Results 31 to 40 of about 732 (179)
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
Upper bounds of the logarithmic coefficients for some subclasses of analytic functions
Journal of Inequalities and Applications, 2023 Due to the major importance of the study of the logarithmic coefficients for univalent functions, in this paper we find the sharp upper bounds for some expressions associated with logarithmic coefficients of functions that belong to some well-known ...
Ebrahim Analouei Adegani +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
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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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On the coefficients of starlike functions [PDF]
Proceedings of the American Mathematical Society, 1972 Every probability measure μ \mu on the
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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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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
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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
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Journal of Function SpacesThis 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 +2 more
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Starlike and Convex Properties for Hypergeometric Functions
International Journal of Mathematics and Mathematical Sciences, 2008 The purpose of the present paper is to give some characterizations for a (Gaussian) hypergeometric function to be in various subclasses of starlike and convex functions. We also consider an integral operator related to the hypergeometric function.
Oh Sang Kwon, Nak Eun Cho
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