Nonlinear Functional Analysis and Applications

  • 제28권2호
  • /
  • Pages.589-599
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  • 2023
  • /
  • 1229-1595(pISSN)
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  • 2466-0973(eISSN)
경남대학교 수학교육과 (Kyungnam University, Department of Mathematics Eduaction)
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ON A SUBCLASS OF K-UNIFORMLY ANALYTIC FUNCTIONS WITH NEGATIVE COEFFICIENTS AND THEIR PROPERTIES

  • Ma'moun I.Y. Alharayzeh (Department of Scientific Basic Sciences, Faculty of Engineering Technology, Al-Balqa Applied University) ;
  • Habis S. Al-zboon (Department of Curriculum and Instruction, College of Education, Al-Hussein Bin Talal University)
  • 투고 : 2022.08.30
  • 심사 : 2023.03.20
  • 발행 : 2023.06.15
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초록

The object of this study is to introduce a new subclass of univalent analytic functions on the open unit disk. This subclass is created by utilizing univalent analytic functions with negative coefficients. We first explore the specific properties that functions in this subclass must possess before examining their coefficient characterization. By applying this approach, we observe several fascinating features, including coefficient approximations, growth and distortion theorems, extreme points and a demonstration of the radius of starlikeness and convexity for functions belonging to this subclass.

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과제정보

The author would like to express deepest thanks to the reviewers for their insightful comments on their paper. The author thank Dr. Abdullah Algunmeeyn for his time and invaluable contributions.

참고문헌

  1. M.H. Al-Abbadi and M. Darus. On subclass of analytic univalent functions associated with negative coefficients, Int. J. Math. Math. Sci., (2010), 1-11.
  2. E. Aqlan, J.M. Jahangiri and S.R. Kulkarni, Classes of K-uniformaly convex and starlike functions, Tamk. J. Math., 35(3) (2004), 261-266. https://doi.org/10.5556/j.tkjm.35.2004.207
  3. M. Darus, Some subclasses of analytic functions, J. Inst. Math. & Comp. Sci., 16(3) (2003), 121-126.
  4. F. Ghanim and M. Darus, A new subclass of uniformly starlike and convex functions with negative coefficients, Int. Math. Forum., 4(23) (2009), 1105-1117.
  5. T.N. Shanmugam, S. Sivasubramanian and M. Darus, On a subclass of k-uniformly convex functions with negative coefficients, Int. Math. Forum., 1(34) (2006), 1677-1689. https://doi.org/10.12988/imf.2006.06144
  6. H. Silverman, Univalent functions with negative coefficients, Proc. Amer. Math. Soc., 51 (1975), 109-116. https://doi.org/10.1090/S0002-9939-1975-0369678-0