Dergiler / Turkish Journal of Mathematics / 2007 / Cilt: 31 - Sayı: 2

An investigation on a subclass of p- valently starlike functions in the unit disc

Sayfa
221–228
Yayın Tarihi
2022-11-05
DOI
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The aim of this paper is to give a representation theorem, a distortion theorem and a coefficient inequality for the class $M_p(alpha)$.

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Amaç & Hipotez:Let $A_p$ denote the class of functions of the form f(z) = $z^p+a_{p+1}z^{p+1}+a_{p+2}z^{p+2}+· · ·$ which are regular and p-valent in the open unit disc D = {z : |z| 1)$.
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Temel Bulgular & Veri:Let $A_p$ denote the class of functions of the form f(z) = $z^p+a_{p+1}z^{p+1}+a_{p+2}z^{p+2}+· · ·$ which are regular and p-valent in the open unit disc D = {z : |z| 1)$.
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Sonuç & Katkı:The aim of this paper is to give a representation theorem, a distortion theorem and a coefficient inequality for the class $M_p(alpha)$.
🔬Tür:Araştırma Makalesi
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Alan Parametreleri

Abstract

Let $A_p$ denote the class of functions of the form f(z) = $z^p+a_{p+1}z^{p+1}+a_{p+2}z^{p+2}+· · ·$ which are regular and p-valent in the open unit disc D = {z : |z| 1)$. The aim of this paper is to give a representation theorem, a distortion theorem and a coefficient inequality for the class $M_p(alpha)$.

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Bu Makaleye Atıf Yap

POLATOĞLU, Y., BOLCAL, M., ŞEN, A., YAVUZ, E. (2022). An investigation on a subclass of p- valently starlike functions in the unit disc. Turkish Journal of Mathematics, Cilt: 31 - Sayı: 2, 221–228. https://ajindex.com/articles/608632

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Kaynakça (5)

  1. Goodman, A.W.: An invitation to the study of univalent and multivalent functions. Internal. J. Math. and Math. Sci. 2, 163-186 (1979)
  2. Jack, I.S.: Functions starlike and convex of order $alpha$. J. London Math. Soc. 3, 469-474 (1971)
  3. Nunokawa, M.: A sufficient condition for univalence and starlikeness, Proc. Japan, Acad. Ser a Math. Sci. 65, 163-164 (1989)
  4. Owa, S. and Srivastava, H.M.: Some generalized convolution properties associated with certain subclasses of analytic functions, J. Ineg. Pure Appl. Math. 3(3) (2002)
  5. Owa, S. and Srivastava, H.M.: Current topics in analytic function theory, Singapore, World Scientific, 1972.