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International Journal of Mathematics Trends and Technology

Research Article | Open Access | Download PDF

Volume 59 | Number 4 | Year 2018 | Article Id. IJMTT-V59P537 | DOI : https://doi.org/10.14445/22315373/IJMTT-V59P537

Some Finite Series for Generalized Multivariable Gimel-Function


Frédéric Ayant
Abstract

In this paper some finite series of generalized multivariable Gimel-function have been established. Since the finite series of special functions can be employed to obtain identities, recurrence relations and transformations of the special functions, therefore such series occupy a prominent place in the literature of special functions.

Keywords
Multivariable Gimel-function, multiple integral contours, finite series.
References

[1] F. Ayant, An integral associated with the Aleph-functions of several variables. International Journal of Mathematics Trends and Technology (IJMTT), 31(3) (2016), 142-154.
[2] B.L.J. Braaksma, Asymptotics expansions and analytic continuations for a class of Barnes-integrals, Compositio Math. 15 (1962-1964), 239-341.
[3] T.W. Chaundy Quart. J. Math (Oxford), 9 (2) (1958) p. 265.
[4] Y.N. Prasad, Multivariable I-function , Vijnana Parishad Anusandhan Patrika 29 (1986) , 231-237.
[5] J. Prathima, V. Nambisan and S.K. Kurumujji, A Study of I-function of Several Complex Variables, International Journal of Engineering Mathematics Vol (2014), 1-12.
[6] E.D. Rainville, Special functions; McMillan and Co. Ltd, New York, 1960 p.32.
[7] H.M. Srivastava and R. Panda, Some expansion theorems and generating relations for the H-function of several complex variables. Comment. Math. Univ. St. Paul. 24 (1975),119-137.
[8] H.M. Srivastava and R. Panda, Some expansion theorems and generating relations for the H-function of several complex variables II. Comment. Math. Univ. St. Paul. 25 (1976), 167-197.

Citation :

Frédéric Ayant, "Some Finite Series for Generalized Multivariable Gimel-Function," International Journal of Mathematics Trends and Technology (IJMTT), vol. 59, no. 4, pp. 265-273, 2018. Crossref, https://doi.org/10.14445/22315373/IJMTT-V59P537

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