (2016). MSC: 33C45 PDFBibTeX XMLCite \textit{A. S. Cvetković} et al., Result. Math. 69, No. 3--4, 443--455 (2016; Zbl 1339.33013) Full Text: DOI
Filipuk, Galina; Hilger, Stefan Linear graininess time scales and ladder operators of orthogonal polynomials. (English) Zbl 1284.26038 Result. Math. 64, No. 1-2, 13-35 (2013). Reviewer: Petr Zemanek (Brno) MSC: 26E70 33C47 PDFBibTeX XMLCite \textit{G. Filipuk} and \textit{S. Hilger}, Result. Math. 64, No. 1--2, 13--35 (2013; Zbl 1284.26038) Full Text: DOI
Fejzullahu, Bujar Xh. On orthogonal expansions with respect to the generalized Jacobi weight. (English) Zbl 1272.42015 Result. Math. 63, No. 3-4, 1177-1193 (2013). Reviewer: Chrysoula G. Kokologiannaki (Patras) MSC: 42C05 42C10 PDFBibTeX XMLCite \textit{B. Xh. Fejzullahu}, Result. Math. 63, No. 3--4, 1177--1193 (2013; Zbl 1272.42015) Full Text: DOI
Bruder, Andrea; Littlejohn, L. L. Nonclassical Jacobi polynomials and Sobolev orthogonality. (English) Zbl 1259.33015 Result. Math. 61, No. 3-4, 283-313 (2012). Reviewer: Chrysoula G. Kokologiannaki (Patras) MSC: 33C45 33B30 47B25 34B20 47B65 PDFBibTeX XMLCite \textit{A. Bruder} and \textit{L. L. Littlejohn}, Result. Math. 61, No. 3--4, 283--313 (2012; Zbl 1259.33015) Full Text: DOI
Nikolov, Geno; Alexandrov, Alexander On the behavior of Gegenbauer polynomials in the complex plane. (English) Zbl 1267.30015 Result. Math. 62, No. 3-4, 415-428 (2012). Reviewer: George Csordas (Honolulu) MSC: 30C10 30A10 33C45 41A17 PDFBibTeX XMLCite \textit{G. Nikolov} and \textit{A. Alexandrov}, Result. Math. 62, No. 3--4, 415--428 (2012; Zbl 1267.30015) Full Text: DOI
Li, Zhongkai; Song, Futao; Li, Kai Characterizations of smoothness of functions in terms of their Jacobi expansions. (English) Zbl 1217.42053 Result. Math. 59, No. 1-2, 13-34 (2011). Reviewer: Som Prakash Goyal (Jaipur) MSC: 42C10 33C45 PDFBibTeX XMLCite \textit{Z. Li} et al., Result. Math. 59, No. 1--2, 13--34 (2011; Zbl 1217.42053) Full Text: DOI
Hilger, Stefan The category of ladders. (English) Zbl 1193.81028 Result. Math. 57, No. 3-4, 335-364 (2010). MSC: 81Q10 81R15 PDFBibTeX XMLCite \textit{S. Hilger}, Result. Math. 57, No. 3--4, 335--364 (2010; Zbl 1193.81028) Full Text: DOI
Lupaş, Alexandru; Vernescu, Andrei A characterization of the polynomials of Legendre. (English) Zbl 1181.33012 Result. Math. 53, No. 3-4, 463-468 (2009). MSC: 33C45 PDFBibTeX XMLCite \textit{A. Lupaş} and \textit{A. Vernescu}, Result. Math. 53, No. 3--4, 463--468 (2009; Zbl 1181.33012) Full Text: DOI
Kounchev, Ognyan; Render, Hermann On the Bernstein operator of S. Morigi and M. Neamtu. (English) Zbl 1181.41037 Result. Math. 53, No. 3-4, 311-322 (2009). MSC: 41A35 42A05 33C45 PDFBibTeX XMLCite \textit{O. Kounchev} and \textit{H. Render}, Result. Math. 53, No. 3--4, 311--322 (2009; Zbl 1181.41037) Full Text: DOI Link
Fejzullahu, Bujar Xh. A Cohen type inequality for orthogonal expansions with respect to the generalized Jacobi weight. (English) Zbl 1181.42025 Result. Math. 55, No. 3-4, 373-381 (2009). MSC: 42C05 42C10 PDFBibTeX XMLCite \textit{B. Xh. Fejzullahu}, Result. Math. 55, No. 3--4, 373--381 (2009; Zbl 1181.42025) Full Text: DOI
Reimer, Manfred Cost-reduction in hyperinterpolation. (English) Zbl 1109.41003 Result. Math. 49, No. 3-4, 361-375 (2006). Reviewer: László Leindler (Szeged) MSC: 41A05 33C45 PDFBibTeX XMLCite \textit{M. Reimer}, Result. Math. 49, No. 3--4, 361--375 (2006; Zbl 1109.41003) Full Text: DOI
