Open AccessOn a General Class of Multiple Eulerian Integrals with Multivariable I-Functions
Author(s) -
Frédéric Ayant
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/gjsfrfvol18is1pg1
Subject(s) - multivariable calculus , eulerian path , mathematics , class (philosophy) , multiple integral , function (biology) , product (mathematics) , pure mathematics , calculus (dental) , mathematical analysis , computer science , geometry , medicine , dentistry , lagrangian , control engineering , artificial intelligence , evolutionary biology , engineering , biology
Recently, Raina and Srivastava and Srivastava and Hussainhave provided closed-form expressions for a number of a Eulerian integral involving multivariable H-functions. Motivated by these recent works, we aim at evaluating a general class of multiple Eulerian integrals concerning the product of two multivariable I-functions defined by Prathima et al. [6], a class of multivariable polynomials and the spheroidal function. These integrals will serve as a capital formula from which one can deduce numerous integrals.