On partial derivatives of the incomplete beta function

ÖZÇAĞ E., Ege I., GÜRÇAY H., Jolevska-Tuneska B.

APPLIED MATHEMATICS LETTERS, vol.21, no.7, pp.675-681, 2008 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 21 Issue: 7
  • Publication Date: 2008
  • Doi Number: 10.1016/j.aml.2007.07.020
  • Journal Name: APPLIED MATHEMATICS LETTERS
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.675-681
  • Hacettepe University Affiliated: Yes

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.