ON HUMBERT MATRIX FUNCTION Ψ1 (A, B; C, C’; Z, W) OF TWO COMPLEX VARIABLES UNDER DIFFERENTIAL OPERATOR

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RIDA S.Z.; ABUL DAHAB M.; SALEEM M.A.; MOHAMED M.T.

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Journal: INTERNATIONAL JOURNAL OF INDUSTRIAL MATHEMATICS Year:2010 | Volume:2 | Issue:3 Page(s): 167-179

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Title

ON HUMBERT MATRIX FUNCTION Ψ1 (A, B; C, C’; Z, W) OF TWO COMPLEX VARIABLES UNDER DIFFERENTIAL OPERATOR

Author(s)

RIDA S.Z. | ABUL DAHAB M. | SALEEM M.A. | MOHAMED M.T. | Issue Writer Certificate

Keywords

HUMBERT’S MATRIX FUNCTIONS

INTEGRAL FORM

CONTIGUOUS FUNCTION RELATIONS

HYPERGEO-METRIC MATRIX DIFFERENTIAL EQUATION

DIFFERENTIAL OPERATOR

Abstract

This paper deals with the study of the Humbert function with matrix arguments Y1 (A, B; C, C’; z, w).The convergent properties, an integral representation of Y1 (A, B; C, C’; z, w) and CONTIGUOUS FUNCTION RELATIONS are presented. Some results are obtained from operating the DIFFERENTIAL OPERATOR D on Humbert matrix function. Moreover a solution of certain partial differential equation is given.

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APA: Copy

RIDA, S.Z., ABUL DAHAB, M., SALEEM, M.A., & MOHAMED, M.T.. (2010). ON HUMBERT MATRIX FUNCTION Ψ₁ (A, B; C, C’; Z, W) OF TWO COMPLEX VARIABLES UNDER DIFFERENTIAL OPERATOR. INTERNATIONAL JOURNAL OF INDUSTRIAL MATHEMATICS, 2(3), 167-179. SID. https://sid.ir/paper/586245/en

Vancouver: Copy

RIDA S.Z., ABUL DAHAB M., SALEEM M.A., MOHAMED M.T.. ON HUMBERT MATRIX FUNCTION Ψ₁ (A, B; C, C’; Z, W) OF TWO COMPLEX VARIABLES UNDER DIFFERENTIAL OPERATOR. INTERNATIONAL JOURNAL OF INDUSTRIAL MATHEMATICS[Internet]. 2010;2(3):167-179. Available from: https://sid.ir/paper/586245/en

IEEE: Copy

S.Z. RIDA, M. ABUL DAHAB, M.A. SALEEM, and M.T. MOHAMED, “ON HUMBERT MATRIX FUNCTION Ψ₁ (A, B; C, C’; Z, W) OF TWO COMPLEX VARIABLES UNDER DIFFERENTIAL OPERATOR,” INTERNATIONAL JOURNAL OF INDUSTRIAL MATHEMATICS, vol. 2, no. 3, pp. 167–179, 2010, [Online]. Available: https://sid.ir/paper/586245/en

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