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On an extension formulas for the triple hypergeometric series $X_8$ due to Exton

Arjun K. Rathie|김용섭
대한수학회 (The Korean Mathematical Society)|2007.11|대한수학회보 (Bulletin of the KMS)|제44권 제4호|pp. 743-751

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Abstract

The aim of this article is to derive twenty ve transformationformulas in the form of a single result for the triple hypergeometric seriesX 8 introduced earlier by Exton. The results are derived with the helpof generalized Watson’s theorem obtained earlier by Lavoie et al. Aninteresting special cases are also pointed out.

참고문헌 (8)

  1. "Cambridge Tracts in Mathematics andMathematical Physics" (1964), Inc
  2. "Hypergeometric functions of thre variables" (1982)
  3. "Remark on two results by Padmanabham forExton’s triple hypergeometric seriesX 8", 27(4), pp.603~608 (2005)
  4. "Another method for Padmanabham’s transformation formula for Exton’s triplehypergeometric series X 8"
  5. "Generalizatons of Watson’s theorem on thesum of a 3F2" (1992)
  6. "Series Associated with the Zeta and Related Functions" (2001), Kluwer Academic Publishers, Dordrecht, Boston, and London
  7. "ON AN EXTENSION FORMULAS 751" (1985)
  8. "A Treatise on Generating Functions" (1984)

관련 논문AI추천

Another method for Padmanabham's transformation formula for Exton's triple hypergeometric series X_8김용섭, 최준상, Arjun Kumar Rathie대한수학회 · 대한수학회논문집2009 · 제24권 제4호Exton’s triple hypergeometric series associated with the Kampé de Fériet function김용섭, 이창현장전수학회 · Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집)2011 · 제14권 제4호Note on Srivastava's triple hypergeometric series $H_A$ and $H_C$최준상, Arjun K. Rathie, Yong Sup Kim대한수학회 · 대한수학회논문집2003 · 제18권 제3호Remarks on a summation formula for three-variables hypergeometric function X8 and certain hypergeometric transformations최준상, Arjun K. Rathie, Harshvardhan Harsh영남수학회 · East Asian Mathematical Journal2009 · 제25권 제4호A reducibility of Exton's triple hypergeometric series X₂최준상, Arjun K. Rathie대한수학회 · 대한수학회논문집2008 · 제23권 제2호On a new class of summation formulas involving generalized hypergeometric functionsArjun K. Rathie, Dongkyu Lim, Vidha Kulkarni, Yashoverdhan Vyas장전수학회 · Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집)2023 · 제26권 제3호

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