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Bohr-type inequalities of analytic functions [PDF]
Journal of Inequalities and Applications, 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 ...
Ming-Sheng Liu +2 more
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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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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 $R$.
T. Kaiser
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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 a boundary property of analytic functions [PDF]
Journal of Inequalities and Applications, 2017 Let f be an analytic function in the unit disc | z | < 1 $|z|
Mamoru Nunokawa, Janusz Sokół
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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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Zeros of Gaussian Analytic Functions [PDF]
Mathematical Research Letters, 2000 We prove and discuss three results on zero distribution of gaussian analytic functions: (i) the Edeleman-Kostlan formula for the expectation of the counting measure; (ii) a variation on the theme of Calabi's rigidity theorem; (iii) Offord's estimate of ...
Sodin, Mikhail
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Analytic cliffordian functions [PDF]
, 2004 In classical function theory, a function is holomorphic if and only if it is complex analytic. For higher dimensional spaces it is natural to work in the context of Clifford algebras. The structures of these algebras depend on the parity of the dimension
Annales Academi +3 more
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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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