Research Article

Faber Polynomial Coefficient Estimates for Analytic Bi-Close-to-Convex Functions Defined by Subordination

Volume: 32 Number: 2 June 1, 2019
EN

Faber Polynomial Coefficient Estimates for Analytic Bi-Close-to-Convex Functions Defined by Subordination

Abstract

In this work, the Faber polynomial expansions and a different method were employed to estimate the  coefficients of a subclass of bi-close-to-convex functions, which is introduced by subordination concept in the open unit disk. Further, we generalize some of the previous outcomes. 

Keywords

References

  1. Reference1 H. Airault and A. Bouali, Differential calculus on the Faber polynomials, Bull. Sci. Math., 130 (2006) 179-222.
  2. Reference2 H. Airault and J. Ren, An algebra of differential operators and generating functions on the set of univalent functions, Bull. Sci. Math., 126 (2002) 343-367.
  3. Reference3 H. Airault and A. Bouali, Differential calculus on the Faber polynomials, Bull. Sci. Math., 130 (2006) 179-222.
  4. Reference4 R. M. Ali, S. K. Lee, V. Ravichandran and S. Subramaniam, Coefficient estimates for bi-univalent Ma-Minda starlike and convex functions, Appl. Math. Lett., 25 (2012) 344-351.
  5. Reference5 S. Bulut, Faber polynomial coefficient estimates for a comprehensive subclass of analytic bi-univalent functions, C. R. Acad. Sci. Paris, 352 (2014) 479-484.
  6. Reference6 P. L. Duren, Univalent Functions, Springer-Verlag, New York, Berlin, 1983.
  7. Reference7 G. Faber, Uber polynomische Entwickelungen, Math. Ann., 57 (1903) 389-408.
  8. Reference8 B. A. Frasin and M. K. Aouf, New subclasses of bi-univalent functions, Appl. Math. Lett., 24 (2011) 1569-1573.

Details

Primary Language

English

Subjects

Engineering

Journal Section

Research Article

Authors

Ebrahim Analouei Adegani *
Shahrood University of Technology
Iran

Ahmad Zıreh This is me

Mostafa Jafarı This is me

Publication Date

June 1, 2019

Submission Date

December 24, 2017

Acceptance Date

January 7, 2019

Published in Issue

Year 2019 Volume: 32 Number: 2

APA
Analouei Adegani, E., Zıreh, A., & Jafarı, M. (2019). Faber Polynomial Coefficient Estimates for Analytic Bi-Close-to-Convex Functions Defined by Subordination. Gazi University Journal of Science, 32(2), 637-647. https://izlik.org/JA73GT57DX
AMA
1.Analouei Adegani E, Zıreh A, Jafarı M. Faber Polynomial Coefficient Estimates for Analytic Bi-Close-to-Convex Functions Defined by Subordination. Gazi University Journal of Science. 2019;32(2):637-647. https://izlik.org/JA73GT57DX
Chicago
Analouei Adegani, Ebrahim, Ahmad Zıreh, and Mostafa Jafarı. 2019. “Faber Polynomial Coefficient Estimates for Analytic Bi-Close-to-Convex Functions Defined by Subordination”. Gazi University Journal of Science 32 (2): 637-47. https://izlik.org/JA73GT57DX.
EndNote
Analouei Adegani E, Zıreh A, Jafarı M (June 1, 2019) Faber Polynomial Coefficient Estimates for Analytic Bi-Close-to-Convex Functions Defined by Subordination. Gazi University Journal of Science 32 2 637–647.
IEEE
[1]E. Analouei Adegani, A. Zıreh, and M. Jafarı, “Faber Polynomial Coefficient Estimates for Analytic Bi-Close-to-Convex Functions Defined by Subordination”, Gazi University Journal of Science, vol. 32, no. 2, pp. 637–647, June 2019, [Online]. Available: https://izlik.org/JA73GT57DX
ISNAD
Analouei Adegani, Ebrahim - Zıreh, Ahmad - Jafarı, Mostafa. “Faber Polynomial Coefficient Estimates for Analytic Bi-Close-to-Convex Functions Defined by Subordination”. Gazi University Journal of Science 32/2 (June 1, 2019): 637-647. https://izlik.org/JA73GT57DX.
JAMA
1.Analouei Adegani E, Zıreh A, Jafarı M. Faber Polynomial Coefficient Estimates for Analytic Bi-Close-to-Convex Functions Defined by Subordination. Gazi University Journal of Science. 2019;32:637–647.
MLA
Analouei Adegani, Ebrahim, et al. “Faber Polynomial Coefficient Estimates for Analytic Bi-Close-to-Convex Functions Defined by Subordination”. Gazi University Journal of Science, vol. 32, no. 2, June 2019, pp. 637-4, https://izlik.org/JA73GT57DX.
Vancouver
1.Ebrahim Analouei Adegani, Ahmad Zıreh, Mostafa Jafarı. Faber Polynomial Coefficient Estimates for Analytic Bi-Close-to-Convex Functions Defined by Subordination. Gazi University Journal of Science [Internet]. 2019 Jun. 1;32(2):637-4. Available from: https://izlik.org/JA73GT57DX