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International Journal of Mathematics Trends and Technology

Research Article | Open Access | Download PDF

Volume 56 | Number 2 | Year 2018 | Article Id. IJMTT-V56P520 | DOI : https://doi.org/10.14445/22315373/IJMTT-V56P520

Double series relations involving multivariable Gimel-function


Frédéric Ayant
Abstract

Paliwal [5] given four double series relations about the A-function of variables, see Gautam and Goyal [3,4]. In this paper, we have obtained some doubles series relations concerning the generalized multivariable Gimel-function defined here.

Keywords
Generalized multivariable Gimel-function, multiple integral contours, double series relations.
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] G.P. Gautam and A. N. Goyal, On unification of generalized function representable by Mellin-Barnes contour integrals, Accepted for publication in Revista Tucunam (1980).
[4] G.P. Gautam and A. N. Goyal, On unification of integrals and expansions, Vijnana Parishad Anusandhan Patrika, 24(1981), 265-277.
[5] Y.C. Paliwal, On the double series relations, Acta. Ciencia. Indica. Math. 12(2), 93(1986), 93-99.
[6] Y.N. Prasad, Multivariable I-function , Vijnana Parishad Anusandhan Patrika 29 (1986) , 231-237.
[7] 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.
[8] B. L. Sharma, Some summation theorems for double series. Proc. Nat. Acad. Sci. India. Sect A, 46(1976), 185-189.
[9] 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.
[10] 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, "Double series relations involving multivariable Gimel-function," International Journal of Mathematics Trends and Technology (IJMTT), vol. 56, no. 2, pp. 141-147, 2018. Crossref, https://doi.org/10.14445/22315373/IJMTT-V56P520

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