Some Transformations of Generalized Hypergeometric Series
Some Transformations of Generalized Hypergeometric Series
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DOI：
10.1112/plms/s2-26.1.257
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发表时间：
--
影响因子：
1.8
通讯作者：
F. Whipple
中科院分区：
文献类型：
--
作者：
F. Whipple
近年来，对广义超几何级数a，B，c，d;+ 1“fa，B，c，d;+ 1”I4 dL 1 + ab，1+ a-c，1+ a-dJ'的一些性质进行了研究.在这些级数中，被称为”平稳”级数 *，参数成对出现，每一对具有相同的和;这些对中的第一对由明确显示的a和单位组成，单位可以被认为是下面一行的主要参数，级数的通项是
In recent papers some of the properties of generalized hypergeometric series, such as a, b, c, d;+ 1 „f a, b, c, d;+ 1" I4 dLl+ ab, 1+ a—c, 1+ a—dJ'have been investigated. In these series, to which the name" well-poised" series has been given*, the parameters occur in pairs, each pair with the same sum; the first of these pairs consists of the a, which is shown explicitly, and unity, which may be regarded as the leading parameter for the lower row, the general term of the series being