LINEARLY INDEPENDENT SOLUTIONS FOR THE HYPERGEOMETRIC EXTON FUNCTIONS X1 AND X2

• Journal title : Honam Mathematical Journal
• Volume 33, Issue 2,  2011, pp.223-229
• Publisher : The Honam Mathematical Society
• DOI : 10.5831/HMJ.2011.33.2.223
Title & Authors
LINEARLY INDEPENDENT SOLUTIONS FOR THE HYPERGEOMETRIC EXTON FUNCTIONS X1 AND X2
Choi, June-Sang; Hasanov, Anvar; Turaev, Mamasali;

Abstract
In investigation of boundary-value problems for certain partial differential equations arising in applied mathematics, we often need to study the solution of system of partial differential equations satisfied by hypergeometric functions and find explicit linearly independent solutions for the system. Here we choose the Exton functions $\small{X_1}$ and $\small{X_2}$ among his twenty functions to show how to find the linearly independent solutions of partial differential equations satisfied by these functions $\small{X_1}$ and $\small{X_2}$.
Keywords
Exton hypergeometric functions;System of partial differential equations;Linearly independent solutions;Global solution of differential equation;
Language
English
Cited by
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