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Ars Combinatoria

  • Research article

A Transformation for The Al-Salam-Carlitz Polynomials

Mingjin Wang1
1DEPARTMENT OF APPLIED MATHEMATICS, CHANGZHOU UNIVERSITY CHANGZHOU, JIANGSU, 213164, P.R CHINA
  • Published: 31/10/2013

Abstract

In this paper, we use the \(q\)-difference operator and the Andrews-Askey integral to give a transformation for the Al-Salam-Carlitz polynomials. As applications, we obtain an expansion of the Carlitz identity and some other identities for Al-Salam-Carlitz
polynomials .

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Citation
Mingjin Wang. A Transformation for The Al-Salam-Carlitz Polynomials[J], Ars Combinatoria, Volume 112. 411-418. .