Some classes of Janowski functions associated with conic domain and a shell-like curve involving Ruscheweyh derivative
DOI:
https://doi.org/10.24193/subbmath.2023.4.05Keywords:
Analytic function, Schwarz function, starlike, convex, shell-like functions, Janowski functions, subordination, Fekete-Szego inequality, Ruscheweyh derivativeAbstract
Making use of Ruscheweyh derivative, we dene a new class of starlike functions of complex order subordinate to a conic domain impacted by Janowski functions. Coecient estimates and Fekete-Szego inequalities for the dened class are our main results. Some of our results generalize the related work of some authors.References
Arif, M., et al., Coe cient inequalities for Janowski-Sakaguchi type functions associated
with conic regions, Hacet. J. Math. Stat., 47(2018), no. 2, 261-271.
Gandhi, S., Radius Estimates for Three Leaf Function and Convex Combination of Star-
like Functions, In: Deo N., Gupta, V., Acu, A., Agrawal, P. (eds.), Mathematical Analysis
I: Approximation Theory, ICRAPAM 2018, Springer Proceedings in Mathematics
& Statistics, 306(2020), Springer, Singapore.
Janowski, W., Some extremal problems for certain families of analytic functions, I, Ann.
Polon. Math., 28(1973), 297-326.
Kavitha, D., Dhanalakshmi, K., Subclasses of analytic functions with respect to symmet-
ric and conjugate points bounded by conical domain, Advances in Mathematics, Scienti c
Journal, 9(2020), no. 1, 397-404.
Khatter, K., Ravichandran, V., Sivaprasad Kumar, S., Starlike functions associated with
exponential function and the lemniscate of Bernoulli, Rev. R. Acad. Cienc. Exactas F s.
Nat. Ser. A Mat. RACSAM, 113(2019), no. 1, 233-253.
Ma, W.C., Minda, D., A uni ed treatment of some special classes of univalent functions,
in: Proceedings of the Conference on Complex Analysis (Tianjin, 1992), 157-169, Conf.
Proc. Lecture Notes Anal., I, Int. Press, Cambridge, MA.
Murugusundaramoorthy, G., Bulboac a, T., Hankel determinants for new subclasses of
analytic functions related to a shell shaped region, Mathematics, 8(2020), 1041.
Noor, K.I., Arif, M., Ul-Haq, W., On k-uniformly close-to-convex functions of complex
order, Appl. Math. Comput., 215(2009), no. 2, 629-635.
Noor, K.I., Malik, S.N., On coe cient inequalities of functions associated with conic
domains, Comput. Math. Appl., 62(2011), no. 5, 2209-2217.
Raina, R.K., Sok o l, J., On coe cient estimates for a certain class of starlike functions,
Hacet. J. Math. Stat., 44(2015), no. 6, 1427-1433.
Rogosinski, W., On the coe cients of subordinate functions, Proc. London Math. Soc.,
(1943), no. 2, 48-82.
Ruscheweyh, S.T., New criteria for univalent functions, Proc. Amer. Math. Soc., 49(1975), 109-115.
Downloads
Additional Files
- Some classes of Janowski functions associated with conic domains and a shell-like curve using Ruscheweyh derivatives
- Some classes of Janowski functions associated with conic domains and a shell-like curve using Ruscheweyh derivatives
- Some classes of Janowski functions associated with conic domains and a shell-like curve using Ruscheweyh derivatives
Published
Issue
Section
License
This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.
Transfer of copyright agreement: When the article is accepted for publication, the authors and the representative of the coauthors, hereby agree to transfer to Studia Universitatis Babeș-Bolyai Mathematica all rights, including those pertaining to electronic forms and transmissions, under existing copyright laws, except for the following, which the authors specifically retain: the authors can use the material however they want as long as it fits the NC ND terms of the license. The authors have all rights for reuse according to the license.
