Results 11 to 20 of about 733,090 (333)
On the singularities of an analytic function [PDF]
Bulletin of the American Mathematical Society, 1935 E. W. Miller
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Archive for Mathematical Logic, 2016 We introduce the notion of $R$-analytic functions. These are definable in an o-minimal expansion of a real closed field $R$ and are locally the restriction of a $K$-differentiable function (defined by Peterzil and Starchenko) where $K=R[\sqrt{-1}]$ is the algebraic closure of $R$.
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a*-families of analytic functions
International Journal of Mathematics and Mathematical Sciences, 1984 Using convolutions, a new family of analytic functions is introduced. This family, called a*-family, serves in certain situations to unify the study of many previously well known classes of analytic functions like multivalent convex, starlike, close-to ...
G. P. Kapoor, A. K. Mishra
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A new criterion for starlike functions
International Journal of Mathematics and Mathematical Sciences, 1996 In this paper we shall get a new criterion for starlikeness, and the hypothesis of this criterion is much weaker than those in [1] and [2].
Ling Yi, Shusen Ding
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Approximation of Analytic Functions by Chebyshev Functions
Abstract and Applied Analysis, 2011 We solve the inhomogeneous Chebyshev's differential equation and apply this result for approximating analytic functions by the Chebyshev functions.
Soon-Mo Jung, Themistocles M. Rassias
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Convex combination of analytic functions
Open Mathematics, 2017 Radii of convexity, starlikeness, lemniscate starlikeness and close-to-convexity are determined for the convex combination of the identity map and a normalized convex function F given by f(z) = α z+(1−α)F(z).
Cho Nak Eun +2 more
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Gram Points in the Universality of the Dirichlet Series with Periodic Coefficients
Mathematics, 2023 Let a={am:m∈N} be a periodic multiplicative sequence of complex numbers and L(s;a), s=σ+it a Dirichlet series with coefficients am. In the paper, we obtain a theorem on the approximation of non-vanishing analytic functions defined in the strip 1 ...
Darius Šiaučiūnas, Monika Tekorė
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Subordination Implications and Coefficient Estimates for Subclasses of Starlike Functions
Mathematics, 2020 In the present paper, we consider various subclasses of star-like functions, which are defined by subordination and then we obtain several subordination implications related to these subclasses.
Nak Eun Cho +3 more
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On the growth of analytic functions [PDF]
Transactions of the American Mathematical Society, 1938 1. P6lya,4 in a restricted case, and Bernstein,? under rather general conditions, have, to state their results roughly, proved that the rate of growth of an analytic function along a line can be determined by its growth along a suitable sequence of discrete points on the line.
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Note on bases in algebras of analytic functions on Banach spaces
Karpatsʹkì Matematičnì Publìkacìï, 2019 Let $\{P_n\}_{n=0}^\infty$ be a sequenceof continuous algebraically independent homogeneous polynomials on a complex Banach space $X.$ We consider the following question: Under which conditions polynomials $\{P_1^{k_1}\cdots P_n^{k_n}\}$ form a Schauder
I.V. Chernega, A.V. Zagorodnyuk
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