Generalized hypergeometric functions with applications in statistics and physical sciences
نویسندگان
چکیده
منابع مشابه
Extended Generalized Hypergeometric Functions and Their Applications (communicated by Hari
Abstract. By means of the extended beta function B (κl) b,d , we introduce new extensions of the generalized hypergeometric functions and present some new integral and series representations (including the one obtained by adopting the well-known Ramanujan’s Master Theorem). Further generalizations are also considered. We point out the usefulness of some of the the results by showing their conne...
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In the present paper, we have established sufficient conditions for Gaus-sian hypergeometric functions to be in certain subclass of analytic univalent functions in the unit disc $mathcal{U}$. Furthermore, we investigate several mapping properties of Hohlov linear operator for this subclass and also examined an integral operator acting on hypergeometric functions.
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General theory of elliptic hypergeometric series and integrals is outlined. Main attention is paid to the examples obeying properties of the “classical” special functions. In particular, an elliptic analogue of the Gauss hypergeometric function and some of its properties are described. Present review is based on author’s habilitation thesis [Spi7] containing a more detailed account of the subject.
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ژورنال
عنوان ژورنال: Advances in Mathematics
سال: 1975
ISSN: 0001-8708
DOI: 10.1016/0001-8708(75)90054-7