Results 1 to 10 of about 733,090 (333)
Bohr-type inequalities of analytic functions. [PDF]
J Inequal Appl, 2018 In this paper, we investigate the Bohr-type radii for several different forms of Bohr-type inequalities of analytic functions in the unit disk, we also investigate the Bohr-type radius of the alternating series associated with the Taylor series of ...
Liu MS, Shang YM, Xu JF.
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Normality of Composite Analytic Functions and Sharing an Analytic Function [PDF]
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 a boundary property of analytic functions. [PDF]
J Inequal Appl, 2017 Let f be an analytic function in the unit disc | z | < 1 $|z|
Nunokawa M, Sokół J.
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On Pseudo-Analytic Functions [PDF]
Nagoya Mathematical Journal, 1957 Many of the properties of analytic functions can be proved in a purely topological manner, so that such properties are then valid for the larger class of functions which are topologically equivalent to analytic functions. The importance of such functions has been recognized fairly recently, particularly in the theory of partial differential equations ...
D. A. Storvick
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On Quasi-Analytic Functions [PDF]
Proceedings of the National Academy of Sciences, 1925 Jacques Hadamard
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Second Hankel Determinant for Certain Subclasses of Bi-starlike Functions Defined by Differential Operators [PDF]
Sahand Communications in Mathematical Analysis, 2023 In this paper, we obtain upper bounds of the initial Taylor-Maclaurin coefficients $\left\vert a_{2}\right\vert ,$ $\left\vert a_{3}\right\vert $ and $\left\vert a_{4}\right\vert $ and of the Fekete-Szegö functional $\left\vert a_{3}-\eta a_{2}^{2 ...
Halit Orhan, Hava Arikan, Murat Çağlar
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Geometrical Theory of Analytic Functions
Mathematics, 2022 This Special Issue, devoted to the topic of the “Geometric Theory of Analytic Functions”, aims to bring together the newest research achievements of scholars studying the complex-valued functions of one variable [...]
Georgia Irina Oros
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Sufficient Conditions for a New Class of Polynomial Analytic Functions of Reciprocal Order alpha [PDF]
Mathematics Interdisciplinary Research, 2017 In this paper, we consider a new class of analytic functions in the unit disk using polynomials of order alpha. We give some sufficient conditions for functions belonging to thisclass.
Mohammad Taati +2 more
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q-analytic functions, fractals and generalized analytic functions [PDF]
Journal of Physics A: Mathematical and Theoretical, 2014 We introduce a new class of complex functions of complex argument which we call q-analytic functions. These functions satisfy q-Cauchy–Riemann equations and have real and imaginary parts as q-harmonic functions. We show that q-analytic functions are not the analytic functions.
Pashaev, Oktay K., Nalci, Sengul
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Approximation of Analytic Functions by Kummer Functions
Journal of Inequalities and Applications, 2010 We solve the inhomogeneous Kummer differential equation of the form and apply this result to the proof of a local Hyers-Ulam stability of the Kummer differential equation in a special class of analytic functions.
Jung Soon-Mo
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