Results 1 to 10 of about 624,684 (237)

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, Oya Mert, Alaattin Akyar   +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, Daniel Breaz, Shigeyoshi Owa   +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, M. V. Kabanko, T. V. Shevtsova   +2 more
doaj   +1 more source

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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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
doaj   +1 more source

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
doaj   +1 more source

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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SOME RESULTS ON JACK’S LEMMA FOR ANALYTIC FUNCTIONS

Journal of Amasya University the Institute of Sciences and Technology, 2022
In this paper, an upper bound will be found for the second coefficient in the Taylor expansion of the analytical function $p(z)$ using the Jack lemma. Also, the modulus of the angular derivative of the $I_{f}(z)=\frac{zp^{\prime }(z)}{p(z)}$ function on ...
Bülent Nafi Örnek
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Certain Classes of Univalent Functions Associated With Deferential Operator [PDF]

Engineering and Technology Journal, 2017
The main objectives of this research work is to present and investigate thecertain subfamily of Bazilevic functions by making use the differential operatorwhich generalize of many operators presented by several authors, we have discussedand estimated on ...
M.S. A.Hussein
doaj   +1 more source

New Subclass of Analytic Function Involving q-Mittag-Leffler Function in Conic Domains

Journal of Function Spaces, 2022
In this paper, we formulate the q-analogus of differential operator associated with q-Mittag-Leffler function. By using this newly defined operator, we define a new subclass k−USq,γmα,β, of analytic functions in conic domains.
Saima Noor, Asima Razzaque
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