Results 41 to 50 of about 1,238 (216)
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
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 +3 more
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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
An integral operator on the classes \(\mathcal{S}^{\ast}(\alpha )\) and \(\mathcal{CVH}(\beta )\)
, 2015 The purpose of this paper is to study some properties related to convexity order and coefficients estimation for a general integral operator. We find the convexity order for this operator, using the analytic functions from the class of starlike functions
Ularu, Nicoleta, Breaz, Nicoleta
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On the coefficients of starlike functions [PDF]
Proceedings of the American Mathematical Society, 1972 Every probability measure μ \mu on the
openaire +2 more sources
On a Subclass of Starlike Functions
Rocky Mountain Journal of Mathematics, 1994 Let \(A\) denote the class of functions \(f(z)= z+ \sum^ \infty_{k= 2} a_ k z^ k\) analytic in the unit disk \(D\), \(S\) and \(S^*\) denote the usual subclasses of univalent and starlike functions. For \(\beta< 1\) let \[ R(\beta)= \{ f\in A: \text{Re}(f'(z)+ zf''(z))> \beta,\;z\in D\}\text{ and } \beta_{S^*}= \inf\{\beta: R(\beta)\subset S^*\}. \] In
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Coefficients Of The Inverse Of Strongly Starlike Functions. [PDF]
, 2003 For the class of strongly starlike functions, sharp bounds on the first four coefficients of the inverse functions are determined. A sharp estimate for the Fekete-Szego coefficient functional is also obtained.
M. Ali, Roslhan
core
Droplet friction on superhydrophobic surfaces
Droplet, Volume 5, Issue 2, April 2026.By developing an experimental setup that simultaneously measures the friction force, macroscopic shape profile, and the macro‐ and microscopic contact line dynamics of a laterally sliding droplet, this study establishes an analytical model that predicts droplet friction on pillared superhydrophobic surfaces relying only on surface geometrical ...
Youhua Jiang, Chuanqi Wei
wiley +1 more source
Univalent and Starlike Generalized Hypergeometric Functions
, 1987 A single-valued function f(z) is said to be univalent in a domain if it never takes on the same value twice, that is, if f(z1) = f(z2) for implies that z1 = z2.
Shigeyoshi Owa, H. M. Srivastava
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The Coefficients Of Functions With Positive Real Part And Some Special Classes Of Univalent Functions. [PDF]
, 2003 Several special classes of univalent functions f in the unit disk U are characterized by the quantity zf'(z)/ f (z) lies in a given region in the right-half plane.
M. Ali, Rosihan
core