Pseudo starlike functions involving convex combination of two starlike functions
*K. R. KarthikeyanCorresponding authorkarthikeyan@nu.edu.omDepartment of Applied Mathematics and Science College of Engineering (Al Hail Caledonian Campus) National University of Science & Technology P. O. Box 2322, CPO Seeb 111Al Hail, OmanView full profile → , G. Murugusundaramoorthygmsmoorthy@yahoo.comDepartment of Mathematics School of Advanced Sciences Vellore Institute of TechnologyVellore, Tamil Nadu, 632014, IndiaView full profile →
* Corresponding author · click or hover a name for details
- Received:
- 06 Sep 2023
- Published Online:
- 15 Mar 2025
- Article type:
- Research Article
- Language:
- EN
- Article no.:
- JIM-1856
- Pages:
- 485–497
Abstract
Keywords
Subject Classifications
References
[1] O. P. Ahuja, A. Çetinkaya, and N. K. Jain, “Mittag-Leffler operator connected with certain subclasses of Bazilevič functions,” J. Math., Art. ID 2065034, 7 pp (2022).
[2] O. Ahuja, N. Bohra, A. Çetinkaya, and S. Kumar, “Univalent functions associated with the symmetric points and cardioid-shaped domain involving (p, q)-calculus,” Kyungpook Math. J., vol. 61, no. 1, pp. 75-98 (2021).
[3] M. K. Aouf, A. O. Mostafa, and T. Bulboacă, “Notes on multivalent Bazilević functions defined by higher order derivatives,” Turkish J. Math., vol. 45, no. 2, pp. 624-633 (2021).
[4] M. K. Aouf, T. Bulboacă, and T. M. Seoudy, “Subclasses of multivalent non-Bazilevič functions defined with higher order derivatives,” Bull. Transilv. Univ. Braşov Ser. III, vol. 13, no. 62, pp. 411-422 (2020).
[5] M. K. Aouf and S. M. Madian, “Coefficient bounds for bi-univalent classes defined by Bazilevič functions and convolution,” Bol. Soc. Mat. Mex. (3), vol. 26, no. 3, pp. 1045-1062 (2020).
[6] M. K. Aouf and T. M. Seoudy, “On certain class of multivalent analytic functions defined by differential subordination,” Rend. Circ. Mat. Palermo (2), vol. 60, no. 1-2, pp. 191-201 (2011).
[7] I. E. Bazilevič, “On a case of integrability in quadratures of the Loewner-Kufarev equation,” Mat. Sb. N.S., vol. 37, no. 79, pp. 471-476 (1955).
[8] D. Breaz, K. R. Karthikeyan, and G. Murugusundaramoorthy, “Bazilevič functions of complex order with respect to symmetric points,” Fractal Fract., vol. 6, Art. ID: 316 (2022).
[9] A. M. Delphi and K. A. Jassim, “New subclasses for estimates coefficients of m-fold symmetric bi-univalent functions and Fekete-Szego problems,” J. Interdisciplinary Math., vol. 25, no. 6, pp. 1857-1867 (2022). DOI: 10.1080/09720502.2022.2052576.
[10] U. Grenander and G. Szegö, Toeplitz Forms and Their Applications, California Monographs in Mathematical Sciences, University of California Press, Berkeley (1958).
[11] S. Gandhi, “Radius estimates for three leaf function and convex combination of starlike functions,” in Mathematical Analysis. I. Approximation Theory, Springer Proc. Math. Stat., vol. 306, pp. 173-184, Springer, Singapore (2022).
[12] K. R. Karthikeyan, G. Murugusundaramoorthy, and T. Bulboacă, “Properties of λ-pseudo-starlike functions of complex order defined by subordination,” Axioms, vol. 10, Art. ID: 86 (2021).
[13] K. R. Karthikeyan, G. Murugusundaramoorthy, and N. E. Cho, “Some inequalities on Bazilevič class of functions involving quasi-subordination,”*AIMS Math., vol. 6, no. 7, pp. 7111-7124 (2021).
[14] K. R. Karthikeyan, S. Lakshmi, S. Varadharajan, D. Mohankumar, and E. Umadevi, “Starlike functions of complex order with respect to symmetric points defined using higher order derivatives,” Fractal and Fractional, vol. 6, no. 2, Art. ID: 116 (2022).
[15] K. Khatter, V. Ravichandran, and S. Sivaprasad Kumar, “Starlike functions associated with exponential function and the lemniscate of Bernoulli,”*Rev. R. Acad. Cienc. Exactas Fs. Nat. Ser. A Mat. RACSAM, vol. 113, no. 1, pp. 233-253 (2019).
[16] J. L. Li and S. Owa, “Sufficient conditions for starlikeness,” Indian J. Pure Appl. Math., vol. 33, no. 3, pp. 313-318 (2002).
[17] R. J. Libera and E. J. Zlotkiewicz, “Early coefficients of the inverse of a regular convex function,” Proc. Amer. Math. Soc., vol. 85, no. 2, pp. 225-230 (1982).
[18] M. H. Saloomi, E. Hadi Abd, and G. A. Qahtan, “Coefficient bounds for biconvex and bistarlike functions associated by quasi-subordination,” J. Interdisciplinary Math., vol. 24, no. 3, pp. 753-764 (2021). DOI: 10.1080/09720502.2021.1884387.
[19] Y. J. Sim and O. S. Kwon, “Notes on analytic functions with a bounded positive real part,” J. Inequal. Appl., vol. 2013, Art. 370, 9 pp. (2013).
