Results 21 to 30 of about 590 (89)

A class of univalent functions with real coefficients [PDF]

open access: yes, 2018
In this paper we study class $\mathcal{S}^+$ of univalent functions $f$ such that $\frac{z}{f(z)}$ has real and positive coefficients. For such functions we give estimates of the Fekete-Szeg\H{o} functional and sharp estimates of their initial ...
Obradovic, Milutin, Tuneski, Nikola
core   +2 more sources

Basic and fractional q-calculus and associated Fekete-Szegő problem for p-valently q-starlike functions and p-valently q-convex functions of complex order

open access: yesMiskolc Mathematical Notes, 2019
In this paper, we introduce and study some subclasses of p-valently analytic functions in the open unit disk U by applying the q-derivative operator and the fractional q-derivative operator in conjunction with the principle of subordination between ...
H. Srivastava   +3 more
semanticscholar   +1 more source

Upper bound of the third Hankel determinant for a class of analytic functions related with lemniscate of Bernoulli

open access: yesJournal of Inequalities and Applications, 2013
In this paper, the upper bound of the Hankel determinant H3(1) for a subclass of analytic functions associated with right half of the lemniscate of Bernoulli (x2+y2)2−2(x2−y2)=0 is investigated. MSC:30C45, 30C50.
Mohsan Raza, S. Malik
semanticscholar   +1 more source

Extreme points and support points of conformal mappings

open access: yesOpen Mathematics, 2019
There are three types of results in this paper. The first, extending a representation theorem on a conformal mapping that omits two values of equal modulus. This was due to Brickman and Wilken.
Peretz Ronen
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

Coefficient inequalities for a subclass of Bazilevič functions

open access: yesDemonstratio Mathematica, 2020
Let f be analytic in D={z:|z| 
Fitri Sa’adatul   +3 more
doaj   +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

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

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

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

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