Title of article :
On Humbert Matrix Function $\Psi_{1}(A,B;C,Cʹʹ;z,w)$ of Two Complex Variables under Differential Operator
Author/Authors :
Rida، S. Z. نويسنده Department of Mathematics, Faculty of Science, South Valley University, Qena 83523, Egypt , , Abul-Dahab، M نويسنده Department of Mathematics, Faculty of Science, South Valley University, Qena 83523, Egypt , , Saleem، M.A نويسنده Department of Mathematics, Faculty of Science, Sohag University, Sohag 82524, Egypt , , Mohamed، M.T نويسنده Department of Mathematics and Science, Faculty of Education (New Valley), Assiut University,Assiut 71516, Egypt ,
Abstract :
This paper deals with the study of the Humbert function with matrix
arguments $\Psi_{1}(A,B;C,Cʹ;z,w)$.\\ The convergent properties, an
integral representation of $\Psi_{1}(A,B;C,Cʹ;z,w)$ 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.
