Results 41 to 50 of about 4,347 (105)
Inclusion Properties for Classes of p‐Valent Functions
Journal of Function Spaces, Volume 2024, Issue 1, 2024.Making use of a differential operator, which is defined here by means of the Hadamard product, we introduce classes of p‐valent functions and investigate various important inclusion properties and characteristics for these classes. Also, a property preserving integrals is considered.
B. M. Munasser +5 more
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Properties of a Linear Operator Involving Lambert Series and Rabotnov Function
International Journal of Mathematics and Mathematical Sciences, Volume 2024, Issue 1, 2024.This work is an attempt to apply Lambert series in the theory of univalent functions. We first consider the Hadamard product of Rabotnov function and Lambert series with coefficients derived from the arithmetic function σ(n) to introduce a normalized linear operator JRα,βz.
Jamal Salah, Bao Q. Li
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A generalization of starlike functions of order alpha [PDF]
, 2015 For every $q\in(0,1)$ and $0\le ...
Agrawal, Sarita, Sahoo, Swadesh K.
core
Inclusion and Neighborhood on a Multivalent q‐Symmetric Function with Poisson Distribution Operators
Journal of Mathematics, Volume 2024, Issue 1, 2024.In this paper, by using Poisson distribution probability, some characteristics of analytic multivalent q‐symmetric starlike and q‐symmetric convex functions of order η are examined. Then, by utilizing the Poisson distribution and the concept of the q‐analogue Salagean integral operator, the p‐valent convergence polynomial was introduced. Furthermore, a
Ebrahim Amini +3 more
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Geometric Properties of Partial Sums of Univalent Functions [PDF]
, 2012 The $n$th partial sum of an analytic function $f(z)=z+\sum_{k=2}^\infty a_k z^k$ is the polynomial $f_n(z):=z+\sum_{k=2}^n a_k z^k$. A survey of the univalence and other geometric properties of the $n$th partial sum of univalent functions as well as ...
Ravichandran, V.
core
On Certain Analogues of Noor Integral Operators Associated with Fractional Integrals
Journal of Function Spaces, Volume 2024, Issue 1, 2024.In this paper, we employ a q‐Noor integral operator to perform a q‐analogue of certain fractional integral operator defined on an open unit disc. Then, we make use of the Hadamard convolution product to discuss several related results. Also, we derive a class of convex functions by utilizing the q‐fractional integral operator and apply the inspired ...
Mojtaba Fardi +3 more
wiley +1 more source
On a subclass of strongly starlike functions
Applied Mathematics Letters, 2011 AbstractLet S∗(qc), c∈(0,1], denote the class of analytic functions f in the unit disc U normalized by f(0)=f′(0)−1=0 and satisfying the condition |[zf′(z)/f(z)]2−1|∣
Janusz Sokół, M. K. Aouf, Jacek Dziok
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Coefficient Bounds for q‐Noshiro Starlike Functions in Conic Region
Journal of Function Spaces, Volume 2024, Issue 1, 2024.We present and examine a new family of analytic functions that can be described by a q‐Ruscheweyh differential operator. We discuss several novel results, including coefficient inequalities and other noteworthy properties such as partial sums and radii of starlikeness.
V. Malathi, K. Vijaya, H. Ozlem Guney
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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
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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
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