An integral of hypergeometric type
Published online by Cambridge University Press: 24 October 2008
Extract
In a recent paper (2) I gave some integrals which represented general transformations of hypergeometric series of both ordinary and basic types. In this paper I give the most general form of this kind of integral, from which all the previously known general basic transformations can be deduced.
In the usual notation for basic series,
where x may be a function of n, for example,
and Π is written for ‘Idem (a; b)' means that the expression immediately preceding is to be repeated with b written in place of a and a written in place of b.
- Type
- Research Article
- Information
- Mathematical Proceedings of the Cambridge Philosophical Society , Volume 48 , Issue 4 , October 1952 , pp. 578 - 582
- Copyright
- Copyright © Cambridge Philosophical Society 1952
References
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