Subordination properties and coefficient problems for a novel class of convex functions

References

[1] Adegani, E. A.—Bulboacă, T.—Hameed Mohammed, N.—Zaprawa, P.: Solution of logarithmic coefficients conjectures for some classes of convex functions, Math. Slovaca 73 (2023), 79–88.Search in Google Scholar

[2] Adegani, E. A.—Bulboacă, T.—Motamednezhad, A.: Sufficient condition for p-valent strongly starlike functions, J. Contemp. Mathemat. Anal. 55 (2020), 213–223.Search in Google Scholar

[3] Cho, N. E.—Ebadian, A.—Bulut, S.—Adegani, E. A.: Subordination implications and coefficient estimates for subclasses of starlike functions, Mathematics 8 (2020), Art. No. 1150.Search in Google Scholar

[4] Darus, M.—Hussain, S.—Raza, M.—SokóŁ, J.: On a subclass of starlike functions, Results Math. 73 (2018), Art. No. 22.Search in Google Scholar

[5] Hameed Mohammed, N.—Adegani, E. A.—Bulboacă, T.—Cho, N. E.: A family of holomorphic functions defined by differential inequality, Math. Inequal. Appl. 25 (2022), 27–39.Search in Google Scholar

[6] Kanas, S.—Wiśniowska, A.: Conic regions and k-uniform convexity, J. Comput. Appl. Math. 105 (1999), 327–336.Search in Google Scholar

[7] Keogh, F. R.—Merkes, E. P.: A coefficient inequality for certain classes of analytic functions, Proc. Amer. Math. Soc. 20 (1969), 8–12.Search in Google Scholar

[8] Khan, B.—Aldawish, I.—Araci, S.—Khan, M. G.: Third Hankel determinant for the logarithmic coefficients of starlike functions associated with sine function, Fractal Fract. 6 (2022), Art. No. 261.Search in Google Scholar

[9] Ma, W.—Minda, D.: Uniformly convex functions, Ann. Polon. Math. 2 (1992), 165–-175.Search in Google Scholar

[10] Marx, A.: Untersuchungen über schlichte Abbildungen, Math. Ann. 107 (1932–33), 40–67.Search in Google Scholar

[11] Milin, I. M.: On a property of the logarithmic coefficients of univalent functions, In: Metric Questions in the Theory of Functions, Naukova Dumka, Kiev, 1980, pp. 86–90 (in Russian).Search in Google Scholar

[12] Miller, S. S.—Mocanu, P. T.: Univalent solutions of Briot-Bouquet differential equations, J. Differential Equations 56 (1985), 297–309.Search in Google Scholar

[13] Miller, S. S.—Mocanu, P. T.: Differential Subordinations Theory and Applications, Marcel Dekker Inc., New York, 2000.Search in Google Scholar

[14] Mocanu, P. T.—Ripeanu, D.—Şerb, I.: The order of starlikeness of certain integral operators, Mathematica(Cluj) 23 (1981), 225–230.Search in Google Scholar

[15] Nehari, Z.: Conformal Mapping, McGraw-Hill; New York, NY, USA, 1952.Search in Google Scholar

[16] Pommerenke, Ch.: On the coefficients and Hankel determinants of univalent functions, J. Lond. Math. Soc. 44 (1966), 111–122.Search in Google Scholar

[17] Prokhorov, D. V.—Szynal, J.: Inverse coefficients for (α;β)-convex functions, Ann. Univ. Mariae Curie-Skłodowska Sect. A 35 (1981), 125–143.Search in Google Scholar

[18] Răducanu, D.: Second Hankel determinant for a class of analytic functions defined by q-derivative operator, An. Ştiinţ. Univ. “Ovidius” Constanţa Ser. Mat. 27 (2019), 167–177.Search in Google Scholar

[19] Rønning, F.: Uniformly convex functions and a corresponding class of starlike functions, Proc. Amer. Math. Soc. 118 (1993), 189–196.Search in Google Scholar

[20] Swaminathan, A.—Wani, L. A.: Subordination-implication problems concerning the nephroid starlikeness of analytic functions, Math. Slovaca 72 (2022), 1185–1202.Search in Google Scholar

[21] Sim, Y. J.—Lecko, A.—Thomas, D. K.: The second Hankel determinant for strongly convex and Ozaki close-to-convex functions, Ann. Mat. Pura Appl. 200 (2021), 2515–2533.Search in Google Scholar

[22] SokóŁ, J.—Nunokawa, M.: On some class of convex functions, C. R. Math. Acad. Sci. Paris 353 (2015), 427–431.Search in Google Scholar

[23] Strohhäcker, E.: Beiträge zur Theorie der schlichten Functionen, Math. Z. 37 (1933), 356–380.Search in Google Scholar

[24] Ullah, N.—Ali, I.—Hussain, S. M.—Ro, J.-S.—Khan, N.—Khan, B.: Third Hankel determinant for a subclass of univalent functions associated with lemniscate of bernoulli, Fractal Fract. 6 (2022), Art. No. 48.Search in Google Scholar

[25] Zaprawa, P.: Initial logarithmic coefficients for functions starlike with respect to symmetric points, Bol. Soc. Mat. Mex. 27 (2021), Art. No. 62.Search in Google Scholar