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Dergiler / Hacettepe Journal of Mathematics and Statistics / 2019 / Cilt: 48 - Sayı: 2

Coefficient estimates for m-fold symmetric bi-subordinate functions

Ebrahim A. Adegani
Samaneh G. Hamidi
Jay M. Jahangiri
Ahmad Zireh
Sayfa
365–371
Yayın Tarihi
2022-10-18
DOI
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⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

We also determine bounds for the first two coefficients of such functions with no restrictions imposed.

📌 3 Maddede Bu Makale

🎯
Amaç & Hipotez:A function is said to be bi-univalent in the open unit disk U if both the function and its inverse map are univalent in U.
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Temel Bulgular & Veri:In this paper, we consider the m-fold symmtric transform of such functions and use their Faber polynomial expansions to find upper bounds for their n-th (n ≥ 3) coefficients subject to a given gap series condition.
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Sonuç & Katkı:We also determine bounds for the first two coefficients of such functions with no restrictions imposed.
🔬Tür:Araştırma Makalesi
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Alan Parametreleri

Abstract

A function is said to be bi-univalent in the open unit disk U if both the function and its inverse map are univalent in U. By the same token, a function is said to be bisubordinate in U if both the function and its inverse map are subordinate to a given function in U. In this paper, we consider the m-fold symmtric transform of such functions and use their Faber polynomial expansions to find upper bounds for their n-th (n ≥ 3) coefficients subject to a given gap series condition. We also determine bounds for the first two coefficients of such functions with no restrictions imposed.

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Bu Makaleye Atıf Yap

Adegani, E. A., Hamidi, S. G., Jahangiri, J. M., Zireh, A. (2022). Coefficient estimates for m-fold symmetric bi-subordinate functions. Hacettepe Journal of Mathematics and Statistics, Cilt: 48 - Sayı: 2, 365–371. https://ajindex.com/articles/529778

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Kaynakça (12)

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