Module Analytic Functions and Its Properties
نویسندگان
چکیده
منابع مشابه
Properties of Analytic Functions
In the last few sections, we completely described entire functions through the use of everywhere convergent power series. Our goal for the following sections is to instead consider functions which are analytic almost everywhere and see which results generalize. We shall see that we do get some generalizations (like representations of functions via convergent power series), but unlike the entire...
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A. A. Attiya,1, 2 Nak Eun Cho,3 and M. A. Kutbi4 1Department of Mathematics, Faculty of Science, University of Mansoura, Mansoura 35516, Egypt 2Department of Mathematics, Teachers’ College in Abha, King Khalid University, Abha, P.O. Box 249, Saudi Arabia 3Department of Applied Mathematics, Pukyong National University, Pusan 608-737, South Korea 4Department of Mathematics, Faculty of Science, Ki...
متن کاملSome characteristic properties of analytic functions
In this paper, we consider a class L (λ, μ;φ) of analytic functions f defined in the open unit disk U satisfying the subordination condition that q(z) Df(z) Dλf(z) ≺ φ(z) (λ ∈ N0, μ ≥ 0; z ∈ U), where q(z) = ( z Dλf(z) )μ−2 , D is the Sălăgean operator and φ(z) is a convex function with positive real part in U. We obtain some characteristic properties giving the coefficient inequality, radius a...
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for every point (x, y) E Z, X Z, . If Z, x Z, is identified with the lattice (h(m + in); m, 1z integers} embedded in the complex plane, then condition (1.1) is seen to be an “analyticity” condition: On each unit square of the lattice, the difference quotients along the two diagonals are the same. The above definition of analyticity was introduced by Ferrand [I] and many properties of such funct...
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ژورنال
عنوان ژورنال: Pure Mathematics
سال: 2017
ISSN: 2160-7583,2160-7605
DOI: 10.12677/pm.2017.74044