International Journal of Nonlinear Analysis and Applications

On strongly starlikeness of Libera transform

Articles in Press

Document Type : Research Paper

Authors

1 Assistant Professor، Department of Mathematics Education, Farhangian University, P.O. Box 14665-889, Tehran, Iran .r.gholami@cfu.ac.ir

2 Department of Mathematics‎, ‎Faculty of Science‎, ‎Urmia University‎, ‎Urmia‎, ‎Iran

10.22075/ijnaa.2024.35871.5326

Abstract

‎Let A denote the class of functions f that are analytic in the unit disk Δ with normalization f(0)=f′(0)−1=0‎. ‎In this paper conditions are determined for strongly starlikeness of the Libera transform‎. ‎The results of Mocanu and Nunokawa et al‎. ‎are improved‎.

Keywords

[1] D.A. Brannan and W.E. Kirwan, On some classes of bounded univalent functions, J. London Math. Soc. 1 (1969), no. 2, 431–443.
[2] P.T. Mocanu, On starlikeness of Libera transform, Mathematica (Cluj) 28 (1986), 153–155.
[3] P.T. Mocanu, New extensions of a theorem of R. Singh and S. Singh, Mathematica (Cluj) 37 (1995), 171–182.
[4] M. Nunokawa, On the order of strongly starlikeness of strongly convex functions, Proc. Japan Acad. Ser A 69 (1993), 234–237.
[5] M. Nunokawa, N.E. Cho, O.S. Kwon, and J. Sokol, An improvement of Ozaki’s p-valent conditions, Acta Math. Sinica, English Ser. 32 (2016), no. 4, 406–410.
[6] M. Nunokawa and J. Sok´o l, On starlikeness of Libera transform, Sains Malay. 44 (2015), no. 1, 155–158.
[7] J. Stankiewicz, Quelques problemes extremaux dans les classes des fonctions α-anglairement etoilees, Ann. Univ.
Mariae Curie-Sklodowska, Sect. A 20 (1966), 59–75.
International Journal of Nonlinear Analysis and Applications

Articles in Press, Corrected Proof
Available Online from 18 December 2024
  • Receive Date: 10 October 2024
  • Revise Date: 03 December 2024
  • Accept Date: 11 December 2024