Dergiler / Turkish Journal of Mathematics / 2021 / Cilt: 45 - Sayı: 4

On Sense of Yamakawa family of meromorphic bi-univalent and bi-subordinate functions

Sayfa
1887–1898
Yayın Tarihi
2022-11-01
DOI
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⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

We also point out some closely related cases for our results.

📌 3 Maddede Bu Makale

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Amaç & Hipotez:This study offers three different univalent function families of bi-meromorphic and bi-subordinate functions defined on Δ = {z : z ∈ C, 1 < |z| < ∞}.
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Temel Bulgular & Veri:The estimations of the first three coefficients |b0| , |b1| , |b2| and extra |b0b1 + 2b2| are obtained for the functions of these families.
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Sonuç & Katkı:We also point out some closely related cases for our results.
🔬Tür:Araştırma Makalesi
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Alan Parametreleri

Abstract

This study offers three different univalent function families of bi-meromorphic and bi-subordinate functions defined on Δ = {z : z ∈ C, 1 < |z| < ∞}. The estimations of the first three coefficients |b0| , |b1| , |b2| and extra |b0b1 + 2b2| are obtained for the functions of these families. We also point out some closely related cases for our results.

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Bu Makaleye Atıf Yap

SAKAR, F. M. (2022). On Sense of Yamakawa family of meromorphic bi-univalent and bi-subordinate functions. Turkish Journal of Mathematics, Cilt: 45 - Sayı: 4, 1887–1898. https://ajindex.com/articles/607390

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Kaynakça (2)

  1. 1] Akgül A, Sakar FM. A certain subclass of bi-univalent analytic functions introduced by means of the q -analogue of Noor integral operator and Horadam polynomials. Turkish Journal of Mathematics 2019; 43: 2275 – 2286. [2] Altınkaya S, Yalçın S. Initial coefficient bounds for a general class of biunivalent functions. International Journal of Analysis 2014; Article ID 867871: 1-4. [3] Brannan DA, Clunie JG. Aspects of contemporary complex analysis, in:Proceedings of the NATO Advanced Study Institute held in Durham, England, August 26 September 1974; 6: Academic Press,
  2. New York, NY, USA, 1979. [4] Bulut S. Coefficient estimates for a class of analytic and bi-univalent functions. Novi Sad Journal of Mathematics 2013; 2: 59-65. [5] Duren PL. Coefficient of meromorphic schlicht functions. Proceedings of the American Mathematical Society 1971; 28: 169-172. [6] Frasin BA, Aouf MK. New subclasses of bi-univalent functions. Applied Mathematics Letters 2011; 24: 1569-1573. [7] Jahangiri JM, Hamidi SG. Coefficient estimates for certain classes of bi-univalent functions. International Journal of Mathematics and Mathematical Sciences 2013; Article ID 190560: 1-4. [8] Kapoor GP, Mishra AK. Coefficient estimates for inverses of starlike functions of positive order. Journal of Mathematical Analysis and Applications 2007; 329: 922-934. [9] Kubota Y. Coefficients of meromorphic univalent functions. Kodai Mathematical Seminar Reports 1977; 28: 253- 261. [10] Patricio A.A. Laura, A survey of modern applications of the method of conformal mapping. Revista de la Unión Matemática Argentina 1975; 27: 167-179. [11] Lewin M. On a coefficient problem for bi-univalent functions. Proceedings of the American Mathematical Society 1967; 18: 63-68. [12] Mishra AK, Panigrahi T, Mishra RK. Subordination and inclusion theorems for subclasses of meromorphic functions with applications to electromagnetic cloaking. Mathematical and Computer Modelling 2013; 57: 945-962. [13] Pommerenke C. Univalent Functions. Vandenhoeck-Ruprecht, Göttingen, Germany, 1975. [14] Siregar S, Mohammed Pauzi MN, Darus M. Coefficient bounds for subclass of m-fold symmetric bi-univalent functions sense of Yamakawa. IOP Conference Series: Journal of Physics: Conference Series, 2019; 1212: 012004. [15] Sakar FM. Estimating coefficients for certain subclasses of meromorphic and bi-univalent functions. Journal of Inequalities and Applications 2018; 2018: 283. [16] Schiffer M. Sur un problème dèxtrèmum de la reprèsentation