Results 31 to 40 of about 590 (89)
Some Marx-Strohhacker type results for a class of multivalent functions
, 2017 In this paper, two Marx-Strohhäcker type results are proven for a certain class of analytic and multivalent functions in the open unit disk D. The first result gives the order of multivalent starlikeness for multivalently convex functions of some ...
M. Nunokawa +3 more
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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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Annals of Mathematics and PhysicsIn this paper, we present and examine a novel subset of the function class ∑, which consists of analytic and bi-univalent functions defined in the open unit disk U and connected to the Salagean differential operator.
Shabani Mohammad Mehdi +2 more
semanticscholar +1 more source
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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A general solution of the Fekete-Szegö problem
, 2013 In the paper we introduce general classes of analytic functions defined by the Hadamard product. The Fekete-Szegö problem is completely solved in these classes of functions. Some consequences of the main results for new or well-known classes of functions
J. Dziok
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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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