On Certain Triple Integral Relations Involving Elementary Functions

  • 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


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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