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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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New subclasses of bi-univalent functions
Applied Mathematics Letters, 2011 In this paper, we introduce two new subclasses of the function class Σ of bi-univalent functions defined in the open unit disc.
Basem Aref Frasin
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, 2011 Bu tez beş bölümden oluşmaktadır. Birinci bölümde tezin amacı, kaynaklar veunivalent fonksiyonlar hakkında genel bilgiler verilmiştir. İkinci bölümde komplekstrigonometrik bağıntılar, kompleks türevler, kompleks integraller ile ilgili bilgilerverilmiştir.
Cihangiroğlu, Mine
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On the univalence of functions with logharmonic laplacian
Applied Mathematics and Computation, 2009zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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On the zeros of univalent functions with univalent derivatives
Annali di Matematica Pura ed Applicata, 1979A family, E, consisting of normalised univalent functions with univalent derivatives is studied with regard to the zeros of these functions.
Shah, Swarupchand M., Trimble, Selden Y.
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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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On Univalent Functions With Real Coefficients
The Annals of Mathematics, 1960Mit Hilfe seines allgemeinen Koeffizientensatzes erhält der Verf. wichtige Ergebnisse über die Klasse \( S_{R} \) der im Einheitskreis \( E \) regulären und schlichten Funktionen \( f(z) \) mit der Normierung \( f(0)=0 \) und \( f^{\prime}(0)=1 \), deren Taylorsche Entwicklung um \( z=0 \) reelle Koeffizienten hat.
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On univalent functions with negative coefficients
Applied Mathematics and Computation, 2007zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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