Dergiler / Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics / 2005 / Cilt: 54 - Sayı: 01

New criteria for meromorphic convex functions

Sayfa
1–1
Yayın Tarihi
2005-01-01
DOI
—
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Further property preserviug integrals are considered.

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Amaç & Hipotez:Let Q (a) be the class of functions of the form f (z) = 1 + a.k z k (a -! 0) z *=o which are regular in the punctured disc U* = {z : 0 < |z| < 1} and satisfy- ing and n € No — {0,1,2,...}, where D n f (z) = + Y 'fc n a fc_2 zfc- 2 . z fc=2 It is proved that Qn+ı (a) C Qn (a).
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Temel Bulgular & Veri:Since Qo (a) is the class of meromor- plıically convex functions of order a(0 < a < 1) the members of Qn (a) are nıeromorfically convex .
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Sonuç & Katkı:Further property preserviug integrals are considered.
🔬Tür:Araştırma Makalesi
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:meromorphic · functions · convex

Abstract

Let Q (a) be the class of functions of the form f (z) = 1 + a.k z k (a -! 0) z *=o which are regular in the punctured disc U* = {z : 0 < |z| < 1} and satisfy- ing and n € No — {0,1,2,...}, where D n f (z) = + Y 'fc n a fc_2 zfc- 2 . z fc=2 It is proved that Qn+ı (a) C Qn (a). Since Qo (a) is the class of meromor- plıically convex functions of order a(0 < a < 1) the members of Qn (a) are nıeromorfically convex . Further property preserviug integrals are considered.

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Bu Makaleye Atıf Yap

AOUF, M. K. (2005). New criteria for meromorphic convex functions. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, Cilt: 54 - Sayı: 01, 1–1. https://ajindex.com/articles/747537

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  1. Communications, Series A1:Mathematics and Statistics