Extended hypergeometric and confluent hypergeornetric functions
Extended hypergeometric and confluent hypergeornetric functions
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DOI：
10.1016/j.amc.2003.09.017
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发表时间：
2004-12-06
影响因子：
4
通讯作者：
Paris, RB
中科院分区：
文献类型：
--
作者：
Chaudhry, MA;Qadir, A;Paris, RB
通过引入一个额外的参数，这被证明是有用的早期的beta函数的扩展，在这里被应用到扩展的超几何和合流超几何函数。由于后者的功能包含许多熟悉的特殊功能作为子情况下，这种扩展预计将被证明是有用的。本文的目的是研究这种扩张及其与超几何函数和合流超几何函数的关系。(C)2003年爱思唯尔公司All rights reserved.
An extension of the beta function by introducing an extra parameter, which proved to be useful earlier, is applied here to extend the hypergeometric and confluent hypergeometric functions. Since the latter functions contain many of the familiar special functions as sub-cases, this extension is expected to prove to be useful. The object of the present paper is to study this extension and its relationship with the hypergeometric and confluent hypergeometric functions. (C) 2003 Elsevier Inc. All rights reserved.