대한수학회논문집 (Communications of the Korean Mathematical Society)

  • 제22권4호
  • /
  • Pages.509-512
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  • 2007
  • /
  • 1225-1763(pISSN)
  • /
  • 2234-3024(eISSN)
대한수학회 (Korean Mathematical Society)
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A NOTE ON GAUSS'S SECOND SUMMATION THEOREM FOR THE SERIES 2F1(1/2)

  • 발행 : 2007.10.31
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초록

We aim at deriving Gauss's second summation theorem for the series $_2F_1(1/2)$ by using Euler's integral representation for $_2F_1$. It seems that this method of proof has not been tried.

키워드

참고문헌

  1. W. N. Bailey, Generalized Hypergeometric Series, Cambridge University Press, Cambridge, 1935
  2. H. M. Srivastava and J. Choi, Series Associated with the Zeta and Related Functions, Kluwer Academic Publishers, Dordrecht, Boston, and London, 2001

피인용 문헌

  1. NOTE ON THE CLASSICAL WATSON'S THEOREM FOR THE SERIES3F2 vol.35, pp.4, 2013, https://doi.org/10.5831/HMJ.2013.35.4.701
  2. A generalization of a formula due to Kummer† vol.22, pp.11, 2011, https://doi.org/10.1080/10652469.2011.588786
  3. Generalizations of classical summation theorems for the series2F1and3F2with applications vol.22, pp.11, 2011, https://doi.org/10.1080/10652469.2010.549487