DOI QR코드

DOI QR Code

CERTAIN SUBCLASSES OF ALPHA-CONVEX FUNCTIONS WITH FIXED POINT

  • Received : 2020.11.19
  • Accepted : 2021.07.14
  • Published : 2022.01.30

Abstract

The present investigation is concerned with certain subclasses of alpha-convex functions with fixed point and defined with subordination in the unit disc E = {z :| z |< 1}. The estimates of the first four coefficients for the functions in these classes are obtained. The results due to various authors follow as special cases.

Keywords

References

  1. Mugur Acu and Shigeyoshi Owa, On some subclasses of univalent functions, J. Inequal. Pure Appl. Math. 6 (2005), 1-6.
  2. T. Al-Hawary, B.A. Frasin and M. Darus, On certain subclass of analytic functions with fixed point, J. Appl. Math. 2013 (2013), 1-6.
  3. S. Kanas and F. Ronning, Uniformly starlike and convex functions and other related classes of univalent functions, Ann. Univ. Mariae Curie-Sklodowska Sect. A 53 (1999), 95-105.
  4. P.T. Mocanu, Une propriete de convexite generalisee dans la theorie de la representation conforme, Mathematica 11 (1969), 127-133.
  5. S.O. Olatunji and A.T. Oladipo, On a new subfamilies of analytic and Univalent functions with negative coefficient with respect to other points, Bull. Math. Anal. Appl. 3 (2011), 159-166.