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International Journal of Mathematics Trends and Technology

Research Article | Open Access | Download PDF

Volume 56 | Number 3 | Year 2018 | Article Id. IJMTT-V56P528 | DOI : https://doi.org/10.14445/22315373/IJMTT-V56P528

Unified integrals about certain Gimel-function


Frédéric Ayant
Abstract

The object of the present paper is to obtain unified integrals involving the multivariable Gimel-function and a general polynomial having general arguments.

Keywords
Multivariable Gimel-function, multiple integral contours, general .polynomial, unified integral.
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] J.D.E Konhauser, Biorthogonal polynomials suggested by the Laguerre polynomials, pacific. J. Math. 21(1967), 303-314.
[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] H.M. Srivastava, A contour integral involving Fox’s H-function, Indian. J. Math. 14(1972), 1-6.
[7] H.M. Srivastava, K.C. Gupta and S.P. Goyal , the H-function of one and two variables with applications, South Asian Publishers, New Delhi, Madras (1982).
[8] 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.
[9] 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.
[10] H.M. Srivastava and N.P. Singh, The integration of certains products of the multivariable H-function with a general class of polynomials, Rend. Cir. Mat. Palermo. 32(2)(1983), 157-187.

Citation :

Frédéric Ayant, "Unified integrals about certain Gimel-function," International Journal of Mathematics Trends and Technology (IJMTT), vol. 56, no. 3, pp. 192-200, 2018. Crossref, https://doi.org/10.14445/22315373/IJMTT-V56P528

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