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-integral representation of the Al-Salam–Carlitz polynomials

✍ Scribed by Mingjin Wang

Publisher
Elsevier Science
Year
2009
Tongue
English
Weight
256 KB
Volume
22
Category
Article
ISSN
0893-9659

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✦ Synopsis

The Hermite polynomials The Andrews-Askey integral The Leibniz rule for the q-difference operator a b s t r a c t

We use the Andrews-Askey integral and the Leibniz rule for the q-difference operator to give the q-integral representation of the Al-Salam-Carlitz polynomials, which includes the q-integral representation of the Rogers-Szegö polynomials and the q-integral representation of the q-Hermite polynomials as special cases.

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