Some classes of Janowski functions associated with conic domain and a shell-like curve involving Ruscheweyh derivative

Authors

  • Kadhavoor Ragavan KARTHIKEYAN Department of Applied Mathematics and Science, National University of Science&Technology, Caledonian College of Engineering, Oman Medical College, Sultanate of Oman. Email: kr karthikeyan1979@yahoo.com. https://orcid.org/0000-0002-6943-0047
  • Seetharam VARADHARAJAN Faculty of Mathematics, Department of IT, "Al Mussanah" University of Technology and Applied Sciences, Sultanate of Oman. Email: svrajanram@gmail.com.
  • Sakkarai LAKSHMI Faculty of Mathematics, Department of IT, "Al Mussanah" University of Technology and Applied Sciences, Sultanate of Oman. Email: laxmirmk@gmail.com.

DOI:

https://doi.org/10.24193/subbmath.2023.4.05

Keywords:

Analytic function, Schwarz function, starlike, convex, shell-like functions, Janowski functions, subordination, Fekete-Szegő inequality, Ruscheweyh derivative

Abstract

Making use of Ruscheweyh derivative, we define a new class of starlike functions of complex order subordinate to a conic domain impacted by Janowski functions. Coefficient estimates and Fekete-Szegő inequalities for the defined class are our main results. Some of our results generalize the related work of some authors.

Mathematics Subject Classification (2010): 30C45.

Received 16 September 2020; Accepted 06 January 2021. Published Online: 2023-12-11 Published Print: 2023-12-30

References

Arif, M., et al., Coefficient 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 symmetric and conjugate points bounded by conical domain, Advances in Mathematics, Scientific 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 Fís. Nat. Ser. A Mat. RACSAM, 113(2019), no. 1, 233-253.

Ma, W.C., Minda, D., A unified 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., Bulboacă, 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 coefficient inequalities of functions associated with conic domains, Comput. Math. Appl., 62(2011), no. 5, 2209-2217.

Raina, R.K., Sokół, J., On coefficient estimates for a certain class of starlike functions, Hacet. J. Math. Stat., 44(2015), no. 6, 1427-1433.

Rogosinski, W., On the coefficients of subordinate functions, Proc. London Math. Soc., 48(1943), no. 2, 48-82.

Ruscheweyh, S.T., New criteria for univalent functions, Proc. Amer. Math. Soc., 49(1975), 109-115.

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Published

2023-12-11

How to Cite

KARTHIKEYAN, K. R., VARADHARAJAN, S., & LAKSHMI, S. (2023). Some classes of Janowski functions associated with conic domain and a shell-like curve involving Ruscheweyh derivative. Studia Universitatis Babeș-Bolyai Mathematica, 68(4), 755–765. https://doi.org/10.24193/subbmath.2023.4.05

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