Contiguous Function Relations and an Integral Representation for Appell k-Series F_(1,k)
نویسندگان
چکیده
منابع مشابه
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 relations, and use the results to propose effective ways to compute contiguous relations. We also di...
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ژورنال
عنوان ژورنال: International Journal of Mathematical Research
سال: 2015
ISSN: 2311-7427,2306-2223
DOI: 10.18488/journal.24/2015.4.2/24.2.53.63