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Mathematics

No. 4 (2022): Scientific journal of the Fergana State University

INTEGRAL REPRESENTATIONS AND THE SYSTEM OF DIFFERENTIAL EQUATION OF HYPERGEOMETRIC TYPE IN PARTIAL DERIVATIVES OF THE FOURTH ORDER FOR A FUNCTION

Submitted
July 12, 2023
Published
2022-08-25

Abstract

This article studies the properties of the Kampe de Feriet function  of two fourth-order arguments. Integral representations and a system of differential equations in partial derivatives of hypergeometric type, which is satisfied by the indicated function, are proved.

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