OICC Press International Journal of Mathematical Modelling & Computations 2228-6233 15 1 2025 01 30 New Extended Beta Function Definedby Product Of Two Wright Functions 21 27 10.71932/ijm.2025.1081360 EN Maisoon Kulib Department of Mathematics, Faculty of Engineering, Aden University, Aden, Yemen. Ahmed Al-Gonah Department of Mathematics, Faculty of Science, Aden University, Aden, Yemen. Journal Article 2025 01 30 This paper aims to introduce a new extension of extended 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.‎