Contiguous relations of hypergeometric series

The 15 Gauss contiguous relations for 2F1 hypergeometric series imply that any three 2F1 series whose corresponding parameters differ by integers are linearly related (over the field of rational functions in the parameters). We prove several properties of coefficients of these general contiguous rel...

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Veröffentlicht in:	Journal of computational and applied mathematics Jg. 153; H. 1-2; S. 507 - 519
1. Verfasser:	VIDUNAS, Raimundas
Format:	Journal Article Tagungsbericht
Sprache:	Englisch
Veröffentlicht:	Amsterdam Elsevier B.V 01.04.2003 Elsevier
Schlagworte:	Contiguous relations Exact sciences and technology Hypergeometric function Mathematical analysis Mathematics Sciences and techniques of general use Special functions Hypergeometric function Contiguous relations Hypergeometric series Contiguous relation Applied mathematics Rational function
ISSN:	0377-0427, 1879-1778
Online-Zugang:	Volltext
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