Results 81 to 90 of about 1,238 (216)
The Fekete-Szegö Problem for p-Valently Janowski Starlike and Convex Functions
International Journal of Mathematics and Mathematical Sciences, 2011 For p-valently Janowski starlike and convex functions defined by applying subordination for the generalized Janowski function, the sharp upper bounds of a functional |ap+2−μa2p+1| related to the Fekete-Szegö problem are given.
Toshio Hayami, Shigeyoshi Owa
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Starlike functions associated with the generalized Koebe function [PDF]
In this paper we study some properties of functions f which are analytic and normalized (i.e. f (0) = 0 = f' (0) - 1) such that satisfy the following subordination relation(zf'(z)/f(z) - 1) < z/ (1 - pz)(1 - qz),where (p, q) is an element of [-1, 1] x ...
Trojnar-Spelina Lucyna, Kargar Rahim
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Journal of Function Spaces, Volume 2025, Issue 1, 2025.This paper establishes new applications of q‐calculus for meromorphic harmonic functions, utilizing concepts of convolutions, subordination, and the q‐difference operator. We introduce the q‐Ruscheweyh‐type derivative operator for meromorphic harmonic functions and utilize it to define and explore novel subclasses related to Janowski functions.
Ahmad A. Abubaker, Abdul Rauf Khan
wiley +1 more source
James' Theorem Fails for Starlike Bodies
, 2001 Starlike bodies are interesting in nonlinear functional analysis because they are strongly related to bump functions and to n-homogeneous polynomials on Banach spaces, and their geometrical properties are thus worth studying.
Deville, Robert +3 more
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Starlike and Convexity Properties for Hypergeometric Functions
, 1993 Given the hypergeometric function F(a, b; c; z) = ∑∞n = 0 ((a)n (b)n/(c)n(1)n) zn, we place conditions on a, b, c to guarantee that zF(a, b; c; z) will be in various subclasses of starlike and convex functions.
Silverman, H.
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Subordination Properties of Bi‐Univalent Functions Involving Horadam Polynomials
Journal of Function Spaces, Volume 2025, Issue 1, 2025.In this research, we investigate a family of q‐extensions defined on an open unit disk, which is based on bi‐univalent functions associated with differential subordination. Next, we define certain classes of bi‐univalent functions using generalized Horadam polynomials.
Ebrahim Amini +2 more
wiley +1 more source
International Journal of Mathematics and Mathematical Sciences, 2000 Let f(z)=z+a2z2+a3z3+⋯ be an analytic function in the open unit disk. A sharp upper bound is obtained for |a3−μa22| by using the classes of strongly starlike functions of order β and type α when μ≥1.
B. A. Frasin, Maslina Darus
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Boundary behavior of starlike functions
, 1972 For a starlike function f, we impose a geometric condition on the image of the open unit disc by the mapping w = z f ′ ( z ) / f ( z
P. J. Eenigenburg
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Coefficient Inequalities for Certain Starlike and Convex Functions
, 2022 In this paper, we consider two Ma-Minda-type subclasses of starlike and convex functions associated with the normalized analytic function phi(Ne)(z) = 1 + z - z3/3 that maps an open unit disk onto the Nephroid shaped bounded domain in the right-half of ...
Kumar, Sushil, ÇETİNKAYA, ASENA
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On Starlike and Close-to-Convex Functions [PDF]
Proceedings of the London Mathematical Society, 1963 Peer Reviewed ; http://deepblue.lib.umich.edu/bitstream/2027.42/135466/1/plms0290 ...
openaire +2 more sources