Two finite hypergeometric sequences of discrete orthogonal polynomials
DOI10.1080/10236198.2018.1494166zbMath1407.42015OpenAlexW2885849891MaRDI QIDQ4689891
Wolfram Koepf, Mohammad Masjed-Jamei
Publication date: 22 October 2018
Published in: Journal of Difference Equations and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/10236198.2018.1494166
momentshypergeometric seriesorthogonal polynomials of a discrete variablenorm square valueextended Sturm-Liouville theorem for symmetric functions of a discrete variable
Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis (42C05) Other functions coming from differential, difference and integral equations (33E30) Generalized hypergeometric series, ({}_pF_q) (33C20) Other special orthogonal polynomials and functions (33C47)
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- A basic class of symmetric orthogonal polynomials using the extended Sturm-Liouville theorem for symmetric functions
- A basic class of symmetric orthogonal polynomials of a discrete variable
- A generalization of Fourier trigonometric series
- Hypergeometric summation. An algorithmic approach to summation and special function identities
- A symmetric generalization of Sturm–Liouville problems in discrete spaces
- On incomplete symmetric orthogonal polynomials of Laguerre type
- On incomplete symmetric orthogonal polynomials of Jacobi type
- Hypergeometric Orthogonal Polynomials and Their q-Analogues
- Second-order Sturm-Liouville difference equations and orthogonal polynomials
- An extension of Pochhammer’s symbol and its application to hypergeometric functions