Results 1 to 10 of about 1,315,000 (325)
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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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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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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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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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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A Class of Quadrature Rules for Complex Cauchy Principal Value Integrals [PDF]
International Journal of Mathematical, Engineering and Management Sciences, 2023 This article is fully devoted to the numerical approximation of Cauchy-type integrals in the complex plane. A class of degree eight quadrature rules is formulated from a family of Gauss-type two-point rules based on the method of extrapolation. The basic
Arup Kumar Saha +2 more
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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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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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The Lerch Zeta Function II. Analytic Continuation [PDF]
, 2010 This is the second of four papers that study algebraic and analytic structures associated with the Lerch zeta function. In this paper we analytically continue it as a function of three complex variables.
Apostol T. M. +7 more
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