Department of Mathematics, Municipal Post Graduate College, Mussoorie, Dehradun, Uttarakhand, India, 248179. Email address: lmupadhyaya@rediffmail.com
2010 AMS Mathematics Subject Classification: Primary: 33 C 65, 33 C 99. Secondary: 60 E, 62 H, 44 A 05.
In the present paper I have defined the Horn's G1 and H2 double hypergeometric functions of matrix arguments with real symmetric strictly negative definite and real symmetric strictly positive definite matrices as the arguments and have established integral representations for them using the Mathai's matrix transform technique.
Horn's functions, matrix arguments, matrix -transform
