Investigation of the fifth Hankel determinant for a family of functions with bounded turnings

References

[1] Altinkaya, Ş.—Yalçin, S.: Third Hankel determinant for Bazilevič functions, Adv. Math. 5 (2016), 91–96.Suche in Google Scholar

[2] Altinkaya, Ş.—Yalçin, S.: Upper bound of second Hankel determinant for bi-Bazilevic functions, Mediterr. J. Math. 13 (2016), 4081–4090.10.1007/s00009-016-0733-5Suche in Google Scholar

[3] Arif, M.—Noor, K. I.—Raza, M.: Hankel determinant problem of a subclass of analytic functions, J. Inequal. Appl. 2012 (2012), #22.10.1186/1029-242X-2012-22Suche in Google Scholar

[4] Arif, M.—Noor, K. I.—Raza, M.—Haq, W.: Some properties of a generalized class of analytic functions related with Janowski functions, Abstr. Appl. Anal. 2012 (2012), Art. ID 279843.10.1155/2012/279843Suche in Google Scholar

[5] Arif, M.—Rani, L.—Raza, M.—Zaprawa, P.: Fourth Hankel determinant for a family of functions with bounded turning, Bull. Korean Math. Soc. 55 (2018), 1703–1711.Suche in Google Scholar

[6] Babalola, K. O.: On H₃(1) Hankel determinant for some classes of univalent functions, Inequal. Theory Appl. 6 (2010), 1–7.Suche in Google Scholar

[7] Bansal, D.: Upper bound of second Hankel determinant for a new class of analytic functions, Appl. Math. Lett. 26 (2013), 103–107.10.1016/j.aml.2012.04.002Suche in Google Scholar

[8] Bansal, D.—Maharana, S.—Prajapat, J. K.: Third order Hankel Determinant for certain univalent functions, J. Korean Math. Soc. 52 (2015), 1139–1148.10.4134/JKMS.2015.52.6.1139Suche in Google Scholar

[9] Çaglar, M.—Deniz, E.—Srivastava, H. M.: Second Hankel determinant for certain subclasses of bi-univalent functions, Turk. J. Math. 41 (2017), 694–706.10.3906/mat-1602-25Suche in Google Scholar

[10] Caratheodory, C.: über den Variabilitätsbereich der fourierschen Konstanten von positiven harmonischen Funktionen, Rend. Circ. Mat. Palermo 32 (1911), 193–217.10.1007/BF03014795Suche in Google Scholar

[11] Hayman, W. K.: On second Hankel determinant of mean univalent functions, Proc. London Math. Soc. 3 (1968), 77–94.10.1112/plms/s3-18.1.77Suche in Google Scholar

[12] Janteng, A.—Halim, S. A.—Darus, M.: Coefficient inequality for a function whose derivative has a positive real part, J. Inequal. Pure Appl. Math. 7 (2006), 1–5.Suche in Google Scholar

[13] Janteng, A.—Halim, S. A.—Darus, M.: Hankel determinant for starlike and convex functions, Int. J. Math. Anal. 1 (2007), 619–625.Suche in Google Scholar

[14] Kowalczyk, B.—Lecko, A.—Sim, Y. J.: The sharp bound of the Hankel determinant of the third kind for convex functions, Bull. Aust. Math. Soc. 97 (2018), 435–445.10.1017/S0004972717001125Suche in Google Scholar

[15] Krishna, D. V.—Venkateswarlu, B.—RamReddy, T.: Third Hankel determinant for bounded turning functions of order alpha, J. Nigerian Math. Soc. 34 (2015), 121–127.10.1016/j.jnnms.2015.03.001Suche in Google Scholar

[16] Kwon, O. S.—Lecko, A.—Sim, Y. J.: The bound of the Hankel determinant of the third kind for starlike functions, Bull. Malays. Math. Sci. Soc. 42 (2019), 767–780.10.1007/s40840-018-0683-0Suche in Google Scholar

