On partial derivatives of the incomplete beta function
نویسندگان
چکیده
منابع مشابه
A Note on the Beta Function And Some Properties of Its Partial Derivatives
In this paper, the partial derivatives Bp,q(x, y) = ∂ ∂xp∂yq B(x, y) of the Beta function B(x, y) are expressed in terms of a finite number of the Polygamma function, where p and q are non-negative integers, x and y are complex numbers. In particular, Bp,q(x, y) can be expressed by the Riemann zeta function if x is equal to n or n + 1 2 and y is equal to m or m + 1 2 , where n and m are integer...
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– Recently an extension of beta function is defined by introducing an extra parameter is proved to be useful earlier (Aslam Chaudhry 1997 [8] and A. R. Miller 1998 [1]). In this research note, we generalize the incomplete beta function and obtained the various integral representations and properties. Furthermore, we obtained the beta distribution for generalized beta function. Keywords––Incompl...
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ژورنال
عنوان ژورنال: Applied Mathematics Letters
سال: 2008
ISSN: 0893-9659
DOI: 10.1016/j.aml.2007.07.020