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Dergiler / Turkish Journal of Mathematics / 2013 / Cilt: 37 - Sayı: 3

Growth and distortion theorems for multivalent Janowski close-to-convex harmonic functions with shear construction method

Yaşar POLATOĞLU
Hatice Esra ÖZKAN
Emel DUMAN YAVUZ
Sayfa
437–444
Yayın Tarihi
2022-11-05
DOI
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⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

Our study is based on the harmonic shear methods for harmonic functions.

📌 3 Maddede Bu Makale

🎯
Amaç & Hipotez:In this paper we introduce the class of m-valent Janowski close to convex harmonic functions.
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Temel Bulgular & Veri:Growth and distortion theorems are obtained for this class.
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Sonuç & Katkı:Our study is based on the harmonic shear methods for harmonic functions.
🔬Tür:Araştırma Makalesi
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Multivalent harmonic functions · distortion theorem · growth theorem

Özet

In this paper we introduce the class of m-valent Janowski close to convex harmonic functions. Growth and distortion theorems are obtained for this class. Our study is based on the harmonic shear methods for harmonic functions.

Abstract

In this paper we introduce the class of m-valent Janowski close to convex harmonic functions. Growth and distortion theorems are obtained for this class. Our study is based on the harmonic shear methods for harmonic functions.

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Bu Makaleye Atıf Yap

POLATOĞLU, Y., ÖZKAN, H. E., YAVUZ, E. D. (2022). Growth and distortion theorems for multivalent Janowski close-to-convex harmonic functions with shear construction method. Turkish Journal of Mathematics, Cilt: 37 - Sayı: 3, 437–444. https://ajindex.com/articles/608327

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Kaynakça (6)

  1. Ahlfors, L.V.: Lectures on Quasiconformal Mappings, Van Nostrand-Reinhold, Princeton, New Jersey. 1966.
  2. Aouf, M.K.: On a class of p-valent starlike functions of order α. Internat. J. Math. & Math. Sci. 10, 733-744 (1987).
  3. Clunie, J. Sheil-Small, T.: Harmonic univalent functions. Ann. Acad. Sci. Fenn. Ser. A.1 9, 3-25 (1984).
  4. Duren, P.: Harmonic Mappings in the Plane. Cambridge University Press - New York 2004.
  5. Goodman, A.W.: Univalent Functions. Tampa, Florida. Mariner Publishing Company Inc. 1983.
  6. Janowski, W.: Some extremal problems for certain families of analytic functions I. Ann. Polinici Mathematici. XXVIII, 297-326 (1973).