Bulletin of Pure & Applied Sciences- Mathematics and Statistics
  • Year: 2017
  • Volume: 36e
  • Issue: 1

On Exton's Triple Hypergeometric Functions of Matrix Arguments-I

Department of Mathematics, Municipal Post Graduate College, Mussoorie, Dehradun, (Uttarakhand), India, 248179

*Corresponding Author: Lalit Mohan Upadhyaya, Department of Mathematics, Municipal Post Graduate College, Mussoorie, Dehradun, (Uttarakhand), India, 248179, E-mail: lmupadhyaya@rediffmail.com

2010 AMS Mathematics Subject Classification: Primary: 33 C 70, 33 C 99, Secondary: 62 H, 44 A 05.

Abstract

In the present paper I have defined the Exton's χ1 and χ3 triple hypergeometric functions of matrix arguments and have established two integral representations for them (one for each) using the Mathai's matrix transform technique.

Keywords

Exton's functions, triple hypergeometric functions, matrix arguments, matrix-transform