Title of article :
A recurring -integral formula
Author/Authors :
Wang، نويسنده , , Mingjin، نويسنده ,
Issue Information :
روزنامه با شماره پیاپی سال 2010
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
Journal title :
Applied Mathematics Letters
