본문 바로가기
KERD
논문KCI 등재

A reducibility of Srivastava's triple hypergeometric series F(3)[x, y, z]

2

조회

0

다운로드

1

인용

0

참고문헌

키워드

주제분류수학

초록

When certain general single or multiple hypergeometric func-tions were introduced, their reduction formulas have naturally been in-vestigated. Here, in this paper, we aim at presenting a very interest-ing reduction formula for the Srivastava’s triple hypergeometric func-tion F(3)[x, y, z] by applying the so-called Beta integral method to theHenrici’s triple product formula for hypergeometric series.

Abstract

When certain general single or multiple hypergeometric func-tions were introduced, their reduction formulas have naturally been in-vestigated. Here, in this paper, we aim at presenting a very interest-ing reduction formula for the Srivastava’s triple hypergeometric func-tion F(3)[x, y, z] by applying the so-called Beta integral method to theHenrici’s triple product formula for hypergeometric series.

참고문헌 (10)

  1. R. G. Buschman, "Series identities and reducibility of Kamp´e de F´eriet functions", Math. Proc. Cambridge Philos. Soc, 91(3), pp.435~440 (1982)
  2. C. C. Grosjean, "Some transformation and reduction formulas for hypergeometric series in several variables", J. Comput. Appl. Math, 37(1-3), pp.287~299 (1991)
  3. P. Henrici, "A triple product theorem for hypergeometric series", SIAM J. Math. Anal, 18(6), pp.1513~1518 (1987)
  4. P. W. Karlsson, "A note on Henrici’s triple product theorem", Proc. Amer. Math. Soc, 110(1), pp.85~88 (1990)
  5. C. Krattenthaler, "Automatic generation of hypergeometric identities by the beta integral method", J. Comput. Appl. Math, 160(1-2), pp.159~173 (2003)
  6. E. D. Rainville, "Special Functions, Macmillan Company, New York, 1960; Reprinted by Chelsea Publishing Company" (1971), Bronx
  7. H. M. Srivastava, "Generalized Neumann expansions involving hypergeometric functions", Proc. Cambridge Philos. Soc, 63, pp.425~429 (1967)
  8. H. M. Srivastava, "On the reducibility of Appell’s function F4", Canad. Math. Bull, 16, pp.295~298 (1973)
  9. H. M. Srivastava, "ZETA AND q-ZETA FUNCTIONS AND ASSOCIATED SERIES AND INTEGRALS" (2012), Elsevier
  10. H. M. Srivastava, "Multiple Gaussian Hypergeometric Series, Halsted Press (Ellis Horwood Limited, Chichester)" (1985), John Wiley and Sons

관련 논문AI추천

이 간행물의 다른 논문 (16건)