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A note on Bazilevic functions(Topics in Univalent Functions and Its Applications)
D.K. Thomas
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Berezin Quantization, Conformal Welding and the Bott-Virasoro Group. [PDF]
Alekseev A, Shatashvili S, Takhtajan L.
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Apomixis at high resolution: unravelling diplospory in Asteraceae. [PDF]
Cornaro L +6 more
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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. +2 more
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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. +2 more
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Smooth univalent universal functions
Mathematical Proceedings of the Royal Irish Academy, 2007Let \(\Omega\) 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. +2 more
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New Criteria for Univalent Functions
Proceedings of the American Mathematical Society, 1975The 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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On univalent harmonic functions
2002In 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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