International Journal of Mathematics Trends and Technology
Volume 33 | Number 2 | Year 2016 | Article Id. IJMTT-V33P512 | DOI : https://doi.org/10.14445/22315373/IJMTT-V33P512
Recently, Raina and Srivastava [2] and Srivastava and Hussain [5] have provided closed-form expressions for a number of a general eulerian integrals involving multivariable H-functions. Motivated by these recent works, we aim at evaluating a general class of multiple eulerian integrals involving a multivariable Aleph-function with general arguments. These integrals will serve as a key formula from which one can deduce numerous useful integrals.
[1] Gradsteyn I.S. and Ryxhik I.M. Table of integrals, series and products: Academic press, New York 1980
[2] Raina R.K. And Srivastava H.M. Evaluation of a certain class of eulerian integrals. J. Phys. A. Math. Gen 26 (1993) p. 691-696
[3] Sharma C.K.and Ahmad S.S.: On the multivariable I-function. Acta ciencia Indica Math , 1994 vol 20,no2, p 113- 116.
[4] Sharma K. On the integral representation and applications of the generalized function of two variables , International Journal of Mathematical Engineering and Sciences , Vol 3 , issue1 ( 2014 ) , page1-13.
[5] Srivastava H.M. and Hussain M.A. Fractional integration of the multivariable H-function . Comp. Math.Appl. 30(9) 1995, p.73-85
[6] 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), p.119-137.
F.Y. Ayant, "On multiple eulerian integral involving the multivariable Aleph-function," International Journal of Mathematics Trends and Technology (IJMTT), vol. 33, no. 2, pp. 84-94, 2016. Crossref, https://doi.org/10.14445/22315373/IJMTT-V33P512
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