International Journal of Mathematics Trends and Technology
Volume 55 | Number 2 | Year 2018 | Article Id. IJMTT-V55P513 | DOI : https://doi.org/10.14445/22315373/IJMTT-V55P513
In this paper, first we obtain a finite integral involving the product of the H-function of two variables and the multivariable A-function defined by Gautam et al [2]. Next, with the application of one of its special cases and lemma due to Srivastava et al [7] we obtain two interesting and general multiple integral relations involving the multivariable A-function, Fox's H-function and two arbitrary functions f and g. These integral relations are quite general in nature. Again by suitably specializing the functions f anf g occuring in the main integral relations, we have also evaluated two multiple integrals which are new and quite general in nature. We shall the particular case concerning the multivariable H-function defined by Srivastava et al [8,9].
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[8] Srivastava H.M. and Panda R. Some expansion theorems and generating relations for the H-function of several complex variables. Comment. Math. Univ. St. Paul. 24(1975), page.119-137.
[9] Srivastava H.M. and Panda R. Some bilateral generating function for a class of generalized hypergeometric polynomials. J Reine Angew Math 283/284, 1976, page 265-274.
F.Y.Ayant, "On Multiple Integral Relations Involving the Multivariable A-Function," International Journal of Mathematics Trends and Technology (IJMTT), vol. 55, no. 2, pp. 101-110, 2018. Crossref, https://doi.org/10.14445/22315373/IJMTT-V55P513
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