Krasikov, Ilia Multiplicity of zeros and discrete orthogonal polynomials. (English) Zbl 1052.30012 Result. Math. 45, No. 1-2, 59-66 (2004). Reviewer: Vania Mascioni (Muncie) MSC: 30C15 33C47 PDFBibTeX XMLCite \textit{I. Krasikov}, Result. Math. 45, No. 1--2, 59--66 (2004; Zbl 1052.30012) Full Text: DOI arXiv
Annaby, Mahmoud H. \(q\)-type sampling theorems. (English) Zbl 1046.94002 Result. Math. 44, No. 3-4, 214-225 (2003). MSC: 94A20 33D45 42A38 94A12 33D15 PDFBibTeX XMLCite \textit{M. H. Annaby}, Result. Math. 44, No. 3--4, 214--225 (2003; Zbl 1046.94002) Full Text: DOI
Everitt, W. N.; Littlejohn, L. L.; Marić, V. On properties of the Legendre differential expression. (English) Zbl 1058.33008 Result. Math. 42, No. 1-2, 42-68 (2002). Reviewer: Nácere Hayek (La Laguna) MSC: 33C45 47B25 34B05 47B65 PDFBibTeX XMLCite \textit{W. N. Everitt} et al., Result. Math. 42, No. 1--2, 42--68 (2002; Zbl 1058.33008) Full Text: DOI
Vonhoff, Rolf A left-definite study of Legendre’s differential equation and the fourth-order Legendre type differential equation. (English) Zbl 0967.34015 Result. Math. 37, No. 1-2, 155-196 (2000). Reviewer: Quingkai Kong (DeKalb) MSC: 34B24 34B20 34L10 33C45 42C10 PDFBibTeX XMLCite \textit{R. Vonhoff}, Result. Math. 37, No. 1--2, 155--196 (2000; Zbl 0967.34015) Full Text: DOI
Lesky, Peter A.; Waibel, Bernd-Michael Orthogonality of Racah and Wilson polynomials. (Orthogonalität von Racahpolynomen und Wilsonpolynomen.) (German) Zbl 0949.33009 Result. Math. 35, No. 1-2, 119-133 (1999). Reviewer: Robert G.Buschman (Langlois) MSC: 33C45 39A10 PDFBibTeX XMLCite \textit{P. A. Lesky} and \textit{B.-M. Waibel}, Result. Math. 35, No. 1--2, 119--133 (1999; Zbl 0949.33009) Full Text: DOI
Della Vecchia, B.; Mastroianni, G.; Vértesi, P. One-sided convergence conditions for Hermite-Fejér interpolation of higher order of Lagrange type. (English) Zbl 0918.41006 Result. Math. 34, No. 3-4, 294-309 (1998). Reviewer: Eleonora Storozhenko (Odessa) MSC: 41A05 42C05 PDFBibTeX XMLCite \textit{B. Della Vecchia} et al., Result. Math. 34, No. 3--4, 294--309 (1998; Zbl 0918.41006) Full Text: DOI
Ismail, Mourad E. H. Discriminants and functions of the second kind of orthogonal polynomials. (English) Zbl 0911.42012 Result. Math. 34, No. 1-2, 132-149 (1998). Reviewer: M.G.de Bruin (Delft) MSC: 42C05 33C45 PDFBibTeX XMLCite \textit{M. E. H. Ismail}, Result. Math. 34, No. 1--2, 132--149 (1998; Zbl 0911.42012) Full Text: DOI
Gasper, George; Trebels, Walter A lower estimate for the Lebesgue constants of linear means of Laguerre expansions. (English) Zbl 0946.42021 Result. Math. 34, No. 1-2, 91-100 (1998). Reviewer: W.Van Assche (Heverlee) MSC: 42C10 33C45 42A45 39A70 PDFBibTeX XMLCite \textit{G. Gasper} and \textit{W. Trebels}, Result. Math. 34, No. 1--2, 91--100 (1998; Zbl 0946.42021) Full Text: DOI
Abdelkarim, F.; Maroni, P. The \(D_ \omega\)-classical orthogonal polynomials. (English) Zbl 0889.42020 Result. Math. 32, No. 1-2, 1-28 (1997). Reviewer: M.G.de Bruin (Delft) MSC: 42C05 33C45 PDFBibTeX XMLCite \textit{F. Abdelkarim} and \textit{P. Maroni}, Result. Math. 32, No. 1--2, 1--28 (1997; Zbl 0889.42020) Full Text: DOI