[17] Lee, S. K.—Ravichandran, V.—Supramaniam, S.: Bounds for the second Hankel determinant of certain univalent functions, J. Inequal. Appl. 2013, (2013), #281.10.1186/1029-242X-2013-281Suche in Google Scholar

[18] Lecko, A.—Sim, Y. J.—Śmiarowska, B.: The sharp bound of the Hankel determinant of the third kind for starlike functions of order 1/2, Complex Anal. Oper. Theory 2018 (2018), 1–8.10.1007/s11785-018-0819-0Suche in Google Scholar

[19] Liu, M. S.—Xu, J. F.—Yang, M.: Upper bound of second Hankel determinant for certain subclasses of analytic functions, Abstr. Appl. Anal. 2014 (2014), Art. ID 603180.10.1155/2014/603180Suche in Google Scholar

[20] Livingston, A. E.: The coefficients of multivalent close-to-convex functions, Proc. Amer. Math. Soc. 21 (1969), 545–552.10.1090/S0002-9939-1969-0243054-0Suche in Google Scholar

[21] Noonan, J. W.—Thomas, D. K.: On the second Hankel determinant of areally mean p-valent functions, Trans. Amer. Math. Soc. 223 (1976), 337–346.10.2307/1997533Suche in Google Scholar

[22] Noor, K. I.: Hankel determinant problem for the class of functions with bounded boundary rotation, Rev. Roumaine Math. Pures Appl. 28 (1983), 731–739.Suche in Google Scholar

[23] Noor, K. I.: On certain analytic functions related with strongly close-to-convex functions, Appl. Math. Comput. 197 (2008), 149–157.10.1016/j.amc.2007.07.039Suche in Google Scholar

[24] Orhan, H.—Magesh, N.—Yamini, J.: Bounds for the second Hankel determinant of certain bi-univalent functions, Turk. J. Math. 40 (2016), 679–687.10.3906/mat-1505-3Suche in Google Scholar

[25] Pommerenke, C.: On the coefficients and Hankel determinants of univalent functions, J. London Math. Soc. 1 (1966), 111–122.10.1112/jlms/s1-41.1.111Suche in Google Scholar

[26] Pommerenke, C.: On the Hankel determinants of univalent functions, Mathematika 14 (1967), 108–112.10.1112/S002557930000807XSuche in Google Scholar

[27] Răducanu, D.—Zaprawa, P.: Second Hankel determinant for close-to-convex functions, C. R. Math. Acad. Sci. Paris 355 (2017), 1063–1071.10.1016/j.crma.2017.09.006Suche in Google Scholar

[28] Raza, M.—Malik, S. N.: Upper bound of third Hankel determinant for a class of analytic functions related with lemniscate of Bernoulli, J. Inequal. Appl. 2013 (2013), #412.10.1186/1029-242X-2013-412Suche in Google Scholar

[29] Shanmugam, G.—Stephen, B. A.—Babalola, K. O.: Third Hankel determinant for α-starlike functions, Gulf J. Math. 2 (2014), 107–113.10.56947/gjom.v2i2.202Suche in Google Scholar

[30] Shi, L.—Ali, I.—Arif, M.—Cho, N. E.—Hussain, S.—Khan, H.: A study of third Hankel determinant problem for certain subfamilies of analytic functions involving cardioid domain, Mathematics 11 (2019), 15 pages.10.3390/math7050418Suche in Google Scholar

[31] Shi, L.—Srivastava, H. M.—Arif, M.—Hussain, S.—Khan H.: An investigation of the third Hankel determinant problem for certain subfamilies of univalent functions involving the exponential function, Symmetry 11 (2019), #598.10.3390/sym11050598Suche in Google Scholar

[32] Zaprawa, P.: Third Hankel determinants for subclasses of univalent functions, Mediterr. J. Math. 14 (2017), #19.10.1007/s00009-016-0829-ySuche in Google Scholar

[33] Zhang, H-Y.—Tang, H.—Niu, X-M.: Third-order Hankel determinant for certain class of analytic functions related with exponential function, Symmetry 10 (2018), #501.10.3390/sym10100501Suche in Google Scholar