Acta mathematica scientia, 2014-05, Vol.34 (3), p.619-628
2014
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Details
- Autor(en) / Beteiligte
- Titel
- APPLICATIONS OF HYPERGEOMETRIC SUMMATION THEOREMS OF KUMMER AND DIXON INVOLVING DOUBLE SERIES
- Ist Teil von
- Acta mathematica scientia, 2014-05, Vol.34 (3), p.619-628
- Ort / Verlag
- Elsevier Ltd
- Erscheinungsjahr
- 2014
- Quelle
- Alma/SFX Local Collection
- Beschreibungen/Notizen
- Using series iteration techniques identities and apply each of these identities in we derive a number of general double series order to deduce several hypergeometric reduction formulas involving the Srivastava-Daoust double hypergeometric function. The results presented in this article are based essentially upon the hypergeometric summation theorems of Kummer and Dixon.
- Sprache
- Englisch
- Identifikatoren
- ISSN: 0252-9602eISSN: 1572-9087DOI: 10.1016/S0252-9602(14)60034-5Titel-ID: cdi_wanfang_journals_sxwlxb_e201403003
- Format
- –
- Schlagworte
- 33C20, 33C70, Dixon's theorem, Gamma function, Gauss-Legendre multiplication formula, Hypergeometric functions, hypergeometric reduction formulas, Iterative methods, Kummer's theorem, Legendre's duplication formula, Mathematical analysis, Pochhammer's symbol, Reduction, series identities, Srivastava-Daoust double and multiple hypergeometric functions, Theorems, 求和定理, 超几何函数, 迭代技术, 重级数