LINEARLY INDEPENDENT SOLUTIONS FOR THE HYPERGEOMETRIC EXTON FUNCTIONS X_{1} AND X_{2}

- 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 X_{1} AND X_{2}

Choi, June-Sang; Hasanov, Anvar; Turaev, Mamasali;

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 and among his twenty functions to show how to find the linearly independent solutions of partial differential equations satisfied by these functions and .

Keywords

Exton hypergeometric functions;System of partial differential equations;Linearly independent solutions;Global solution of differential equation;

Language

English

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