Research Article
Subclasses of Janowski Associated with q-Derivative
* Corresponding author
Abstract
Herglotz representation and Bieberbach type properties are discussed for the q-analog classes of Janowski starlike and convex functions.
How to Cite
N. Ravikumar, B. J. Chidananda, S. Latha, Subclasses of Janowski Associated with q-Derivative, Int. J. Anal. Appl. 22 (2024), 113. https://doi.org/10.28924/2291-8639-22-2024-113
BibTeX
@article{Ravikumar2024,
author = {Ravikumar, N. and Chidananda, B. J. and Latha, S.},
title = {Subclasses of Janowski Associated with q-Derivative},
journal = {Int. J. Anal. Appl.},
volume = {22},
year = {2024},
pages = {113},
doi = {10.28924/2291-8639-22-2024-113}
}References
- [1] S. Agrawal, Coefficient Estimates for Some Classes of Functions Associated With q-Function Theory, arXiv:1705.06957v1 [math.CV], (2017). http://arxiv.org/abs/1705.06957.
- [2] S. Agrawal, S.K. Sahoo, A Generalization of Starlike Functions of Order Alpha, arXiv:1404.3988v2 [math.CV], (2015). http://arxiv.org/abs/1404.3988.
- [3] G. Gasper, M. Rahman, Basic Hypergeometric Series, Vol. 35, Encyclopedia of Mathematics and Its Applications, Cambridge University Press, Cambridge, Mass, USA, 1990.
- [4] M.E.H. Ismail, E. Merkes, D. Styer, A Generalization of Starlike Functions, Complex Var. Theory Appl. 14 (1990), 77–84. https://doi.org/10.1080/17476939008814407.
- [5] F.H. Jackson, On q-Functions and a Certain Difference Operator, Trans. R. Soc. Edinb. 46 (1909), 253–281. https://doi.org/10.1017/S0080456800002751.
- [6] W. Janowski, Some Extremal Problems for Certain Families of Analytic Functions I, Ann. Polon. Math. 28 (1973), 298–326.