Askey–Wilson Operator On Entire Functions Of Exponential Type

Keywords

Askey-Wilson operator; Boas formula; Entire function of exponential type; Summation formula

Abstract

In this paper, we first establish a series representation formula for the Askey–Wilson operator applied on entire functions of exponential type and then demonstrate its power in discovering summation formulas, some known and some new.

Publication Date

1-1-2018

Publication Title

Proceedings of the American Mathematical Society

Volume

146

Issue

10

Number of Pages

4283-4292

Document Type

Article

Personal Identifier

scopus

DOI Link

https://doi.org/10.1090/proc/14080

Socpus ID

85051378497 (Scopus)

Source API URL

https://api.elsevier.com/content/abstract/scopus_id/85051378497

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