Results 21 to 30 of about 404 (62)
Classes of uniformly starlike and convex functions
International 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
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Some characteristic properties of analytic functions
Analele 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
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An application of a subordination chain
International 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
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Subordination criteria for starlikeness and convexity
International Journal of Mathematics and Mathematical Sciences, Volume 2003, Issue 32, Page 2053-2059, 2003., 2003 For functions p analytic in the open unit disc U = {z : |z| < 1} with the normalization p(0) = 1, we consider the families 𝒫[A, −1], −1 < A ≤ 1, consisting of p such that p(z) is subordinate to (1 + Az)/(1 − z) in U and 𝒫(1, b), b > 0, consisting of p, which have the disc formulation |p − 1| < b in U.
Rasoul Aghalary, Jay M. Jahangiri
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Certain convex harmonic functions
International Journal of Mathematics and Mathematical Sciences, Volume 29, Issue 8, Page 459-465, 2002., 2002 We define and investigate a family of complex‐valued harmonic convex univalent functions related to uniformly convex analytic functions. We obtain coefficient bounds, extreme points, distortion theorems, convolution and convex combinations for this family.
Yong Chan Kim +2 more
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A subordination theorem for spirallike functions
International Journal of Mathematics and Mathematical Sciences, Volume 24, Issue 7, Page 433-435, 2000., 2000 We prove a subordination relation for a subclass of the class of λ‐spirallike functions.
Sukhjit Singh
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A new criterion for close‐to‐convexity of partial sums of certain hypergeometric functions
International Journal of Stochastic Analysis, Volume 10, Issue 2, Page 197-202, 1997., 1997 We consider the partial sums of certain hypergeometric functions and establish conditions imposed on the locations of zeros of those polynomials in order to be close‐to‐convex in the open unit disk.
Massoud Jahangiri
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International Journal of Mathematics and Mathematical Sciences, Volume 19, Issue 1, Page 201-203, 1996., 1996 The radius of univalence is found for the convolution f∗g of functions f ∈ S (normalized univalent functions) and g ∈ C (close‐to‐convex functions). A lower bound for the radius of univalence is also determined when f and g range over all of S. Finally, a characterization of C provides an inclusion relationship.
Herb Silverman
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A class of bounded starlike functions
International Journal of Mathematics and Mathematical Sciences, Volume 17, Issue 2, Page 249-252, 1994., 1994 We consider functions f(z) = z + … that are analytic in the unit disk and satisfy there the inequality Re(f′(z) + zf″(z)) > α, α < 1. We find extreme points and then determine sharp lower bounds on Ref′(z) and Re(f(z)/z). Sharp results for the sequence of partial sums are also found.
Herb Silverman
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Faber Polynomial Coefficients and Applications in Analytic Function Class
Journal of Mathematics, Volume 2025, Issue 1, 2025.Through this paper, by using the subordination definition, the ℘‐analogues Cătaş operator I℘nλ,I, complex order, and biunivalent functions with coefficients introduced by Faber polynomial expansion, we introduced the new class S℘,n∗f,λ,I,ξ,α,ϕ. A Faber polynomial is known as a sequence of polynomials that are used to approximate an analytic function on
Samar Mohamed +2 more
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