Results 31 to 40 of about 468 (53)
International Journal of Mathematics and Mathematical Sciences, Volume 24, Issue 9, Page 577-581, 2000., 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
wiley +1 more source
New Coefficient Conditions for Functions Starlike with Respect to Symmetric Points [PDF]
, 2010 2000 Mathematics Subject Classification: Primary 30C45, secondary 30C80.We consider some familiar subclasses of functions starlike with respect to symmetric points and obtain sufficient conditions for these classes in terms of their Taylor coefficient ...
Aghalary, R., Ebadian, A.
core
Initial Coefficient Estimates for Bi‐Univalent Functions Related to Generalized Telephone Numbers
Journal of Mathematics, Volume 2024, Issue 1, 2024.This study defines three novel classes of bi‐univalent functions connected to generalized telephone numbers for the first time. We produced assessments about the Taylor–Maclaurin coefficients |a2| and |a3| and Fekete–Szegö functional problems for functions involving these novel subclasses for functions in every one regarding these three bi‐univalent ...
Gangadharan Murugusundaramoorthy +5 more
wiley +1 more source
Some applications of a differential subordination
International Journal of Mathematics and Mathematical Sciences, Volume 22, Issue 3, Page 649-654, 1999., 1999 A number of interesting criteria were given by earlier workers for a normalized analytic function to be in the familiar class 𝔖* of starlike functions. The main object of the present paper is to extend and improve each of these earlier results. An application associated with an integral operator 𝔉c(c > −1) is also considered.
Yong Chan Kim, H. M. Srivastava
wiley +1 more source
A note on a class of $p$-valent starlike functions of order beta [PDF]
, 2014 In this paper we obtain sharp coefficient bounds for certain $p$-valent starlike functions of order $\beta$, $0\le ...
Lal Sharma, Navneet, Swadesh Sahoo
core
Radii of Starlikeness Associated with the Lemniscate of Bernoulli and the Left-Half Plane
, 2011 A normalized analytic function f defined on the open unit disk in the complex plane is in the class SL if zf'(z)/f(z) lies in the region bounded by the right-half of the lemniscate of Bernoulli given by |w^2 - 1| < 1. In the present investigation, the SL-
Ali, Rosihan M. +2 more
core +1 more source
Generalization properties for certain analytic functions
International Journal of Mathematics and Mathematical Sciences, Volume 21, Issue 4, Page 707-712, 1998., 1995 The object ofthe present paper is to give some generalizations of results for certain analytic functions which were proved by Saitoh (Math. Japon. 35 (1990), 1073‐1076). Our results contain some corollaries as the special cases.
Shigeyoshi Owa
wiley +1 more source
Prescribing the Preschwarzian in several complex variables
, 2010 We solve the several complex variables preSchwarzian operator equation $[Df(z)]^{-1}D^2f(z)=A(z)$, $z\in \C^n$, where $A(z)$ is a bilinear operator and $f$ is a $\C^n$ valued locally biholomorphic function on a domain in $\C^n$.
Rodrigo, Hernández
core +1 more source
On α‐convex functions of order β
International Journal of Mathematics and Mathematical Sciences, Volume 20, Issue 4, Page 769-772, 1997., 1997 In 1969 Mocanu [1] introduced and studied a new class of analytic functions consisting of α‐convex functions. Many mathematicians have studied and shown the properties of this class. Now we will define new classes like that Mocanu class and then investigate and give some results.
Seiichi Fukui
wiley +1 more source
Applications of the Owa-Srivastava Operator to the Class of K-Uniformly Convex Functions [PDF]
, 2006 2000 Mathematics Subject Classification: Primary 30C45, 26A33; Secondary 33C15By making use of the fractional differential operator Ω^λz (0 ≤ λ < 1) due to Owa and Srivastava, a new subclass of univalent functions denoted by k−SPλ (0 ≤ k < ∞) is ...
Gochhayat, P., Mishra, A. K.
core