ON TWO IDENTITIES FOR I-FUNCTION

Yıl 2020, Cilt: 10 Sayı: 2, 428 - 433, 01.03.2020

V. D'souza S. Kumari K.

Öz

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.

Anahtar Kelimeler

I-function, Mellin-Barnes integral

Kaynakça

• 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.