Results 21 to 30 of about 1,333 (181)

Certain Properties of Some Families of Generalized Starlike Functions with respect to q-Calculus

Abstract and Applied Analysis, 2016
By making use of the concept of q-calculus, various types of generalized starlike functions of order α were introduced and studied from different viewpoints.
Ben Wongsaijai, Nattakorn Sukantamala
doaj   +1 more source

Some results on certain subclasses of analytic functions involving generalized hypergeometric functions and Hadamard product

International Journal of Mathematics and Mathematical Sciences, 1992
By using a certain linear operator defined by a Hadamard product or convolution, several interesting subclasses of analytic functions in the unit disc are introduced and some unifying relationships between them are established.
Khalida Inayat Noor
doaj   +1 more source

Brief Study On A New Family of Analytic Functions [PDF]

Sahand Communications in Mathematical Analysis
The authors introduced a new class of analytic functions in this study by means of convolution principle and obtain its relations with some well-known subclasses of analytic univalent functions in geometric functions theory in the open unit disk $\mathbb{
Jamiu Hamzat, Gangadharan Murugusundaramoorthy, Matthew Oluwayemi   +2 more
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On certain classes of p-Valent functions

International Journal of Mathematics and Mathematical Sciences, 1986
Let Vkλ(α,b,p) (k≥2, b≠0 is any complex number, 0 ...
M. K. Aouf
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Starlike and convexity properties of q-Bessel-Struve functions

Demonstratio Mathematica, 2022
This paper introduces three different normalization associated with the second and third q-Bessel-Struve functions. We use Hadamard factorizations to determine the radii of starlike and convexity of these functions.
Oraby Karima M., Mansour Zeinab S. I.
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Univalent functions defined by Ruscheweyh derivatives

International Journal of Mathematics and Mathematical Sciences, 1983
We study some radii problems concerning the integral operator F(z)=γ+1zγ∫°zuγ−1f(u)du for certain classes, namely Kn and Mn(α), of univalent functions defined by Ruscheweyh derivatives. Infact, we obtain the converse of Ruscheweyh's result and improve
S. L. Shukla, Vinod Kumar
doaj   +1 more source

Coefficient estimates for some classes of p-valent functions

International Journal of Mathematics and Mathematical Sciences, 1988
Let Ap, where p is a positive integer, denote the class of functions f(z)=zp+∑n=p+1anzn which are analytic in U={z:|z|
M. K. Aouf
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On certain classes of close-to-convex functions

International Journal of Mathematics and Mathematical Sciences, 1993
A function f, analytic in the unit disk E and given by , f(z)=z+∑k=2∞anzk is said to be in the family Kn if and only if Dnf is close-to-convex, where Dnf=z(1−z)n+1∗f, n∈N0={0,1,2,…} and ∗ denotes the Hadamard product or convolution.
Khalida Inayat Noor
doaj   +1 more source

A unified representation of some starlike and convex harmonic functions with negative coefficients [PDF]

Opuscula Mathematica, 2013
In this paper we introduce a unified representation of starlike and convex harmonic functions with negative coefficients, related to uniformly starlike and uniformly convex analytic functions.
R. M. El-Ashwah, M. K. Aouf, A. A. M. Hassan, A. H. Hassan   +3 more
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ON A CRITERION FOR MULTIVALENTLY STARLIKENESS [PDF]

Taiwanese Journal of Mathematics, 1997
Let \(S(p)\) be the class of functions \(f:f(z)= z^p+ \sum^\infty_{n=p+1} a_nz^n\) analytic in the unit disc \(E\) and satisfying \(\text{Re} {zf'(z) \over f(z)} >0\) for \(z\in E\). \(f\in S(p)\) is called a \(p\)-valently starlike function in \(E\). In this paper a counter example is given to show that the main theorem of [\textit{M.
openaire   +3 more sources