Some new summation formulae for the generalised hypergeometric function of higher order

The odd and even terms of higher order hypergeometric series that leads to new summation formulas with arguments of 1 and -1 is considered. The Pochhammer symbol is the generalized hypergeometric function that occurs in many theoretical applications such as mathematics, theoretical physics, engineer...

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Vydáno v:Journal of computational and applied mathematics Ročník 79; číslo 2; s. 183 - 187
Hlavní autor: Exton, Harold
Médium: Journal Article
Jazyk:angličtina
Vydáno: Amsterdam Elsevier B.V 17.03.1997
Elsevier
Témata:
Exact sciences and technology
Higher-order
Hypergeometric
Mathematical analysis
Mathematics
Sciences and techniques of general use
Special functions
Higher-order
Hypergeometric
33C20
Hypergeometric function
Functions
Hypergeometric series
Summation
Generalized function
ISSN:0377-0427, 1879-1778
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Popis
Shrnutí:The odd and even terms of higher order hypergeometric series that leads to new summation formulas with arguments of 1 and -1 is considered. The Pochhammer symbol is the generalized hypergeometric function that occurs in many theoretical applications such as mathematics, theoretical physics, engineering and statistics. The process of resolving hypergeometric series into odd and even parts to obtain results depend on the technique itself. The value of parameters that do not lead to results are excluded and indices of summation are taken to run over all of the non-negative integers.
Bibliografie:ObjectType-Article-2
SourceType-Scholarly Journals-1
ObjectType-Feature-1
content type line 23
ISSN:0377-0427
1879-1778
DOI:10.1016/S0377-0427(96)00154-9