Some polynomials defined by generating functions and differential equations

It is well known that generating functions play an important role in theory of the classical orthogonal polynomials. In this paper, we deal with systems of polynomials defined by generating functions and the following problems for them. (A) Derive a differential equation that each polynomial satisfi...

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Bibliographic Details
Main Authors: Nobuyuki Dobashi, Erika Suzuki, Shigeru Watanabe
Format: Article
Language:English
Published: Taylor & Francis Group 2017-01-01
Series:Cogent Mathematics
Subjects:
Online Access:http://dx.doi.org/10.1080/23311835.2017.1278830