Mongkolsery LinBrian FisherSomsak OrankitjaroenMahidol UniversityUniversity of Leicester2018-11-232018-11-232015-09-01Asian-European Journal of Mathematics. Vol.8, No.3 (2015)17937183179355712-s2.0-84951817204https://repository.li.mahidol.ac.th/handle/20.500.14594/36198© 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.Mahidol UniversityMathematicsArticleSCOPUS10.1142/S1793557115500485