Result: Some inequalities of hypergeometric function of three variables

Title:
Some inequalities of hypergeometric function of three variables
Authors:
Joshi, C. M., Bissu, S. K.
Publisher Information:
Vijnana Parishad of India c/o Dayanand Vedic Postgraduate College, Orai, Uttar Pradesh, India
Subject Terms:
Other hypergeometric functions and integrals in several variables, integral representations, triple hypergeometric functions
Document Type:
Academic journal Article
File Description:
application/xml
Access URL:
https://zbmath.org/38689
Accession Number:
edsair.c2b0b933574d..54596b064252a65bf13511c6405bed8d
Database:
OpenAIRE

Further Information

A technique developed by \textit{Y. L. Luke} [J. Approx. Theory 5, 41--65 (1972; Zbl 0225.33004)] is employed to deduce inequalities for the three triple hypergeometric functions \(H_A\), \(H_B\) and \(H_C\) first introduced by \textit{H. M. Srivastava} [Ganita 15, 97--108 (1964; Zbl 0163.08203)]. The method entails the use of Euler integral representations of these functions which involve the hypergeometric function \(_2F_1\) for which many sets of bounds are well known.