Results 41 to 50 of about 5,274 (174)

Argument and Coefficient Estimates for Certain Analytic Functions

Mathematics, 2020
The aim of the present paper is to introduce a new class G α , δ of analytic functions in the open unit disk and to study some properties associated with strong starlikeness and close-to-convexity for the class G α , δ
Davood Alimohammadi, Nak Eun Cho, Ebrahim Analouei Adegani, Ahmad Motamednezhad   +3 more
doaj   +1 more source

Bounds for the Second Hankel Determinant of Certain Univalent Functions

, 2013
The estimates for the second Hankel determinant a_2a_4-a_3^2 of analytic function f(z)=z+a_2 z^2+a_3 z^3+...b for which either zf'(z)/f(z) or 1+zf"(z)/f'(z) is subordinate to certain analytic function are investigated.
Keong, Lee See, Ravichandran, V., Supramaniam, Shamani   +2 more
core   +1 more source

A New Roper-Suffridge Extension Operator on a Reinhardt Domain

Abstract and Applied Analysis, 2011
We introduce a new Roper-Suffridge extension operator on the following Reinhardt domain given by where f is a normalized locally biholomorphic function on the unit disc D, pj are positive integer, aj are complex ...
Jianfei Wang, Cailing Gao
doaj   +1 more source

Slice Starlike Functions Over Quaternions [PDF]

The Journal of Geometric Analysis, 2018
25 ...
Xu, Zhenghua, Ren, Guangbin
openaire   +3 more sources

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., Jain, Naveen, Ravichandran, V.   +2 more
core   +1 more source

Spirallikeness of shifted hypergeometric functions

, 2016
In the present paper, we study spirallikenss (including starlikeness) of the shifted hypergeometric function $f(z)=z_2F_1(a,b;c;z)$ with complex parameters $a,b,c,$ where $_2F_1(a,b;c;z)$ stands for the Gaussian hypergeometric function. First, we observe
Sugawa, Toshiyuki, Wang, Li-Mei
core   +1 more source

Multivalent Harmonic Uniformly Starlike Functions [PDF]

Kyungpook mathematical journal, 2009
Summary: We investigate a family of generalized complex-valued harmonic functions that are multivalent, sense-preserving, and which are associated with \(k\)-uniformly harmonic functions in the unit disk. The obtained results include a number of known and new results as special cases.
Ahuja, Om, Joshi, Santosh, Sangle, Naveneet   +2 more
openaire   +2 more sources

Double Integral Operators Concerning Starlike of Order β

International Journal of Differential Equations, 2009
Double integral operators which were considered by S. S. Miller and P. T. Mocanu (Integral Transform. Spec. Funct. 19(2008), 591–597) are discussed. In order to show the analytic function f(z) is starlike of order β in the open unit disk 𝕌, the ...
Kazuo Kuroki, Shigeyoshi Owa
doaj   +1 more source

q-STARLIKE FUNCTIONS OF ORDER ALPHA

TWMS Journal of Applied and Engineering Mathematics, 2018
Summary: For all \(q\in(0,1)\) and \(0\leq ...
Uçar, Faruk, Yılmaz, Bülent, POLATOĞLU, YAŞAR   +2 more
openaire   +7 more sources

Hankel and Toeplitz Determinants for q-Starlike Functions Involving a q-Analog Integral Operator and q-Exponential Function

Journal of Function Spaces
This article investigates the upper bounds of the second Hankel and Toeplitz determinants for a family of q-starlike functions defined by a q-analog integral operator, which is a more general form of the q-Srivastava-Attiya operator, and the q ...
Sarem H. Hadi, Maslina Darus, Rabha W. Ibrahim   +2 more
doaj   +1 more source