Results 281 to 290 of about 22,022 (323)

On Convex Univalent Functions

Canadian Journal of Mathematics, 1970
In what follows, we suppose that ƒ(z) = Σ0∞anzn is regular for |z| < 1. LetandThen (see, for example, [6, pp. 235-236]), for 0 ≦ r < ρ < 1, we have:The following results are well known.
Başgöze, T., Frank, J. L., Keogh, F. R.   +2 more
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Smooth univalent universal functions

Mathematical Proceedings of the Royal Irish Academy, 2007
Let \(\Omega\) be a Jordan domain in the complex plane. In this paper, universal functions in \(H(\Omega)\) having additional univalence and smoothness properties are studied. The authors consider the space \(A^\infty (\Omega)\) of all functions in \(H(\Omega)\) having the property that all derivatives extend continuously to \(\overline{\Omega}\) with ...
Costakis, G., Nestoridis, V., Vlachou, V.   +2 more
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ON UNIVALENT BLOCH FUNCTIONS

Acta Mathematica Scientia, 2001
Let \(\Delta=\{z:| z|
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New Criteria for Univalent Functions

Proceedings of the American Mathematical Society, 1975
The classes K n {K_n} of functions f ( z ) f(z) regular in the unit disc U \mathfrak {U} with f ( 0 ) = 0 , f ′ ( 0 )
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Univalent Functions

2020
Filippo Bracci, Manuel D. Contreras, Santiago Díaz-Madrigal   +2 more
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On univalent harmonic functions

2002
In Ann. Acad. Sci. Fenn., Ser. A I 9, 3--25 (1984; Zbl 0506.30007) \textit{J. Clunie} and \textit{T. Sheil-Small } introduced and studied the class \(S_H\) of complex valued, harmonic, orientation preserving, univalent functions \(f\) in the unit disk normalized by \(f(0)=0\), \(f'_z(0)-1=0\). Such functions have representation \[ f(z)=h(z)+\overline{g}
Yalçın Tokgöz, Sibel, Öztürk, Metin
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Composition and functions of bacterial membrane vesicles

Nature Reviews Microbiology, 2023
Masanori Toyofuku, Stefan Schild, Maria Kaparakis-Liaskos   +2 more
exaly  

Starlike Univalent Functions

Proceedings of the London Mathematical Society, 1970
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Gene regulation by long non-coding RNAs and its biological functions

Nature Reviews Molecular Cell Biology, 2020
Luisa Statello, Ling-Ling Chen, Maite Huarte   +2 more
exaly  

The expanding regulatory mechanisms and cellular functions of circular RNAs

Nature Reviews Molecular Cell Biology, 2020
Ling-Ling Chen
exaly