Results 1 to 10 of about 13,660,663 (362)
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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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 n of the underlying vector space.
Laville, Guy, Lehman, Eric
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CT-Right Equivalence Of Analytic Functions [PDF]
Demonstratio Mathematica, 2015 Let ƒ, g : (ℝn, 0) --+ (ℝ, 0) be analytic functions. We will show that if ▽ƒ(0) = 0 and g ƒ∈ (ƒ)r+2 then I and g are Cr-right equivalent, where (ƒ) denote ideal generated by ƒ and r ∈ ℕ.
Migus Piotr
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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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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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Analytic Gaussian functions in the unit disc: probability of zeros absence
Математичні Студії, 2023 In the paper we consider a random analytic function of the form $$f(z,\omega )=\sum\limits_{n=0}^{+\infty}\varepsilon_n(\omega_1)\xi_n(\omega_2)a_nz^n.$$ Here $(\varepsilon_n)$ is a sequence of inde\-pendent Steinhaus random variables, $(\xi_n)$ is a ...
A. O. Kuryliak, O. B. Skaskiv
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The Bohr phenomenon for analytic functions on shifted disks
Annales Fennici Mathematici, 2021 In this paper, we investigate the Bohr phenomenon for the class of analytic functions defined on the simply connected domain \(\Omega_{\gamma}=\bigg\{z\in\mathbb{C} \colon \bigg|z+\frac{\gamma}{1-\gamma}\bigg|
M. B. Ahamed, V. Allu, H. Halder
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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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Approximation of Analytic Functions by Kummer Functions
Journal of Inequalities and Applications, 2010 We solve the inhomogeneous Kummer differential equation of the form xy′′+(β-x)y′-αy=∑m=0∞amxm and apply this result to the proof of a local Hyers-Ulam stability of the Kummer differential equation ...
Soon-Mo Jung
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