Some polynomial systems associated with a certain family of differential operators

DOI10.1006/jmaa.2002.7922zbMath1016.33008OpenAlexW1974440492MaRDI QIDQ1604247

Chuan Jen Chyan, Kung-Yu Chen, Hari M. Srivastava

Publication date: 4 July 2002

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jmaa.2002.7922

zbMATH Keywords

Rodrigues formuladifferential operatorslinear bilinear and mixed multilateral generating functions

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45)

Related Items

A new summation identity for the Srivastava-Singhal polynomials, Generalized equi-statistical convergence of positive linear operators and associated approximation theorems, Unnamed Item, Some properties of generalized multiple Hermite polynomials

Cites Work

• Some generalizations of Carlitz's theorem
• Some generalizations of the Euler-Knopp transformation
• Some biorthogonal polynomials suggested by the Laguerre polynomials
• Some families of generating functions associated with the Stirling numbers of the second kind
• Some general families of generating functions for the Laguerre polynomials
• Biorthogonal polynomials suggested by the Laguerre polynomials
• A class of polynomials defined by generalized Rodrigues' formula
• Some Families of Series Transformations Related to the Euler-Knopp Transformation
• The Confluent Hypergeometric Function
• Generating Functions for Bessel and Related Polynomials
• A class of bilateral generating functions for certain classical polynomials
• Some \(q\)-genrating functions and associated generalized hypergeometric polynomials
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