[KSCI] Korea Science Citation Index Service

http://dx.doi.org/10.14317/jami.2022.259

CERTAIN SUBCLASSES OF ALPHA-CONVEX FUNCTIONS WITH FIXED POINT

SINGH, GAGANDEEP (Department of Mathematics, Khalsa College)
SINGH, GURCHARANJIT (Department of Mathematics, G.N.D.U. College)

Publication Information

Journal of applied mathematics & informatics / v.40, no.1_2, 2022 , pp. 259-266 More about this Journal

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

Analytic functions; univalent functions; alpha-convex functions; fixed point; coefficient estimates; subordination;

Citations & Related Records

Reference

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.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.
4	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.
5	P.T. Mocanu, Une propriete de convexite generalisee dans la theorie de la representation conforme, Mathematica 11 (1969), 127-133.