Results 41 to 50 of about 517,230 (334)
Some Characterizations of Weighted Holomorphic Function Classes by Univalent Function Classes
Journal of Function Spaces, 2021 Some characterizations of QK,ωp,q− type classes of holomorphic functions by Schwarzian derivatives with known conformal-type mappings are introduced in the present manuscript.
A. El-Sayed Ahmed, S. Omran
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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
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On a class of univalent functions [PDF]
International Journal of Mathematics and Mathematical Sciences, 2000 We consider the class of univalent functions f(z) = z + a3z3 + a4z4 + ⋯ analytic in the unit disc and satisfying |(z2f′(z)/f2(z)) − 1 | < 1, and show that such functions are starlike if they satisfy .
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Demonstratio MathematicaA TT-symmetric univalent function is a complex valued function that is conformally mapping the unit disk onto itself and satisfies the symmetry condition ϕ[T](ζ)=[ϕ(ζT)]1∕T{\phi }^{\left[T]}\left(\zeta )={\left[\phi \left({\zeta }^{T})]}^{1/T} for all ζ ...
Ibrahim Rabha W., Baleanu Dumitru
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Univalence of Bessel functions [PDF]
Proceedings of the American Mathematical Society, 1960 In particular we shall first determine a radius of univalence for the normalized Bessel functions [J,(z) ]1Iv for values of v belonging to the region G defined by the inequalities (i v} >0, I arg v|
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Advanced Engineering Materials, EarlyView.Molecular dynamics simulations are advancing the study of ribonucleic acid (RNA) and RNA‐conjugated molecules. These developments include improvements in force fields, long‐timescale dynamics, and coarse‐grained models, addressing limitations and refining methods.
Kanchan Yadav, Iksoo Jang, Jong Bum Lee
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Prawitz's area theorem and univalence criterion [PDF]
arXiv, 2023 In this note we investigate the Prawitz's area theorem and establish a new univalence criterion for the locally univalent analytic functions in the unit disk, which generalizes some related results of Aharonov [Duke Math. J., 36(1969), 599-604].
arxiv
Applications of Theory of Differential Subordination for Functions with Fixed Initial Coefficient to Univalent Functions [PDF]
Annales Polonici Mathematici, 105 (2012), 225-238, 2012 By using the theory of first-order differential subordination for functions with fixed initial coefficient, several well-known results for subclasses of univalent functions are improved by restricting the functions to have fixed second coefficient. The influence of the second coefficient of univalent functions is evident in the results obtained.
arxiv +1 more source
Hybrid Framework Materials: Next‐Generation Engineering Materials
Advanced Engineering Materials, EarlyView.Hybrid organic–inorganic materials merge the unique properties of organic and inorganic compounds, enabling applications in optoelectronics, gas storage, and catalysis. This review explores metal‐organic frameworks, hybrid organic–inorganic perovskites, and the emerging field of hybrid glasses, emphasizing their structures, functionalities, and ...
Jay McCarron +2 more
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A Problem of Bombieri on Univalent Functions [PDF]
Computational Methods and Function Theory, 2016 The famous Bieberbach Conjecture from 1916 on the coefficients of normalized univalent functions defined in the unit disk that was finally proved by de Branges some 70 years later, drifted many complex analysts attention to other subjects. Those who continued to explore de Branges method and push it as far as possible were not aware of where it may ...
Daoud Bshouty, Dorit Aharonov
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