Some generalizations of Carlitz's theorem
From MaRDI portal
Publication:599979
DOI10.2140/pjm.1979.85.471zbMath0415.33006OpenAlexW1997464075MaRDI QIDQ599979
Publication date: 1979
Published in: Pacific Journal of Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.2140/pjm.1979.85.471
orthogonal polynomialsgenerating functions for Laguerre and Jacobi polynomialsKonhauser polynomialsLauricella's multiple hypergeometric function
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) Classical hypergeometric functions, ({}_2F_1) (33C05)
Related Items
Bilateral generating functions for the Chan–Chyan–Srivastava polynomials and the generalized Lauricella functions ⋮ Extension of certain types of generating relations ⋮ On a multivariable extension of the Humbert polynomials ⋮ Some extended Pochhammer symbols and their applications involving generalized hypergeometric polynomials ⋮ Multivariable Lagrange expansion and generalization of Carlitz-Srivastava mixed generating functions ⋮ The lagrange polynomials in several variables ⋮ Generating functions for a certain class of incomplete hypergeometric polynomials ⋮ Some convolution series identities ⋮ Some new generating functions for the Hermite polynomials ⋮ Some identities involving Appell polynomials ⋮ On a multivariable extension of the Lagrange–Hermite polynomials ⋮ Generalized polynomials, operational identities and their applications ⋮ Some polynomial systems associated with a certain family of differential operators