ANOTHER METHOD FOR A KUMMER-TYPE TRANSFORMATION FOR A 2F2 HYPERGEOMETRIC FUNCTION

Title & Authors
ANOTHER METHOD FOR A KUMMER-TYPE TRANSFORMATION FOR A 2F2 HYPERGEOMETRIC FUNCTION
Choi, June-Sang; Rathie, Arjun K.;

Abstract
Very recently, by employing an addition theorem for the con-fluent hypergeometric function, Paris has obtained a Kummer-type trans-formation for a $\small{_2F_2(x)}$ hypergeometric function with general parameters in the form of a sum of $\small{_2F_2(-x)}$ functions. The aim of this note is to derive his result without using the addition theorem.
Keywords
generalized hypergeometric function;Kummer`s first theorem for $\small{_1F_1}$;Kummer-type transformation;addition theorem for $\small{_1F_1}$;
Language
English
Cited by
References
1.
R. B. Paris, A Kummer-type transformation for $\alpha_{2}F_{2}$ hypergeometric function, J. Comput. Appl. Math. 173 (2005), 379-382

2.
L. J. Slater, Confluent Hypergeometric Functions, Cambridge University Press, Cambridge, 1960

3.
L. J. Slater, neralized Hypergeometric Functions, Cambridge University Press, Cambridge, 1966