Results 81 to 90 of about 13,123 (205)

Univalent functions with univalent derivatives [PDF]

Bulletin of the American Mathematical Society, 1969
Shah, S. M., Trimble, S. Y.
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Towards univalent reference types

, 2023
We develop a denotational semantics for general reference types in an impredicative version of guarded homotopy type theory, an adaptation of synthetic guarded domain theory to Voevodsky's univalent foundations. We observe for the first time the profound
Birkedal, Lars, Sterling, Jonathan, Gratzer, Daniel   +2 more
core  

On the properties of a class of polyharmonic functions

Mathematical Modelling and Analysis, 2013
The aim of this paper is to investigate some motivated geometrical aspects and properties of polyharmonic functions (PH) including starlikeness, convexity and univalence. A polyharmonicity preserving complex operator is also introduced.
Suheil Khuri
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Birth of the theory of univalent functions

, 1998
"Univalent" is the complex analyst's term for "one-to-one" functions. A univalent function has a non-vanishing derivative. Riemann Mapping Theorem stated in 1851 could not find some interesting applications until P.
Lam, Hwee Peng
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SOME UNIVALENCE CRITERIA

Demonstratio Mathematica, 2002
Let \(A\) denote the class of all analytic functions \(f(z)\) defined in the open unit disc of the complex plane and normalized by \(f(0)= 0\), \(f'(0)= 1\). Let \(S\) denote the subclass of \(A\) consisting of univalent functions. In this paper the authors prove that if \(f\in A\) with \[ \text{Re}\Biggl\{e^{i\theta} {zf''(z)\over f'(z)}\Biggr\}\leq{1\
Blezu, Dorin, Pascu, Nicolae N.
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An Application of Liouville–Caputo-Type Fractional Derivatives on Certain Subclasses of Bi-Univalent Functions

Fractal and Fractional
In this study, we present two novel subclasses of bi-univalent functions defined in the open unit disk, utilizing Liouville–Caputo fractional derivatives.
Ibtisam Aldawish, Hari M. Srivastava, Sheza M. El-Deeb, Gangadharan Murugusundaramoorthy, Kaliappan Vijaya   +4 more
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Some Remarks on Ozaki, Ono and Umezawa’s Results

Mathematics
Recall that in On a general second order derivative, Sci. Rep. Tokyo Kyoiku Daigaku A, 5(124–127)(1956), 111–114, Ozaki, Ono and Umezawa proved a result that if f(z) is analytic and satisfies |f″(z)|
Mamoru Nunokawa, Hitoshi Saitoh, Janusz Sokół, Edyta Trybucka   +3 more
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Inclusive Subfamilies of Complex Order Generated by Liouville–Caputo-Type Fractional Derivatives and Horadam Polynomials

Fractal and Fractional
In this paper, we introduce the inclusive subfamilies of complex order E(δ1,δ2,δ3,δ4,a,b) and C(δ1,δ2,δ3,δ4,a,b), defined by means of the Liouville–Caputo-type derivative operator and subordination to the Horadam polynomials.
Feras Yousef, Tariq Al-Hawary, Basem Frasin, Amerah Alameer   +3 more
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Towards univalent reference types [PDF]

We develop a denotational semantics for general reference types in an impredicative version of guarded homotopy type theory, an adaptation of synthetic guarded domain theory to Voevodsky's univalent foundations. We observe for the first time the profound

core   +2 more sources

Analytic functions over valued fields

International Journal of Mathematics and Mathematical Sciences, 1990
Let K be a non-archimedean, non-trivially (rank 1) valued complete field. B, B0 denote the closed and open unit ball of K respectively. Necessary and sufficient conditions for analytic functions defined on B, B0 with values in K to be injective ...
R. Bhaskaran, V. Karunakaran
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