NEW EXTENDED BETA FUNCTION DEFINEDBY PRODUCT OF TWO WRIGHT FUNCTIONS

Subject Areas : International Journal of Mathematical Modelling & Computations

1 - Department of Mathematics, Faculty of Engineering, Aden University, Aden, Yemen
2 - Department of Mathematics, Faculty of Science, Aden University, Aden, Yemen

Received: 2024-06-27 Accepted : 2024-09-24 Published : 2024-09-30

Keywords: Extended Beta function, Wright function, integral representations, summation formula, Tricomi function.,

Abstract :

This paper aims to introduce a new extension of extended(p_1,p_2 )-Beta function by product of two Wright functions. Various properties of this extended function are investigated such as integral representations, summation formulas and Mellin transform.

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NEW EXTENDED BETA FUNCTION DEFINEDBY PRODUCT OF TWO WRIGHT FUNCTIONS