International Journal of Mathematics Trends and Technology
Volume 57 | Number 3 | Year 2018 | Article Id. IJMTT-V57P527 | DOI : https://doi.org/10.14445/22315373/IJMTT-V57P527
The aim of the present paper is to evaluate two finite integrals involving the product of trigonometric function and the multivariable Gimel-function. These integrals have been utilized to derive the expansion formula for generalized multivariable Gimel-function in series involving trigonometric function.
[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] H.S. Carslaw, Introduction to the theory of Fourier’s series and integrals, Dover Publications Inc. New York (1954).
[4] R.V. Churchill, Fourier series and boundary value problem, McGraw-Hill, New York (1941).
[5] Y.L. Luke, Integral of Bessel functions, McGraw-Hill, New York (1962).
[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] 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.
Frédéric Ayant, "Some Expansions for a Multivariable Gimel-Function," International Journal of Mathematics Trends and Technology (IJMTT), vol. 57, no. 3, pp. 194-202, 2018. Crossref, https://doi.org/10.14445/22315373/IJMTT-V57P527
PDF 
Abstract 
Keywords 
References 
Citation