Lesky, Peter A. Infinite and finite orthogonal systems of continuous Hahn polynomials. (Unendliche und endliche Orthogonalsysteme von continuous Hahnpolynomen.) (German) Zbl 0870.33006 Result. Math. 31, No. 1-2, 127-135 (1997). MSC: 33C50 33C45 42C15 34B24 PDFBibTeX XMLCite \textit{P. A. Lesky}, Result. Math. 31, No. 1--2, 127--135 (1997; Zbl 0870.33006) Full Text: DOI
Grawe, Markus Asymptotic growth of Hermite series and an application to the theory of the Riemann zeta function. (English) Zbl 0871.11053 Result. Math. 31, No. 1-2, 105-114 (1997). Reviewer: T.M.Apostol (Pasadena) MSC: 11M26 33C45 41A60 42C10 PDFBibTeX XMLCite \textit{M. Grawe}, Result. Math. 31, No. 1--2, 105--114 (1997; Zbl 0871.11053) Full Text: DOI
Sauer, Thomas The genuine Bernstein-Durrmmeyer operator on a simplex. (English) Zbl 0817.41014 Result. Math. 26, No. 1-2, 99-130 (1994). Reviewer: D.D.Stancu (Cluj-Napoca) MSC: 41A10 41A36 41A40 42C05 40G99 33C45 PDFBibTeX XMLCite \textit{T. Sauer}, Result. Math. 26, No. 1--2, 99--130 (1994; Zbl 0817.41014) Full Text: DOI
Kwon, K. H.; Lee, J. K.; Yoo, B. H. Characterizations of classical orthogonal polynomials. (English) Zbl 0783.33004 Result. Math. 24, No. 1-2, 119-128 (1993). Reviewer: M.G.de Bruin (Delft) MSC: 33C45 42C05 PDFBibTeX XMLCite \textit{K. H. Kwon} et al., Result. Math. 24, No. 1--2, 119--128 (1993; Zbl 0783.33004) Full Text: DOI
Langer, H.; Schneider, A. Some remarks about polynomials which are orthogonal with respect to an indefinite weight. (English) Zbl 0762.33005 Result. Math. 21, No. 1-2, 152-164 (1992). Reviewer: J.E.Bouillet (Buenos Aires) MSC: 33C45 42C15 47B50 34B99 PDFBibTeX XMLCite \textit{H. Langer} and \textit{A. Schneider}, Result. Math. 21, No. 1--2, 152--164 (1992; Zbl 0762.33005) Full Text: DOI
Cnops, J.; Delanghe, R. A generalised Christoffel-Darboux formula and reproducing kernels in spaces of polymonogenic and polyharmonic functions. (English) Zbl 0772.30041 Result. Math. 22, No. 3-4, 667-678 (1992). Reviewer: J.Cnops (Gent) MSC: 30G35 33C45 PDFBibTeX XMLCite \textit{J. Cnops} and \textit{R. Delanghe}, Result. Math. 22, No. 3--4, 667--678 (1992; Zbl 0772.30041) Full Text: DOI
Lesky, Peter Reelle orthogonale Polynomlösungen von komplexen Differenzengleichungen zweiter Ordnung. (Real orthogonal polynomial solutions of second order complex difference equations). (German) Zbl 0726.39001 Result. Math. 19, No. 1-2, 110-121 (1991). Reviewer: W.Bergweiler (Aachen) MSC: 39A10 42C05 33C45 PDFBibTeX XMLCite \textit{P. Lesky}, Result. Math. 19, No. 1--2, 110--121 (1991; Zbl 0726.39001) Full Text: DOI
Kim, Sung S.; Kwon, Kil H. Hyperfunctional weights for orthogonal polynomials. (English) Zbl 0734.33006 Result. Math. 18, No. 3-4, 273-281 (1990). Reviewer: A.Kaneko (Komaba, Meguro-ku) MSC: 33C45 46F15 PDFBibTeX XMLCite \textit{S. S. Kim} and \textit{K. H. Kwon}, Result. Math. 18, No. 3--4, 273--281 (1990; Zbl 0734.33006) Full Text: DOI
Görlich, E.; Markett, C. On approximation by Cesaro means of the Laguerre expansion and best approximation. (English) Zbl 0388.42008 Result. Math. 2, 124-150 (1979). MSC: 42C10 42A85 41A10 41A50 40G05 PDFBibTeX XMLCite \textit{E. Görlich} and \textit{C. Markett}, Result. Math. 2, 124--150 (1979; Zbl 0388.42008) Full Text: DOI
Mikolas, M. Orthogonal systems of characteristic functions and Hilbert space. (English) Zbl 0404.42014 Result. Math. 1, 195-206 (1978). MSC: 42C05 46C05 PDFBibTeX XMLCite \textit{M. Mikolas}, Result. Math. 1, 195--206 (1978; Zbl 0404.42014) Full Text: DOI