MONODROMY REPRESENTATIONS ASSOCIATED WITH APPELL' S HYPERGEOMETRIC FUNCTION F1 USING INTEGRALS OF A MULTIVALUED FUNCTION
نویسندگان
چکیده
منابع مشابه
Some Results Associated with Fractional Calculus Operators Involving Appell Hypergeometric Function
A class of fractional derivative operators (with the Appell hypergeometric function in the kernel) is used here to define a new subclass of analytic functions and a coefficient bound inequality is established for this class of functions. Also, an inclusion theorem for a class of fractional integral operators involving the Hardy space of analytic functions is proved. The concluding remarks brief...
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[12] N. Takayama, Computation of intersection numbers of a twisted homology group of a locally constant sheaf of more than 1 dimension, 1995, preprint. Corollary 5.2. The monodromy matrices of solutions of the dierential equation (z d dz p Y k=2 z d dz + b k 0 1 0 z p Y k=1 z d dz + a k) y = 0 which correspond to the compact chambers of the hyperplane arrangement ((1 0 t 1)(z 0 t p01) p02 Y i=1...
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translation as a comunicative process is always said to be associated with various aspects of meaning loss or gain. subtitling as a mode of translating, due to special discoursal and textual conditions imposed upon it, is believed to be an obvious case of this loss or gain. presenting the spoken sound track of a film in writing and synchronizing the perception of this text by the viewers with...
15 صفحه اولAppell hypergeometric partial differential equations
Mathematicians often speak of the unity of their subject. Such a unity from the 19th century origins in the history of linear ordinary differential equations, especially those closely connected with elliptic and modular functions. It is concerned with the impact of group theoretical and geometrical ideas upon the problem of understanding the nature of the solutions to a differential equation (s...
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Using Mellin-Barnes integrals we give a method to compute a relevant subgroup of the monodromy group of an A-hypergeometric system of differential equations. Presumably this group is the full monodromy group of the system
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ژورنال
عنوان ژورنال: Kyushu Journal of Mathematics
سال: 2012
ISSN: 1340-6116,1883-2032
DOI: 10.2206/kyushujm.66.89