Bounds on the Initial Coefficients for New Subclasses of m-Fold Symmetric Bi-univalent Functions
DOI:
https://doi.org/10.29304/jqcsm.2024.16.21551Keywords:
Analytic function, Coefficient bounds, m-Fold symmetric analytic function, Bi-univalent function, m-Fold symmetric analytic biunivalent functionAbstract
The aim from this study is to propose and explore two new classes and of made up of bi-univalent functions that are m-fold symmetric and analytic which are defined within the unit disk that is open. For each functions that correspond to these subclasses we derive upper bounds for the coefficients and . Many of the newly discovered and well-known outcomes are demonstrated to be special cases of our findings.
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A. M. A. Al-Asadi and N. A. J. Al-Ziadi, Maclaurin Coefficient Estimates for a New General Subclasses of m-Fold Symmetric Holomorphic Bi-Univalent Functions, Earthline Journal of Mathematical Science, 13(1)(2023), 251-265.
Ş. Altinkaya and S. Yalçin, Coefficient bounds for certain subclasses of m-fold symmetric bi-univalent functions, Journal of Mathematics, Art. ID 241683 (2015), 1-5.
W. G. Atshan and N. A. J. Al-Ziadi, Coefficients bounds for a general subclasses of m-fold symmetric bi-univalent functions, J. Al-Qadisiyah Comput. Sci. Math., 9(2)(2017),33-39.
P. L. Duren, Univalent Functions, Grundlehren der Mathematischen Wissenschaften, Band 259 Springer Verlag, New York, Berlin, Heidelberg and Tokyo, 1983.
B. A. Frasin and M. K. Aouf, New subclasses of bi-univalent functions, Appl. Math. Lett., 24(2011), 1569- 1573.
S. P. Goyal and P. Goswami, Estimate for initial Maclaurin coefficients of bi-univalent functions for a class defined by fractional derivatives, J. Egyptian Math. Soc., 20(2012), 179-182.
L. H. Hassan and N. A. J. Al-Ziadi, Initial Coefficient Estimates for New Families of m-Fold Symmetric Bi-Univalent Functions, Earthline Journal of Mathematical Science, 13(1)(2023), 235-249.
W. Koepf, Coefficients of symmetric functions of bounded boundary rotations, Proc. Amer. Math. Soc., 105(1989), 324-329.
T. R. K. Kumar, S. Karthikeyan, S. Vijayakumar and G. Ganapathy, Initial coefficient estimates for certain subclasses of m-fold symmetric bi-univalent functions, Advances in Dynamical Systems and Applications 16(2) (2021), 789-800.
X. F. Li and A. P. Wang, Two new subclasses of bi-univalent functions, Int. Math. Forum, 7(2012), 1495- 1504.
G. Murugusundaramoorthy, N. Magesh and V. Prameela, Coefficient bounds for certain subclasses of bi-univalent functions, Abstract and Applied Analysis, vol. 2013, Article ID 573017, 3 pages, 2013.
S. Prema and B. S. Keerthi, Coefficient bounds for certain subclasses of analytic function, J. Math. Anal., 4(1)(2013), 22-27.
A. M. Ramadhan and N. A. J. Al-Ziadi, Coefficient bounds for new subclasses of m-fold symmetric holomorphic bi-univalent functions, Earthline Journal of Mathematical Sciences, 10(2)(2022), 227-239.
S. Sivasubramanian and R. Sivakumar, Initial coefficient bound for m-fold symmetric bi-λ-convex functions, J. Math. Inequalities 10(3) (2016), 783-791.
H. M. Srivastava and D. Bansal, Coefficient estimates for a subclass of analytic and bi-univalent functions, J. Egyptian Math. Soc., 23(2015), 242-246.
H. M. Srivastava, S. Bulut, M. Caglar and N. Yagmur, Coefficient estimates for a general subclass of analytic and bi-univalent functions, Filomat, 27(5)(2013), 831- 842.
H. M. Srivastava, S. S. Eker and R. M. Ali, Coefficient bounds for a certain class of analytic and bi-univalent functions, Filomat, 29(2015), 1839-1845.
H. M. Srivastava, A. K. Mishra and P. Gochhayat, Certain subclasses of analytic and bi-univalent functions, Appl. Math. Lett., 23(2010), 1188-1192.
H. M. Srivastave, P. O. Sabir, S. S. Eker, A. K. Wanas, P. O. Mohammed, N. Chorfi and D. Baleanu, Some m-fold symmetric bi-univalent function classes and their associated Taylor-Maclaurin coefficient bounds, Journal of Inequalities and Applications, 47 (2024), 1-18.
H. M. Srivastava, S. Sivasubramanian and R. Sivakumar, Initial coefficient bounds for a subclass of m-fold symmetric bi-univalent functions, Tbilisi Math. J., 7(2)(2014), 1-10.
A. K. Wanas and H. K. Raadhi, Maclaurin coefficient estimates for a new subclasses of m-fold symmetric bi-univalent functions, Earthline Journal of Mathematical Sciences, 11(2)(2023), 2581-8147.
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