Results 31 to 40 of about 59 (59)

Some Distortion Theorems for Starlike Harmonic Functions [PDF]

, 2010
MSC 2010: 30C55, 30C45Distortion and growth theorems are ...
Yavuz Duman, Emel
core  

Unified Approach of the Logarithmic Coefficient Bounds for the Class of Bazilevic˘ Functions

Journal of Function Spaces, Volume 2026, Issue 1, 2026.
The investigation of logarithmic coefficients in the theory of univalent functions began with Milin, who demonstrated their importance for understanding geometric features of these mappings through their connection with the Taylor coefficients hm. If S denotes the family of univalent functions on the unit disk D with the expansion hz=z+∑m=2∞hmzm, the ...
Ebrahim Analouei Adegani, Nafya Hameed Mohammed, Teodor Bulboacă, Giovanni Di Fratta   +3 more
wiley   +1 more source

Subclasses of close‐to‐convex functions

International Journal of Mathematics and Mathematical Sciences, Volume 6, Issue 3, Page 449-458, 1983., 1983
Let 𝒦[C, D], −1 ≤ D < C ≤ 1, denote the class of functions g(z), g(0) = g′(0) − 1 = 0, analytic in the unit disk U = {z : |z| < 1} such that 1 + (zg″(z)/g′(z)) is subordinate to (1 + Cz)/(1 + Dz), z ϵ U. We investigate the subclasses of close‐to‐convex functions f(z), f(0) = f′(0) − 1 = 0, for which there exists g ϵ 𝒦[C, D] such that f′/g′ is ...
E. M. Silvia
wiley   +1 more source

Hadamard Product on Subclasses of Meromorphic Functions Involving q‐Difference Operator

Journal of Function Spaces, Volume 2025, Issue 1, 2025.
By making use of a q‐derivative operator, certain families of meromorphic q‐starlike functions and meromorphic q‐convex functions are introduced and studied. In this paper, we define a q‐analogous value of differential operators for meromorphic functions with the help of basic concepts of quantum (q‐)calculus operator theory and introduce new ...
W. Y. Kota, R. M. El-Ashwah, Nicoleta Breaz, Shrideh K. Q. Al-Omari   +3 more
wiley   +1 more source

Some operators of fractional calculus and their applications regarding various complex functions analytic in certain domains [PDF]

In this academic research note, some familiar operators prearranged by fractional-order calculus will first be introduced and various characteristic properties of those operators will next be propounded.
IRMAK, Hüseyin
core   +2 more sources

Harmonic close-to-convex mappings associated with Sălăgean q-differential operator [PDF]

In this paper, we define a new subclass W(n; _; q) of analytic functions and a new subclass W0H (n; _; q) of harmonic functions f = h+g 2 H0 associated with Sălăgean q-differential operator. We prove that a harmonic function f = h+_g belongs to the class
MISHRA, Omendra, ÇETINKAYA, Asena, SOKÓŁ, Janusz, Sokol, Janusz   +3 more
core   +2 more sources

Notes on starlike log-harmonic functions of order α

, 2013
For log-harmonic functions f(z) = zh(z)g(z) in the open unit disk U, two subclasses H*LH(α) and G*LH(α) of S*LH(α) consisting of all starlike log-harmonic functions of order α (0 ≤ α < 1) are considered. The object of the present paper is to discuss some
Aydoğan, Seher Melike, Owa, Shigeyoshi, Duman, Emel Yavuz   +2 more
core  

© Hindawi Publishing Corp. ON SOME NEW PROPERTIES OF THE SPHERICAL CURVATURE OF STEREOGRAPHICALLY PROJECTED ANALYTIC CURVES

, 2002
We discover new information about the spherical curvature of stereographically projected analytic curves. To do so, we first state formulas for the spherical curva-ture and spherical torsion of the curves on S2 which result after stereographically ...
Stephen M. Zemyan
core  

Quasiconformal deformation of the chordal Loewner driving function and first variation of the Loewner energy. [PDF]

Math Ann
Sung J, Wang Y.
europepmc   +1 more source

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On some classes of first-order differential subordinations.

Michigan Mathematical Journal, 1985
Sanford Miller, Petru T Mocanu
exaly