Results 31 to 40 of about 7,251 (222)
On the Gakhov Equation for the Biernacki Operator [PDF]
Учёные записки Казанского университета: Серия Физико-математические науки, 2015 The paper establishes the region in the parameter plane such that the image of any starlike function with the zero root of the Gakhov equation under the mapping by the Biernacki operator corresponding to the parameter of this region is found in the ...
A.V. Kazantsev
doaj
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
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 +2 more
core +1 more source
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
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
Slice Starlike Functions Over Quaternions [PDF]
The Journal of Geometric Analysis, 2018 25 ...
Xu, Zhenghua, Ren, Guangbin
openaire +3 more sources
Close-to-convexity of quasihyperbolic and $j$-metric balls
, 2010 We will consider close-to-convexity of the metric balls defined by the quasihyperbolic metric and the $j$-metric. We will show that the $j$-metric balls with small radii are close-to-convex in general subdomains of $\Rn$ and the quasihyperbolic balls ...
Klén, Riku
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 +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
Majorization results for non vanishing analytic functions in different domains
AIMS Mathematics, 2022 In recent years, many authors have studied and investigated majorization results for different subclasses of analytic functions. In this paper, we give some majorization results for certain non vanishing analytic functions, whose ratios are subordinated ...
Huo Tang +4 more
doaj +1 more source