Title of article
Yet another basic analogue of Grafʹs addition formula
Author/Authors
Koelink، نويسنده , , H.T.، نويسنده ,
Issue Information
روزنامه با شماره پیاپی سال 1996
Pages
12
From page
209
To page
220
Abstract
An identity involving basic Bessel functions and Al-Salam-Chihara polynomials is proved for which we recover Grafʹs addition formula for the Bessel function as the base q tends to 1. The corresponding product formula is derived. Some known identities for Jacksonʹs q-Bessel functions are obtained as limiting cases. As special cases we prove identities for q-Charlier polynomials.
Keywords
Al-Salam-Chihara polynomials , q-Charlier polynomials , q-Bessel functions , Product formula , Addition formula
Journal title
Journal of Computational and Applied Mathematics
Serial Year
1996
Journal title
Journal of Computational and Applied Mathematics
Record number
1546986
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