An Extension of the Incomplete Beta Function For Negative Integers

dc.contributor.author	Özcağ, Emin
dc.contributor.author	Ege, İnci
dc.contributor.author	Gürçay, Haşmet
dc.date.accessioned	2019-12-16T09:39:51Z
dc.date.available	2019-12-16T09:39:51Z
dc.date.issued	2008
dc.identifier.issn	0022-247X
dc.identifier.uri	https://doi.org/10.1016/j.jmaa.2007.05.075
dc.identifier.uri	http://hdl.handle.net/11655/19758
dc.description.abstract	The incomplete beta function B-x(a, b) is defined for a, b > 0 and 0 < x < 1. Its definition can be extended, by regularization, to negative non-integer values of a and b. In this paper we define the incomplete beta function Bx (a, b) for negative integer values of a and b. Further we prove that the function partial derivative(m+n)/partial derivative a(m)partial derivative b(n)B(x)(a, b) exists for m, n = 0, 1, 2,... and all a and b. (C) 2007 Elsevier Inc. All rights reserved.
dc.language.iso	en
dc.publisher	Academic Press Inc Elsevier Science
dc.relation.isversionof	10.1016/j.jmaa.2007.05.075
dc.rights	info:eu-repo/semantics/openAccess
dc.subject	Mathematics
dc.title	An Extension of the Incomplete Beta Function For Negative Integers
dc.type	info:eu-repo/semantics/article
dc.type	info:eu-repo/semantics/publishedVersion
dc.relation.journal	Journal Of Mathematical Analysis And Applications
dc.contributor.department	Matematik
dc.identifier.volume	338
dc.identifier.issue	2
dc.identifier.startpage	984
dc.identifier.endpage	992
dc.description.index	WoS
dc.description.index	Scopus