Results 111 to 120 of about 16,584 (269)
New Integral Operator for Analytic Functions
Journal of Function Spaces, Volume 2024, Issue 1, 2024.Let Ap(n) be the class of functions f(z) given by f(z) = zp + ap+nzp+n + ap+n+1zp+n+1 + ⋯ which are analytic in the open unit disk U. For f(z) ∈ Ap(n), new integral operators O−jfz and Ojfz(j = 0, 1, 2, ⋯.) are considered. The operators O−jfz and Ojfz satisfy OjO−jfz=O−jOjfz=fz and O−j∗Ojfz=Oj∗O−jfz=f∗fz for the convolution ∗ of O−jfz and Ojfz.
H. Özlem Güney +3 more
wiley +1 more source
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
Applications of Subordination for Holomorphic Functions Stated by Generalized By‐Product Operator
International Journal of Mathematics and Mathematical Sciences, Volume 2024, Issue 1, 2024.The aim of this research is to investigate certain problems of differential subordination and superordination of analytic univalent functions in an open unit disk. Furthermore, the universal by‐product operator and geometric properties such as coefficient inequalities are investigated.
Mustafa I. Hameed +6 more
wiley +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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The Bound of the Hankel Determinant of the Third Kind for Starlike Functions
Bulletin of the Malaysian Mathematical Sciences Society, 2018 In the present paper, the estimate of the third Hankel determinant $$\begin{aligned} \begin{aligned} H_{3,1}(f)&= \begin{vmatrix} a_{1}&a_{2}&a_{3} \\ a_{2}&a_{3}&a_{4} \\ a_{3}&a_{4}&a_{5} \end{vmatrix} \end{aligned} \end{aligned}$$H3,1(f ...
O. S. Kwon, A. Lecko, Y. J. Sim
semanticscholar +1 more source
ON A CRITERION FOR MULTIVALENTLY STARLIKENESS [PDF]
Taiwanese Journal of Mathematics, 1997 In this paper, we point out an error in [3, Main theorem] and obtain some sufficient conditions for multivalently starlikeness.
openaire +2 more sources
Initial Coefficient Estimates for Bi‐Univalent Functions Related to Generalized Telephone Numbers
Journal of Mathematics, Volume 2024, Issue 1, 2024.This study defines three novel classes of bi‐univalent functions connected to generalized telephone numbers for the first time. We produced assessments about the Taylor–Maclaurin coefficients |a2| and |a3| and Fekete–Szegö functional problems for functions involving these novel subclasses for functions in every one regarding these three bi‐univalent ...
Gangadharan Murugusundaramoorthy +5 more
wiley +1 more source
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
About a condition for starlikeness [PDF]
Acta Universitatis Sapientiae, Mathematica, 2013 Abstract A result concerning the starlikeness of the image of the Alexander operator is improved in this paper. The techniques of differential subordinations are used.
openaire +3 more sources
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
doaj +1 more source