Journal of applied mathematics & informatics

The Korean Society for Computational and Applied Mathematics (한국전산응용수학회)
권호 표지
DOI QR코드

DOI QR Code

SOME PROPERTIES FOR COMPREHENSIVE SUBCLASS OF BI-UNIVALENT FUNCTIONS

  • AL-HAWARY, TARIQ (Department of Applied Science, Ajloun College, Al-Balqa Applied University)
  • Received : 2021.08.03
  • Accepted : 2022.07.28
  • Published : 2022.09.30
Download PDF
⟨ Previous Next ⟩

Abstract

Herein, we construct a qualitative subclass Bγ(κ, µ, σ) of the class of analytic bi-univalent functions. Next, we explore estimates of the coefficients |aj| (j = 1, 2) and the Fekete-Szegö functional |a3 - ςa22| for functions in this subclass.

Keywords

References

  1. I. Aldawish, T. Al-Hawary and B.A. Frasin, Subclasses of bi-univalent functions defined by Frasin differential operator, Mathematics 8 (2020).
  2. P.L. Duren, Univalent Functions, Grundlehren der Mathematischen Wissenschaften Series, vol. 259, Springer, New York, 1983.
  3. B.A. Frasin, F. Yousef, T. Al-Hawary and I. Aldawish, Application of generalized Bessel functions to classes of analytic functions, Afrika Matematika 32 (2021), 431-439. https://doi.org/10.1007/s13370-020-00835-9
  4. H. Tang, N. Magesh, V.K. Balaji and C. Abirami, Coefficient inequalities for a comprehensive class of bi-univalent functions related with bounded boundary variation, Journal of Inequalities and Applications 1 (2019), 1-9.
  5. K.S. Padmanabhan and R. Parvatham, Properties of a class of functions with bounded boundary rotation, Annales Polonici Mathematici 31 (1975), 311-323. https://doi.org/10.4064/ap-31-3-311-323
  6. H.M. Srivastava, A.K. Mishra and P. Gochhayat, Certain subclasses of analytic and biunivalent functions, Applied Mathematics Letters 23 (2010), 1188-1192. https://doi.org/10.1016/j.aml.2010.05.009
  7. F. Yousef, B.A. Frasin and T. Al-Hawary, Fekete-Szego Inequality for analytic and biunivalent functions subordinate to Chebyshev polynomials, Filomat 32 (2018), 3229-3236. https://doi.org/10.2298/fil1809229y
  8. F. Yousef, T. Al-Hawary and G. Murugusundaramoorthy, Fekete-Szego Functional problems for some subclasses of bi-univalent functions defined by Frasin differential operator, Afrika Matematika 30 (2019), 495-503. https://doi.org/10.1007/s13370-019-00662-7
  9. F. Yousef, S. Alroud and M. Illafe, A comprehensive subclass of bi-univalent functions associated with Chebyshev polynomials of the second kind, Boletin de la Sociedad Matematica Mexicana 26 (2020), 329-339. https://doi.org/10.1007/s40590-019-00245-3
  10. F. Yousef, S. Alroud and M. Illafe, New subclasses of analytic and bi-univalent functions endowed with coefficient estimate problems, Analysis and Mathematical Physics 11 (2021), 1-12. https://doi.org/10.1007/s13324-020-00437-5