Wenchang CHU

10491

Trigonometric expressions for Gaussian $_2F_1$-series

The classical Gaussian $_2F_1$-series containing two free variables $\{x,y\}$ and two integer parameters $\{m,n\}$ are investigated by the linearization method. Several closed formulae are derived in terms of trigonometric functions. Some of them are lifted up, via a trigonometric integral approach, to identities of nonterminating $_3F_2$-series.
Keywords:

Classical hypergeometric series, Pfaff-Saalsch summation theorem, linearization method, Gould-Hsu inversions trigonometric integral approach,

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Turkish Journal of Mathematics-Cover
  • ISSN: 1300-0098
  • Yayın Aralığı: 6
  • Yayıncı: TÜBİTAK
Arşiv
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