Results 31 to 40 of about 13,660,663 (362)
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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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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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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Mathematics, 2019 In the present article, we consider certain subfamilies of analytic functions connected with the cardioid domain in the region of the unit disk. The purpose of this article is to investigate the estimates of the third Hankel determinant for these ...
Lei Shi +5 more
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A Subclass of Analytic Functions Associated with Hypergeometric Functions [PDF]
Sahand Communications in Mathematical Analysis, 2019 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 $mathcal{U}$.
Santosh B. Joshi +2 more
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Functional Dependence and Analytic Functions [PDF]
Canadian Mathematical Bulletin, 1979 AbstractWithout appealing to the Cauchy theorem or its corollaries, it is proved that the real and imaginary parts of a non-constant complex-valued analytic function of several complex variables are functionally independent. This unifies and generalizes some results sporadically treated in standard treatises on function theory.
openaire +2 more sources
A new differential operator of analytic functions involving binomial series
Boletim da Sociedade Paranaense de Matemática, 2019 In this paper, we introduce a new di¤erential operator of analytic functions involving binomial series. Furthermore, we derive some subordination and superordination results for this operator. Some applications and examples are also obtained.
B. Frasin
semanticscholar +1 more source
Two-point Taylor Expansions of Analytic Functions [PDF]
, 2002 Taylor expansions of analytic functions are considered with respect to two points. Cauchy-type formulas are given for coefficients and remainders in the expansions, and the regions of convergence are indicated. It is explained how these expansions can be
Lopez, Jose L., Temme, Nico M.
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Normality of Composite Analytic Functions and Sharing an Analytic Function
Fixed Point Theory and Applications, 2010 A result of Hinchliffe (2003) is extended to transcendental entire function, and an alternative proof is given in this paper. Our main result is as follows: let be an analytic function, a family of analytic functions in a domain , and a ...
Xiao Bing, Yuan Wenjun, Wu Qifeng
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On certain analytic univalent functions
International Journal of Mathematics and Mathematical Sciences, 2001 We consider the class of analytic functions B(α) to investigate some properties for this class. The angular estimates of functions in the class B(α) are obtained.
B. A. Frasin, M. Darus
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