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Evaluations of certain Euler type integrals
DOI:10.1016/j.amc.2006.12.073.png)
摘要
En 中文
In this paper, we obtain the evaluations of certain Euler type integrals. Further, we establish a theorem on extended beta function and apply this to obtain evaluations of some integrals in terms of extended beta function B(alpha, beta; A). Furthermore, we derive a number of new results as applications of these evaluations. We extend also some results of this paper to the multi-variable case. (c) 2007 Elsevier Inc. All rights reserved.
Keyword:
euler type integrals
extended beta function
generalized hypergeometric series
generating function

