Publication:
Some results on the beta function and the incomplete beta function

Issued Date

2015-09-01

Resource Type

Article

ISSN

17937183
17935571

DOI

10.1142/S1793557115500485

Other identifier(s)

2-s2.0-84951817204

Rights

Mahidol University

Rights Holder(s)

SCOPUS

Bibliographic Citation

Asian-European Journal of Mathematics. Vol.8, No.3 (2015)

Suggested Citation

Mongkolsery Lin, Brian Fisher, Somsak Orankitjaroen Some results on the beta function and the incomplete beta function. Asian-European Journal of Mathematics. Vol.8, No.3 (2015). doi:10.1142/S1793557115500485 Retrieved from: https://repository.li.mahidol.ac.th/handle/20.500.14594/36198

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Title

Some results on the beta function and the incomplete beta function

Author(s)

Mongkolsery Lin
 Brian Fisher
 Somsak Orankitjaroen

Other Contributor(s)

Mahidol University
 University of Leicester

Abstract

© 2015 World Scientific Publishing Company. The incomplete Beta function B(a,b; x) is defined for a,b > 0 and 0 < x < 1. This definition was extended to negative integer values of a and b by Özç et al. using neutrix limits. Partial derivatives of the incomplete Beta function B(a,b; x) for negative integer values of a and b were then evaluated. In the following, a number of results are obtained for the incomplete Beta function B(a,b; x) and then the corresponding results for the Beta function B(a,b) are deduced.

Keyword(s)

Mathematics

Availability

URI

https://repository.li.mahidol.ac.th/handle/20.500.14594/36198

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Scopus 2011-2015