On Certain Triple Integral Relations Involving Elementary Functions

Mithilesh K Mishra; Rajeev Shrivastava; Anamika Dubey; Lakshmi N Mishra; SK Tiwari

Mithilesh K Mishra Department of Mathematics, Pt. S.N.S. Govt. P.G. College, Shahdol, Madhya Pradesh, India
Rajeev Shrivastava Department of Mathematics, Govt. I.G.H.S. Girls College, Shahdol Madhya Pradesh, India
Anamika Dubey Department of Mathematical Sciences, A. P. S. University, Rewa Madhya Pradesh, India
Lakshmi N Mishra Department of Mathematics, School of Advanced Sciences, Vellore Institute of Technology, Vellore, Tamil Nadu, India
SK Tiwari Department of Mathematics, Lukhdhirji Engineering College, Morbi, Gujarat, India

Keywords: Triple integral, Elementary function, Multivariable function, Gegenbauer polynomial, Bessel function

Abstract

The aim of this paper is to establish three triple integral relations involving elementary functions. A number of triple integrals can be deduced by proper specialization of the unknown functions f and g occurring in these relations. For the sake of illustration, one of our integral relations is applied to evaluate a general triple integral involving Asgar, Gautam and Goyal multivariable A- function.
Mathematics Subject Classification: 33C45, 33C60, 26D20

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