A certain subclass of P-valently analytic functions of bazilevi?c type

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Tarih

2009

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Maltepe Üniversitesi

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CC0 1.0 Universal
info:eu-repo/semantics/openAccess

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Özet

Using extended Ruscheweyh [2] derivatives we define a new subclass M(n, p, ?, ?) of p-valently analytic functions which are of Bazilevi?c [1] type. A function f which is p-valently analytic is said to be in the subclass M(n, p, ?, ?) if it satisfies Re à pDn+p f(z) Dn+p?1f(z) à Dn+p?1 f(z) z p !?! > ? where z ? U, U = {z : |z| < 1}, ? > 0 and 0 ? ? < p. Dn+p f(z) and Dn+p?1 f(z) are extensions of the familiar operator Dnf(z) of Ruscheweyh Derivatives [2], n ? N0 = N ? {0}. These operators were considered by Sekine, Owa and Obradovic [3]. We find some sufficient conditions and angular properties for functions belonging to the subclass M(n, p, ?, ?).

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International Conference of Mathematical Sciences

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Künye

Akbarally, A. ve Darus, M. (2009). A certain subclass of P-valently analytic functions of bazilevi?c type. Maltepe Üniversitesi. s. 77.