International Journal of Mathematics Trends and Technology
Volume 52 | Number 2 | Year 2017 | Article Id. IJMTT-V52P517 | DOI : https://doi.org/10.14445/22315373/IJMTT-V52P517
In this paper, two multiple integral transformations of the multivariable I-function defined by Prathima and Nambisan [3] with general arguments have been established. Next two new multiple integrals for the multivariable I-function have been evaluated by employing the transformations. The integrals have further been generalized to give two another multiple integrals involving product of two multivariable I-functions in their integrands.
[1] Edwards J. A treatise of the integral calculus. Vol II, Chelsea Publ. Co. New York. 1954.
[2] Erdelyi A. et al. Higher trancentendal functions. Vol I. Mc Graw-Hill, New York. 1953.
[3] Prathima J. Nambisan V. and Kurumujji S.K. A Study of I-function of Several Complex Variables, International Journalof Engineering Mathematics Vol (2014), 2014 page 1-12.
[4] 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.
[5] Srivastava H.M. and Panda R. Some expansion theorems and generating relations for the H-function of several complex variables II. Comment. Math. Univ. St. Paul. 25 (1976), page.167-197.
F.A. Ayant, Vinod Gill, "On multiple integral transformations with the multivariable I-functions," International Journal of Mathematics Trends and Technology (IJMTT), vol. 52, no. 2, pp. 123-131, 2017. Crossref, https://doi.org/10.14445/22315373/IJMTT-V52P517
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