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Titlebook: Advances in Real and Complex Analysis with Applications; Michael Ruzhansky,Yeol Je Cho,Iván Area Book 2017 Springer Nature Singapore Pte L

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Bloch Mappings on Bounded Symmetric Domains,holomorphic Bloch mappings on finite dimensional bounded symmetric domains. As an application, we give a lower bound of the Bloch constant for these locally biholomorphic Bloch mappings. Finally, we show that there exist no isometric composition operators from the space . of bounded and holomorphic
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Certain Class of Meromorphically Multivalent Functions Defined by a Differential Operator,.. We obtain coefficient estimates, distortion theorem, radius of convexity and closure theorems for the class .. The familiar concept of neighborhoods of analytic functions is also extended and applied to the functions considered here.
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Bivariate Symmetric Discrete Orthogonal Polynomials,itions to have admissible, potentially self-adjoint partial difference equations of hypergeometric type having orthogonal polynomial solutions. For these solutions, we give explicitly the matrix coefficients of the three-term recurrence relations they satisfy. Finally, conditions in order to have sy
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,Quadratic Reciprocity and Some “Non-differentiable” Functions,mber Theory 1, 107–116, 2004), Murty and Pacelli gave an instructive proof of the quadratic reciprocity via the theta transformation formula and Gerver (Amer J Math 92, 33–55, 1970) [.] was the first to give a proof of differentiability/non-differentiability of Riemann’s function. The aim here is to
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