Results 1 to 10 of about 230,866 (140)
Convex and Starlike Functions Defined on the Subclass of the Class of the Univalent Functions $S$ with Order $2^{-r}$ [PDF]
Sahand Communications in Mathematical Analysis, 2022 In this paper, some conditions have been improved so that the function $g(z)$ is defined as $g(z)=1+\sum_{k\ge 2}^{\infty}a_{n+k}z^{n+k}$, which is analytic in unit disk $U$, can be in more specific subclasses of the $S$ class, which is the most ...
İsmet Yıldız +2 more
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A New Operator for Meromorphic Functions
Mathematics, 2022 Let Σ be the class of functions f(z) of the form f(z)=1z+∑k=0∞akzk, which are analytic in the punctured disk. Using the differentiations and integrations, new operator Dnf(z) is introduced for f(z)∈Σ.
Hatun Özlem Güney +2 more
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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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ANALYTIC FUNCTIONS OF INFINITE ORDER IN HALF-PLANE
Проблемы анализа, 2022 J. B. Meles (1979) considered entire functions with zeros restricted to a finite number of rays. In particular, it was proved that if 𝑓 is an entire function of infinite order with zeros restricted to a finite number of rays, then its lower order ...
K. G. Malyutin +2 more
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Generalized Analytic Functions [PDF]
Transactions of the American Mathematical Society, 1956 algebra; the group r becomes the boundary of the disc, and all functions take their maximum modulus on r. For interior points r of the disc, there is a measure on r such that the value at r is given by an integral of the boundary values. This "Poisson integral" is studied in detail, and it is shown that one of these "generalized holomorphic" functionsf
Arens, Richard, Singer, I. M.
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A note on approximation of continuous functions on normed spaces
Karpatsʹkì Matematičnì Publìkacìï, 2020 Let $X$ be a real separable normed space $X$ admitting a separating polynomial. We prove that each continuous function from a subset $A$ of $X$ to a real Banach space can be uniformly approximated by restrictions to $A$ of functions, which are analytic ...
M.A. Mytrofanov, A.V. Ravsky
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Rate of interpolation of analytic functions with regularly decreasing coefficients by simple partial fractions [PDF]
Известия Саратовского университета. Новая серия: Математика. Механика. Информатика, 2023 We consider the problems of multiple interpolation of analytic functions $f(z)=f_0+f_1z+\dots$ in the unit disk with node $z=0$ by means of simple partial fractions (logarithmic derivatives of algebraic polynomials) with free poles and with all poles on ...
Komarov, Mikhail Anatol'evich
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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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Integral Criteria for Weighted Bloch Functions
Journal of Mathematics, 2021 The present manuscript gives analytic characterizations and interesting technique that involves the study of general ϖ-Besov classes of analytic functions by the help of analytic ϖ-Bloch functions.
A. El-Sayed Ahmed, M. A. Bakhit
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Analytic Error Function and Numeric Inverse Obtained by Geometric Means
Stats, 2023 Using geometric considerations, we provided a clear derivation of the integral representation for the error function, known as the Craig formula. We calculated the corresponding power series expansion and proved the convergence.
Dmitri Martila, Stefan Groote
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