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Certain subclasses of univalent and bi-univalent functions related to shell-like curves connected with Fibonacci numbers

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[1] D. A. Brannan, T. S. Taha, On some classes of bi-univalent functions, in: S. M. Mazhar, A. Hamoni, N. S. Faour (Eds.), Mathematical Analysis and its Applications, Kuwait; February 18–21, 1985, in: KFAS Proceedings Series, Vol.3, Pergamon Press, Elsevier Science Limited, Oxford, 1988, pp. 53–60. See also Studia Univ. Babes-Bolyai Math., vol. 31, no. 2, 1986, 70–77.Search in Google Scholar

[2] J. Dziok, R. K. Raina, J. Sokol, Certain results for a class of convex functions related to a shell-like curve connected with Fibonacci numbers, Comp. Math. Appl., vol. 61, 2011, 2605–2613.10.1016/j.camwa.2011.03.006Search in Google Scholar

[3] J. Dziok, R. K. Raina, J. Sokol, On -convex functions related to a shell-like curve connected with Fibonacci numbers, Appl. Math. Comp., vol. 218, 2011, 996–1002.10.1016/j.amc.2011.01.059Search in Google Scholar

[4] P. L. Duren, Univalent functions, Springer-Verlag, New York, 1983.Search in Google Scholar

[5] R. Ehrenborg, The Hankel determinant of exponential polynomials, American Mathematical Monthly, vol. 107, 2000, 557–560.10.1080/00029890.2000.12005236Search in Google Scholar

[6] M. Fekete, G. Szegö, Eine Bemerkungüber ungerade schlichte Funktionen, J. London Math. Soc., vol. 8, 1933, 85–89.10.1112/jlms/s1-8.2.85Search in Google Scholar

[7] H. Özlem Güney, G. Murugusundaramoorthy, J. Sokól, Subclasses of biunivalent functions related to shell-like curves connected with Fibonacci numbers, Acta Univ. Sapientiae, Mathematica, vol. 10, no. 1, 2018, 70–84.10.2478/ausm-2018-0006Search in Google Scholar

[8] W. K. Hayman, Multivalent functions, Cambridge Tracts in Math. and Math. Phys., Cambridge University Press, Cambridge, no. 48, 1958.Search in Google Scholar

[9] J. W. Layman, The Hankel transform and some of its properties, J. of Integer Sequences, vol. 4, 2001, 1–11.Search in Google Scholar

[10] M. Lewin, On a coefficient problem for bi-univalent functions, Proc. Amer. Math. Soc., vol. 18, 1967, 63–68.10.1090/S0002-9939-1967-0206255-1Search in Google Scholar

[11] N. Magesh, V.K. Balaji, C. Abirami, Certain classes of bi-univalent functions related to shell-like curves connected with Fibonacci numbers, Arxiv: 1810.06216V1 [Math CV], 2018.Search in Google Scholar

[12] B. S. Mehrok, G. Singh, Estimate of second Hankel determinant for certain classes of analytic functions, Scientia Magna, vol. 8, no. 3, 2012, 85–94.Search in Google Scholar

[13] P. T. Mocanu, Une propriete’de convexite’ généralisée dans la théorie de la représentation conforme, Mathematica(CLUJ), vol. 11, no. 34, 1969, 127–133.Search in Google Scholar

[14] J. W. Noonan, D. K. Thomas, On the second Hankel determinant of a really mean p-valent functions, Trans. Amer. Math. Soc., vol. 223, no. 2, 1976, 337–346.10.1090/S0002-9947-1976-0422607-9Search in Google Scholar

[15] K. I. Noor, Hankel determinant problem for the class of functions with bounded boundary rotation, Rev. Roum. Math. Pures Et Appl., vol. 28, no. 8, 1983, 731–739.Search in Google Scholar

[16] Ch. Pommerenke, Univalent functions, Göttingen: Vandenhoeck and Ruprecht., 1975.Search in Google Scholar

[17] G. S. Sălăgean, Subclasses of Univalent Functions, Chapter in Lecture Notes in Mathematics, Springer-Verlag, vol. 1013, 1983, 362–372.Search in Google Scholar

[18] G. Singh, Hankel determinant for a new subclass of analytic functions, Scientia Magna, vol. 8, no. 4, 2013, 61–65.Search in Google Scholar

[19] G. Singh, G. Singh, Upper bound of the second Hankel determinant for a subclass of analytic functions, New Trends in Mathematical Sciences, vol. 2, no. 1, 2014, 53–58.Search in Google Scholar

[20] J. Sokól, On starlike functions connected with Fibonacci numbers, Folia Scient. Univ. Tech. Resoviensis, vol. 175, 1999, 111–116.Search in Google Scholar

[21] J. Sokól, S. Ílhan, Ö. Güney, Second Hankel Determinant problem for several classes of analytic functions related to shell-like curves connected with Fibonacci numbers, TWMS J. App. Eng. Math., vol. 8, no. 1a, 2018, 220–229.Search in Google Scholar

[22] J. Sokól, R. K. Raina, N. Y. Özgür, Applications of K-Fibonacci numbers for the starlike analytic functions, Hacettepe Journal of Math. and Stat., vol. 44, no. 1, 2015, 121–127.10.15672/HJMS.2015449091Search in Google Scholar

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