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Second Hankel determinants for some Ma-Minda subclasses of I-univalent functions

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In this paper, we have investigated second Hankel determinants for some subclasses of Ma-Minda bi-univalent functions in the open unit disc  and these results are generalization of results in [7] and [9].

Abstract

In this paper, we have investigated second Hankel determinants for some subclasses of Ma-Minda bi-univalent functions in the open unit disc  and these results are generalization of results in [7] and [9].

참고문헌 (37)

  1. R. M. Ali, "Coefficient estimates for biunivalent Ma-Minda starlike and convex functions", Appl. Math. Lett., 25(3), pp.344~351 (2012)
  2. R. M. Ali, "The Fekete-Szego coefficient functional for transforms of analytic functions", Bulletin of the Iranian Mathematical Society, 35(2), pp.119~142 (2015)
  3. S. Altinkaya, "Second Hankel Determinant for a General Subclass of Bi-Univalent Functions", Twms J. Pure Appl. Math., 7(1), pp.98~104 (2016)
  4. K. O. Babalola, "On Coefficient Determinants with Fekete-Szego Parameter", Applied Mathematics E-Notes, 13, pp.92~99 (2013)
  5. R. Bharavi Sharma, "On a class of α-convex functions subordinate to a shell shaped region", The Journal of Analysis, 25(1), pp.99~105 (2017)
  6. D. A. Brannan, "On H₃(1) Hankel determinant for some classes of univalent functions", Proceedings of the NATO Advanced Study Institute, (University of Durham) (1979), Academic Press
  7. M. Caglar, "Second Hankel determinant for certain subclasses of bi-univalent functions", Turk. J. Math., 41, pp.694~706 (2017)
  8. E. Deniz, "Certain Subclasses of Bi-Univalent Functions Satisfying Subordinate Conditions", J. Classical Anal, 2(1), pp.49~60 (2013)
  9. E. Deniz, "Second Hankel determinant for bi-starlike and bi-convex functions of order beta", Appl. Math. Comput., 271, pp.301~307 (2015)
  10. P. L. Duren, "Grundehren der Math. Wiss." (1983), Springer Verlag
  11. T. Hayami, "Generalized Hankel determinant for certain classes", Int. J. Math. Anal., 4(52), pp.2573~2585 (2010)
  12. M. M. EhHosh, "On the second Hankel determinant of univalent functions", Int. J. Math. Anal., 9(2), pp.23~25 (1986)
  13. B. A. Frasin, "New subclasses of bi-univalent functions", Appl. Math. Lett., 24, pp.1569~1573 (2011)
  14. I. Graham, "Geometric Function Theory in One and Higher Dimensions" (2003), Marcel Dekker
  15. U. Grenander, "Toeplitz forms and their applications" (1984), Chelsa Publishing Co.
  16. A. Janteng, "Hankel determinant for starlike and convex functions", Int. J. Math. Anal. (Ruse), 1(13), pp.619~625 (2007)
  17. S. K. Lee, "Bounds for the second Hankel determinant of certain univalent functions", Journal of Inequalities and Applications, 2013, pp.281~ (2013)
  18. Lewin, "On a Coefficient problem for bi-univalent functions", Proc. Amer. Math. Soc., 18, pp.63~68 (1967)
  19. W. C. Ma, "A unified treatment of some special classes of univalent functions", Proceedings of the Conference on Complex Analysis(Tiangin), Conference Proceedings, pp.157~169 (1992), International press
  20. G. Murugusudaramoorthy, "Second Hankel Determinant for Bi-univalent analytic functions associated with Hohlov operator", International Journal of Analysis and Applications, 8(1), pp.22~29 (2015)
  21. J. W. Noonan, "On the second Hankel determinant of areally mean p-valent functions", Trans. Amer. Math. Soc., 223(2), pp.337~346 (1976)
  22. H. Orhan, "Bounds for the second Hankel determinant of certain bi-univalent functions", Turkish Journal of Mathematics, 40, pp.679~687 (2016)
  23. C. Pommerenkee, "On the coefficients and Hankel determinants of univalent functions", J. London. Math. Soc., 41, pp.111~122 (1966)
  24. Rayaprolu Bharavi Sharma, "Coefficient Inequalities of Second Hankel Determinants for Some Classes of Bi-Univalent Functions", Mathematics, 4(1), pp.9~ (2016), MDPI AG[DOI]
  25. T. Ram Reddy, "A study of certain subclasses of univalent analytic functions", pp.1983
  26. T. Ram Reddy, "Coefficient inequalities for certain subclasses of analytic functions associated with hankel determinant", Indian Journal of Pure Appl. Math., 46(1), pp.91~106 (2015)
  27. M. S. Robertson, "Certain classes of starlike functions", Michigan Math. J., 76(1), pp.755~758 (1954)
  28. K. Sakaguchi, "On certain univalent mapping", J. Math. Soc. Japan, 11, pp.72~75 (1959)
  29. H. M. Srivastava, "Hankel determinant for a subclass of bi-univalent functions defined by using a symmetric q-derivative operator", Filomat, 32, pp.503~516 (2018)
  30. H. M. Srivastava, "A Certain Subclass of Analytic Functions Defined by Means of Dfferential Subordination", Filomat, 30, pp.3743~3757 (2016)
  31. H. M. Srivastava, "Coefficient estimates for some general subclasses of analytic and bi-univalent functions", Afrika Mat, 28, pp.693~706 (2017)
  32. H. M. Srivastava, "Certain subclasses of analytic and biunivalent functions", Appl. Math. Lett., 23, pp.1188~1199 (2010)
  33. H. M. Srivastava, "Initial coefficient bounds for a subclass of m-fold symmetric bi-univalent functions", Tbilisi Math. J., 7(2), pp.1~10 (2014)
  34. H. M. Srivastava, "Faber polynomial coefficient estimates for bi-univalent functions defined by the Tremblay fractional derivative operator", Bull. Iranian Math. Soc, 44, pp.149~157 (2018)
  35. H. Tang, "The Fekete-Szego functional problems for some classes of m-fold symmetric bi-univalent functions", J. Math. Inequal., 10, pp.1063~1092 (2016)
  36. Q. -H. Xu, "A certain general subclass of analytic and biunivalent functions and associated coefficient estimate problems", Appl. Math. Comput., 218, pp.11461~11465 (2012)
  37. Q. -H. Xu, "Coefficient Estimates for a Certain Subclass of Analytic and Bi-Univalent Functions", Applied Mathematics Letters, 25, pp.990~994 (2012)

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