Bounds on third Hankel determinant for close-to-convex functions

[1] K. O. Babalola, On H3(1) Hankel determinant for some classes of univalent functions, Inequal. Theory Appl., 6 (2007), 1-7.Search in Google Scholar

[2] D. Bansal, Upper bound of second Hankel determinant for a new class of analytic functions, Appl. Math. Lett., 26 (1) (2013), 103-107.10.1016/j.aml.2012.04.002Search in Google Scholar

[3] D. Bansal, S. Maharana, J. K. Prajapat, Third order Hankel Determinant for certain univalent functions, J. Korean Math. Soc., 52 (6) (2015), 1139-1148.10.4134/JKMS.2015.52.6.1139Search in Google Scholar

[4] C. Carathéodory, Über den variabilitätsbereich der Fourier’schen Konstanten Von Positiven harmonischen Funktionen, Rend. Circ. Mat. Palermo, 32 (1911), 193-217.10.1007/BF03014795Search in Google Scholar

[5] P. L. Duren, Univalent Functions, vol. 259 of Grundlehren der Mathematischen Wissenschaften, Springer-Verlag, New York, Berlin, Heidelberg, Tokyo, 1983.Search in Google Scholar

[6] R. Ehrenborg, The Hankel determinant of exponential polynomials, Amer. Math. Monthly, 107 (2000), 557-560.10.1080/00029890.2000.12005236Search in Google Scholar

[7] M. Fekete, G. Szegö, Eine Benberkung uber ungerada Schlichte funktionen, J. London Math. Soc., 8 (1933), 85-89.10.1112/jlms/s1-8.2.85Search in Google Scholar

[8] W. K. Hayman, On second Hankel determinant of mean univalent functions, Proc. Lond. Math. Soc., 18 (1968), 77-94.10.1112/plms/s3-18.1.77Search in Google Scholar

[9] W. Kaplan, Close-to-convex schlicht functions, Mich. Math. J., 1 (1952), 169-185.10.1307/mmj/1028988895Search in Google Scholar

[10] F. R. Keogh, E. P. Merkes, A coefficient inequality for certain classes of analytic functions, Proc. Amer. Math. Soc., 20 (1969), 8-12.10.1090/S0002-9939-1969-0232926-9Search in Google Scholar

[11] W. Koepf, On the Fekete-Szegö problem for close-to-convex functions, Proc. Amer. Math. Soc., 101 (1987), 89-95.Search in Google Scholar

[12] A. Janteng, S. Halim, M. Darus, Coefficient inequality for a function whose derivative has a positive real part, J. Inequal. Pure Appl. Math., 7 (2) (2006), Article 50.Search in Google Scholar

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

[14] R. J. Libera, E. J. Zlotkiewicz, coefficient bounds for the inverse of a function with derivative in P, Proc. Amer. Math. Soc., 87 (2) (1983), 251-257.10.1090/S0002-9939-1983-0681830-8Search in Google Scholar

[15] R. J. Libera, E. J. Zlotkiewicz, Early coefficients of the inverse of a regular convex function, Proc. Amer. Math. Soc., 85 (2) (1982), 225-230.10.1090/S0002-9939-1982-0652447-5Search in Google Scholar

[16] J. W. Noonan, D. K. Thomas, On the second Hankel determinant of areally mean p-valent functions, Trans. Amer. Math. Soc., 223 (2) (1976), 337-346.10.1090/S0002-9947-1976-0422607-9Search in Google Scholar

[17] K. I. Noor, Hankel determinant problem for the class of function with bounded boundary rotation, Rev. Roum. Math. Pures Et Appl. 28 (1983), 731-739.Search in Google Scholar

[18] K. I. Noor, S. A. Al-Bany, On Bazilevic functions, Int. J. Math. Math. Sci., 10 (1) (1987), 79-88.10.1155/S0161171287000103Search in Google Scholar

[19] K. I. Noor, On analytic functions related with function of bounded boundary rotation, Comment. Math. Univ. St. Pauli, 30 (2) (1981), 113-118.Search in Google Scholar

[20] K. I. Noor, Higer order close-to-convex functions, Math. Japon, 37 (1) (1992), 1-8.Search in Google Scholar

[21] C. Pommerenke, On the Hankel determinants of univalent functions, Mathematika, 14 (1967), 108-112.10.1112/S002557930000807XSearch in Google Scholar

[22] C. Pommerenke, On the coefficients and Hankel determinant of univalent functions, J. Lond. Math. Soc., 41 (1966), 111-,112.10.1112/jlms/s1-41.1.111Search in Google Scholar

[23] M. O. Reade, On close-to-convex functions, Mich. Math. J., 3 (1955-56), 59-62.10.1307/mmj/1031710535Search in Google Scholar

[24] M. Raza, S. N. Malik, Upper bound of the third Hankel determinant for a class of analytic functions related with Lemniscate of Bernoulli, J. Inequal. Appl., 2013 (2013), Article 412. 10.1186/1029-242X-2013-412Search in Google Scholar