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New characterization of the class of starlike functions

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For analytic functions f(z) in the open unit disc D, an operator Nα(f(z)) relating with starlike functions is introduced. The object of the present paper is to discuss some properties of the operator Nα(f(z)).

Abstract

For analytic functions f(z) in the open unit disc D, an operator Nα(f(z)) relating with starlike functions is introduced. The object of the present paper is to discuss some properties of the operator Nα(f(z)).

참고문헌 (3)

  1. C. Carath´eodory, "¨ Uberden Variabilit¨atsbereich der Fourier’schen Konstanten von Positiven Harmonischen Funktionen", Rendiconti del Circolo Matematico di Palermo, 32, pp.193~217 (1911)
  2. P. L. Duren, "Univalent Functions" (1983), Springer-Verlag
  3. A. W. Goodman, "Univalent Functions, Vol. I" (1983), Mariner Publishing Co., Inc.

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