Search Results - "Computational methods and function theory"

Sharp Bounds for the Weighted Hölder Mean of the Zero-Balanced Generalized Complete Elliptic Integrals by Zhao, Tie-Hong, He, Zai-Yin, Chu, Yu-Ming

“…In the article, we present the best possible bounds for the weighted Hölder mean of the zero-balanced generalized complete elliptic integrals of the first and…”
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Sharp Power Mean Inequalities for the Generalized Elliptic Integral of the First Kind by Wang, Miao-Kun, He, Zai-Yin, Chu, Yu-Ming

“…We establish two sharp inequalities involving the power mean and generalized elliptic integral of the first kind. As applications, the analogous inequalities…”
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Inequalities for Generalized Grötzsch Ring Function by Zhao, Tie-Hong, Bhayo, Barkat Ali, Chu, Yu-Ming

“…In this paper, we deal with the generalized Grötzsch ring function μ a ( r ) for r ∈ ( 0 , 1 ) in the theory of the Ramanujan generalized modular equation and…”
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Numerical Conformal Mapping with Rational Functions by Trefethen, Lloyd N.

“…New algorithms are presented for numerical conformal mapping based on rational approximations and the solution of Dirichlet problems by least-squares fitting…”
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On the Fourth Coefficient of Functions in the Carathéodory Class by Kwon, Oh Sang, Lecko, Adam, Sim, Young Jae

“…In the present paper, a formula for the fourth coefficient of Carathéodory functions was computed…”
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Bohr Inequality for Odd Analytic Functions by Kayumov, Ilgiz R, Ponnusamy, Saminathan

“…We determine the Bohr radius for the class of odd functions f satisfying | f ( z ) | ≤ 1 for all | z | < 1 , solving the recent problem of Ali et al. (J Math…”
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Planar Equilibrium Measure Problem in the Quadratic Fields with a Point Charge by Byun, Sung-Soo

“…We consider a two-dimensional equilibrium measure problem under the presence of quadratic potentials with a point charge and derive the explicit shape of the…”
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Successive Logarithmic Coefficients of Univalent Functions by Lecko, Adam, Partyka, Dariusz

“…The paper deals with logarithmic coefficients of univalent functions. The sharp lower and upper estimations of | γ 2 ( f ) | - | γ 1 ( f ) | were obtained in…”
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Invariance of Iterated Global Differential Operator for Slice Monogenic Functions by Ding, Chao, Xu, Zhenghua

“…In this article, we present the symmetry group of a global slice Dirac operator and its iterated ones. Further, the explicit forms of intertwining operators of…”
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A Cesàro-like Operator from Besov Spaces to Some Spaces of Analytic Functions by Sun, Fangmei, Ye, Fangqin, Zhou, Liuchang

“…In this paper, for p>1 and s>1, we characterize completely the boundedness and compactness of a Cesàro-like operator from the Besov space Bp into a Banach…”
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Bohr Type Inequalities for Functions with a Multiple Zero at the Origin by Ponnusamy, S., Wirths, K.-J.

“…Recently, there has been a number of good deal of research on the Bohr’s phenomenon in various settings including a refined formulation of his classical…”
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A New Metric Associated with the Domain Boundary: A New Metric Associated with the Domain Boundary by Song, Xingchen, Wang, Gendi

“…In this paper, we introduce a new metric c ~ which is associated with the domain boundary for a Ptolemy space ( X ,  d ). Moreover, we study inclusion…”
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Hilbert-Type Operators Acting on Bergman Spaces: Hilbert-Type Operators Acting on Bergman Spaces by Aguilar-Hernández, Tanausú, Galanopoulos, Petros, Girela, Daniel

“…If μ is a positive Borel measure on the interval [0, 1) we let H μ be the Hankel matrix H μ = ( μ n , k ) n , k ≥ 0 with entries μ n , k = μ n + k , where, for…”
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On the Linear Dilatation of the Mappings Satisfying an Inverse Poletsky Modular Inequality in Metric Spaces by Cristea, Mihai

“…We study the linear dilatation of the mappings satisfying an inverse Poletsky inequality in metric spaces. We also show that under certain conditions such…”
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Entire Solutions of Certain Type Binomial Differential Equations by Yang, Shuang-Shuang, Liao, Liang-Wen, Lu, Xiao-Qing

“…Inspired by the questions Gundersen and Yang proposed, we investigate the exact forms of the entire solutions of the following two types of binomial…”
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Geometrical and Computational Properties of the Generalized Struve Functions by Zayed, Hanaa M., Agarwal, Praveen

“…The normalization of the generalized Struve functions Hρ,r(z)(ρ,r∈C) defined by Hρ,r(z)=∑n=0∞(-r)n4n32nρnzn,was introduced previously and some of its geometric…”
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Distortion, Radius of Concavity and Several Other Radii Results for Certain Classes of Functions by Bhowmik, Bappaditya, Biswas, Souvik

“…Let S(p) be the class of all meromorphic univalent functions defined in the unit disc D of the complex plane with a simple pole at z=p and normalized by the…”
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Near-Circularity in Capacity and Maximally Convergent Polynomials by Blatt, Hans-Peter

“…If f is a power series with radius R of convergence, $$R > 1$$ R > 1 , it is well-known that the method of Carathéodory–Fejér constructs polynomial…”
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Composition Operators on Sobolev Spaces and Q-Homeomorphisms by Menovschikov, Alexander, Ukhlov, Alexander

“…In this paper, we give connections between mappings which generate bounded composition operators on Sobolev spaces and Q -mappings. Based on this, we obtain…”
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Boundary Traces of Holomorphic Functions on the Unit Ball in Cn: Boundary Traces of Holomorphic by Gryc, William E.

“…It is a classical theorem that if a function on the unit circle is integrable, then it is the nontangential limit of a holomorphic function on the open disc…”
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