Results 21 to 30 of about 106 (104)

Hankel determinant of order three for familiar subsets of analytic functions related with sine function

open access: yesOpen Mathematics, 2019
In this paper we define and consider some familiar subsets of analytic functions associated with sine functions in the region of unit disk on the complex plane. For these classes our aim is to find the Hankel determinant of order three.
Arif Muhammad   +4 more
doaj   +1 more source

Application of Ruscheweyh q-differential operator to analytic functions of reciprocal order

open access: yes, 2020
The core object of this paper is to define and study new class of analytic function using Ruscheweyh q-differential operator. We also investigate a number of useful properties such as inclusion relation, coefficient estimates, subordination result,for ...
KHAN, Imran   +2 more
core   +1 more source

Coefficient bounds for new subclasses of analytic and m-fold symmetric bi-univalent functions

open access: yes, 2021
In the present paper, we introduce and study two new subclasses of analytic and m-fold symmetric bi-univalent functions defined in the open unit disk U . Furthermore, for functions in each of the subclasses introduced here, we obtain upper bounds for the
WANAS, Abbas Kareem   +1 more
core   +1 more source

Some characteristic properties of analytic functions

open access: yesAnalele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2016
In this paper, we consider a class L(λ, μ; ϕ) of analytic functions f defined in the open unit disk U satisfying the subordination condition ...
Raina R. K.   +2 more
doaj   +1 more source

Meromorphic functions with positive coefficients

open access: yesInternational Journal of Mathematics and Mathematical Sciences, Volume 2004, Issue 6, Page 319-324, 2004., 2004
Let ∑∗(α, β, k) be a class of meromorphic functions f(z) with positive coefficients in D = {0 < |z| < 1}. The aim of the present note is to prove some properties for the class ∑∗(α, β, k).
Maslina Darus
wiley   +1 more source

Geometric properties of normalized imaginary error function

open access: yes, 2022
The error function takes place in a wide range in the fields of mathematics, mathematical physics and natural sciences. The aim of the current paper is to investigate certain properties such as univalence and close-to-convexity of normalized imaginary ...
ANALOUEI ADEGANI, Ebrahim   +3 more
core   +1 more source

Classes of uniformly starlike and convex functions

open access: yesInternational Journal of Mathematics and Mathematical Sciences, Volume 2004, Issue 55, Page 2959-2961, 2004., 2004
Some classes of uniformly starlike and convex functions are introduced. The geometrical properties of these classes and their behavior under certain integral operators are investigated.
Saeid Shams   +2 more
wiley   +1 more source

Bounds on third Hankel determinant for certain classes of analytic functions

open access: yes, 2022
Mathematics Subject Classification (2010): 30C45 ...
MAHARANA , Sudhananda   +2 more
core  

On generalized close-to-convexity related with strongly Janowski functions

open access: yes, 2023
Janowski functions of strongly type are used to define certain classes of analytic functions which generalize the concept of close-to-convexity and bounded boundary rotation.
SHAH, Shujaat Ali, NOOR, Khalida Inayat
core   +1 more source

An application of a subordination chain

open access: yesInternational Journal of Mathematics and Mathematical Sciences, Volume 2003, Issue 27, Page 1751-1754, 2003., 2003
Let K denote the class of functions g(z) = z + a2z2 + ⋯ which are regular and univalently convex in the unit disc E. In the present note, we prove that if f is regular in E, f(0) = 0, then for g ∈ K, f(z) + αzf′(z) ≺ g(z) + αzg′(z) in E implies that f(z)≺g(z) in E, where α > 0 is a real number and the symbol “≺” stands for subordination.
Sukhjit Singh, Sushma Gupta
wiley   +1 more source

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