Certain radii problems for 𝓢^∗(ψ) and special functions

References

[1] Aktaş, İ.—Baricz, Á.—Orhan, H.: Bounds for radii of starlikeness and convexity of some special functions, Turkish J. Math. 42(1) (2018), 211–226.Suche in Google Scholar

[2] Ali, R. M.—Ravichandran, V.—Jain, N. K.: Convolution of certain analytic functions, J. Anal. 18 (2010), 1–8.Suche in Google Scholar

[3] Bansal, D.—Prajapat, J. K.: Certain geometric properties of the Mittag-Leffler functions, Complex Var. Elliptic Equ. 61(3) (2016), 338–350.Suche in Google Scholar

[4] Baricz, Á.—Dimitrov, D. K.—Orhan, H.—Yağmur, N.: Radii of starlikeness of some special functions, Proc. Amer. Math. Soc. 144(8) (2016), 3355–3367.Suche in Google Scholar

[5] Baricz, Á.—Kupán, P.—Szász, R.: The radius of starlikeness of normalized Bessel functions of the first kind, Proc. Amer. Math. Soc. 142(6) (2014), 2019–2025.Suche in Google Scholar

[6] Baricz, Á.—Toklu, E.—Kadioğlu, E.: Radii of starlikeness and convexity of Wright functions, Math. Commun. 23(1) (2018), 97–117.Suche in Google Scholar

[7] Barnard, R. W.: A variational technique for bounded starlike functions, Canad. J. Math. 27 (1975), 337–347.Suche in Google Scholar

[8] Biernacki, M.—Krzyż, J.: On the monotonity of certain functionals in the theory of analytic functions, Ann. Univ. Mariae Curie-Skłodowska Sect. A. 9 (1957), 135–147.Suche in Google Scholar

[9] Bulut, S.—Engel, O.: The radius of starlikeness, convexity and uniform convexity of the Legendre polynomials of odd degree, Results Math. 74(1) (2019), Art. No. 48.Suche in Google Scholar

[10] Bohra, N.—Ravichandran, V.: Radii problems for normalized Bessel functions of first kind, Comput. Methods Funct. Theory 18(1) (2018), 99–123.Suche in Google Scholar

[11] Brown, R. K.: Univalence of Bessel functions, Proc. Amer. Math. Soc. 11 (1960), 278–283.Suche in Google Scholar

[12] Brown, R. K.: Univalent solutions of W″ + pW = 0, Canad. J. Math. 14 (1962), 69–78.Suche in Google Scholar

[13] Cho, N. E.—Kumar, S.—Kumar, V.—Ravichandran, V.: Convolution and radius problems of analytic functions associated with the tilted Carathéodory functions, Math. Commun. 24(2) (2019), 165–179.Suche in Google Scholar

[14] Gandhi, S.—Gupta, P.—Nagpal, S.—Ravichandran, V.: Starlike functions associated with an Epicycloid, Hacet. J. Math. Stat. 51 (2022), 1637–1660.Suche in Google Scholar

[15] Gangadharan, A.—Ravichandran, V.—Shanmugam, T. N.: Radii of convexity and strong starlikeness for some classes of analytic functions, J. Math. Anal. Appl. 211(1) (1997), 301–313.Suche in Google Scholar

[16] Gangania, K.—Kumar, S. S.: On certain generalizations of 𝓢^*(ψ), Comput. Methods Funct. Theory 22 (2022), 215–227.Suche in Google Scholar

[17] Gangania, K.—Kumar, S. S.: Bohr-Rogosinski phenomenon for 𝓢^*(ψ) and 𝓒(ψ), Mediterr. J. Math. 19 (2022), Art. No. 161.Suche in Google Scholar

[18] Gangania, K.—-Kumar, S. S.: 𝓢^*(ψ) and 𝓒(ψ)-radii for some special functions, Iran. J. Sci. Technol. Trans. A Sci. 46 (2022), 955–966.Suche in Google Scholar

[19] Goluzin, G. M.: On a variational method in the theory of analytic functions, Amer. Math. Soc. Transl. 18(2) (1961), 1–14.Suche in Google Scholar

[20] Kanas, S.—Wiśniowska, A.: Conic domains and starlike functions, Rev. Roumaine Math. Pures Appl. 45(4) (2000), 647–657.Suche in Google Scholar

[21] Kargar, R.—Ebadian, A.—Sokół, J.: Radius problems for some subclasses of analytic functions, Complex Anal. Oper. Theory 11(7) (2017), 1639–1649.Suche in Google Scholar

[22] Kreyszig, E.—Todd, J.: The radius of univalence of Bessel functions I, Illinois J. Math. 4 (1960), 143–149.Suche in Google Scholar

[23] Kumar, V.—Cho, N. E.—Ravichandran, V.—Srivastava, H. M.: Sharp coefficient bounds for starlike functions associated with the Bell numbers, Math. Slovaca 69(5) (2019), 1053–1064.Suche in Google Scholar

[24] Kumar, S. S.—Gangania, K.: A cardioid domain and starlike functions, Anal. Math. Phys. 11 (2021), Art. No. 54.Suche in Google Scholar

[25] Kuroki, K.—Owa, S.: Notes on new class for certain analytic functions (Conditions for Univalency of Functions and Applications), RIMS Kokyuroku 1772, 2011, pp. 21-25.Suche in Google Scholar

[26] Ma, W. C.—Minda, D.: A unified treatment of some special classes of univalent functions, Proceedings of the Conference on Complex Analysis, Tianjin, Conf. Proc. Lecture Notes Anal., I Int. Press, Cambridge, MA, 1992, pp. 157–169.Suche in Google Scholar

[27] MacGregor, T. H.: Hull subordination and extremal problems for starlike and spirallike mappings, Trans. Amer. Math. Soc. 183 (1973), 499–510.Suche in Google Scholar

[28] Raina, R. K.—Sokół, J.: Some properties related to a certain class of starlike functions, C. R. Math. Acad. Sci. Paris 353(11) (2015), 973–978.Suche in Google Scholar

[29] Ruscheweyh, S.—Sheil-Small, T.: Hadamard products of Schlicht functions and the Pólya-Schoenberg conjecture, Comment. Math. Helv. 48 (1973), 119–135.Suche in Google Scholar

[30] Sokół, J.—Stankiewicz, J.: Radius of convexity of some subclasses of strongly starlike functions, Zeszyty Nauk. Politech. Rzeszowskiej Mat. 19 (1996), 101–105.Suche in Google Scholar

[31] Szász, R.: About the radius of starlikeness of Bessel functions of the first kind, Monatsh. Math. 176 (2015), 323–330.Suche in Google Scholar

[32] Wang, L. M.: The tilted Carathéodory class and its applications, J. Korean Math. Soc. 49(4) (2012), 671–686.Suche in Google Scholar

[33] Watson, G. N.: Treatise on the Theory of Bessel Functions, Cambridge University Press, Cambridge, 1944.Suche in Google Scholar

[34] Wilf, H. S.: The radius of univalence of certain entire functions, Illinois J. Math. 6 (1962), 242–244.Suche in Google Scholar