Some results on the beta function and the incomplete beta function
© 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 n...
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| Main Authors: | , , |
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| 格式: | Article |
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2018
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| 在線閱讀: | https://repository.li.mahidol.ac.th/handle/123456789/36198 |
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| 總結: | © 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. |
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