Euler’s Type Integrals Results for Matrix Argument involving Zonal Polynomial
Dr. P.K. Mishra1, Dr. Abhijit Kulshreshtha2,* and Dr. Vaibhav Jain3
1Department of Mathematics, Sobhasaria Group of Institutions, Sikar, Rajasthan India.
2,*Department of Physics, JIET Group of Institutions, Jodhpur, Rajasthan, India.
*E-mail:- abhijitjecrc@yahoo.com
3HOD, Department of Physics, DAV (PG) College, Bulandshahr, UP, India
.
In this paper some Euler’s type integrals of generalized hypergeometric function of symmetric positive definite matrix associated with zonal polynomial are discussed, then established new result in particular cases and compare with Euler’s type integral of scalar case. The integrals of Euler’s type have a wide range of applications in the theory of applicable mathematics including statistical distributions. Few known and new results are discussed as particular cases.
2010 Mathematics Subject Classifications: 33C20, 33C45, 33E20, 33C60.
Keywords: Euler’s type integral, Matrix arguments, Zonal polynomials, Hypergeometric function.
