Open AccessUnified Fractional Derivative Formulae for the Multivariable Aleph-Function
Author(s) -
Fy. Ay. Ant
Publication year - 2018
Publication title -
global journal of science frontier research
Language(s) - English
Resource type - Journals
eISSN - 2249-4626
pISSN - 0975-5896
DOI - 10.34257/gjsfrfvol18is3pg11
Subject(s) - multivariable calculus , mathematics , aleph , hypergeometric function , function (biology) , product (mathematics) , series (stratigraphy) , sequence (biology) , class (philosophy) , pure mathematics , physics , computer science , particle physics , control engineering , evolutionary biology , engineering , biology , paleontology , geometry , genetics , artificial intelligence
In this paper, we first evaluate unified finite multiple integrals whose integrand involves the product of the generalized hypergeometric function, general class of multivariable polynomials , the series expansion of multivariable A-function, a sequence of functions and the multivariable I-function. The arguments occurring in the integrand involve the product of factors of the form while that of , occurring herein involves a finite series of such coefficients. On account of the most general nature of the functions happening in the integrand of our integral, a large number of new and known integrals can be obtained from it merely by specializing the functions and parameters involved here. At the end, we shall see two corollaries.