On Partial Derivatives Of The Incomplete Beta Function

Abstract

The incomplete beta function B(x) (a, b) is defined for a, b > 0 and 0 < x < 1 and its definition was extended to negative integer values of a and b in [E. Ozcag, I. Ege, H. Gurcay, An extension of the incomplete beta function for negative integers, J. Math. Anal. Appl., in press (doi:10.1016/j.jmaa.2007.05.075)]. In this work we define the partial derivatives of the incomplete beta function B(x) (a, b) for negative integer values of a and b. (C) 2007 Elsevier Ltd. All rights reserved.