Extension of gamma, beta and hypergeometric functions
نویسندگان
چکیده
منابع مشابه
On an Extension of Extended Beta and Hypergeometric Functions
Abstract. Motivated mainly by certain interesting recent extensions of the Gamma, Beta and hypergeometric functions, we introduce here new extensions of the Beta function, hypergeometric and confluent hypergeometric functions. We systematically investigate several properties of each of these extended functions, such as their various integral representations, Mellin transforms, derivatives, tran...
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Some integral properties of zonal spherical functions, hypergeometric functions and invariant polynomials are studied for real normed division algebras.
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In this present paper, the main aim of the authors are to present extended k-gamma, k-beta functions and extended k-beta distribution where k > 0. These newly defined functions are the generalized forms of the extended gamma, beta functions and extended beta distribution. Also, we further generalize the said functions and some of their properties.
متن کاملInequalities of extended beta and extended hypergeometric functions
We study the log-convexity of the extended beta functions. As a consequence, we establish Turán-type inequalities. The monotonicity, log-convexity, log-concavity of extended hypergeometric functions are deduced by using the inequalities on extended beta functions. The particular cases of those results also give the Turán-type inequalities for extended confluent and extended Gaussian hypergeomet...
متن کاملA New Generalization of Extended Beta and Hypergeometric Functions
Abstract: A new generalization of extended beta function and its various properties, integral representations and distribution are given in this paper. In addition, we establish the generalization of extended hypergeometric and confluent hypergeometric functions using the newly extended beta function. Some properties of these extended and confluent hypergeometric functions such as integral repr...
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ژورنال
عنوان ژورنال: Journal of Computational and Applied Mathematics
سال: 2011
ISSN: 0377-0427
DOI: 10.1016/j.cam.2010.04.019