Title of article
A recurring -integral formula
Author/Authors
Wang، نويسنده , , Mingjin، نويسنده ,
Issue Information
روزنامه با شماره پیاپی سال 2010
Pages
5
From page
256
To page
260
Abstract
In this paper, we use the q -Chu–Vandermonde formula to derive a recurring q -integral formula. Some applications of the recurring q -integral formula are also given, which include deriving the 3 ϕ 2 representation of the Al-Salam–Carlitz polynomials and the extension of the terminating Sears’ 3 ϕ 2 transformation formula.
Keywords
The recurring q -integral formula , The Andrews–Askey integral , The q -Chu–Vandermonde formula , The r + 1 ? r basic hypergeometric series , The terminating Sears’ 3 ? 2 transformation fo , The Al-Salam–Carlitz polynomials
Journal title
Applied Mathematics Letters
Serial Year
2010
Journal title
Applied Mathematics Letters
Record number
1526616
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