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ON TWO IDENTITIES FOR I-FUNCTION

Year 2020, Volume: 10 Issue: 2, 428 - 433, 01.03.2020

Abstract

In this research note, two interesting identities involving I-function of one variable introduced by Rathie have been derived. These results enable us to split a particular I-function into the sum of four I-functions. A few new as well as known special cases of our main results have been obtained.

References

  • Braaksma, B. L. J, (1964), Asymptotic expansions and analytic continuations for a class of Barnes integrals, Compositio Math. 15, pp. 239-341
  • Fox, Charles, (1961), The G and H -functions as symmetrical Fourier kernels, Trans. Amer. Math. Soc. 98, pp. 395 - 429.
  • Rathie, Arjun K., (1997), A new generalization of generalized hypergeometric functions, Le Matem- atiche Vol. LII . Fasc. II, pp. 297 - 310.
  • Rathie, Arjun K., (2017), On an identity for H-function, arXiv:1703.06747v1 [math.CA]
  • Rathie, A. K., (1981), Identities for H-function, Vijnana Parishad Anusandhan Patrika, 24, pp. 77-79.
  • Rathie, A. K., Luan L. C. S. M. and Rathie, P. N. (2017), On a new identity for the H-function with ap- plications to the summation of hypergeometric series, Turk J Math, 42, pp.924-935, doi:10.3906/mat- 1705-48.
Year 2020, Volume: 10 Issue: 2, 428 - 433, 01.03.2020

Abstract

References

  • Braaksma, B. L. J, (1964), Asymptotic expansions and analytic continuations for a class of Barnes integrals, Compositio Math. 15, pp. 239-341
  • Fox, Charles, (1961), The G and H -functions as symmetrical Fourier kernels, Trans. Amer. Math. Soc. 98, pp. 395 - 429.
  • Rathie, Arjun K., (1997), A new generalization of generalized hypergeometric functions, Le Matem- atiche Vol. LII . Fasc. II, pp. 297 - 310.
  • Rathie, Arjun K., (2017), On an identity for H-function, arXiv:1703.06747v1 [math.CA]
  • Rathie, A. K., (1981), Identities for H-function, Vijnana Parishad Anusandhan Patrika, 24, pp. 77-79.
  • Rathie, A. K., Luan L. C. S. M. and Rathie, P. N. (2017), On a new identity for the H-function with ap- plications to the summation of hypergeometric series, Turk J Math, 42, pp.924-935, doi:10.3906/mat- 1705-48.
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Details

Primary Language English
Journal Section Research Article
Authors

V. D'souza This is me

S. Kumari K. This is me

Publication Date March 1, 2020
Published in Issue Year 2020 Volume: 10 Issue: 2

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