GENERALIZED HANKEL DETERMINANT FOR A GENERAL SUBCLASS OF UNIVALENT FUNCTIONS

Volume: 8 Number: 1.1 September 1, 2018
  • S. Yalçın
  • S. Owa
EN

GENERALIZED HANKEL DETERMINANT FOR A GENERAL SUBCLASS OF UNIVALENT FUNCTIONS

Abstract

Making use of the generalized Hankel determinant, in this work, we consider a general subclass of univalent functions. Moreover, upper bounds are obtained for a3

Keywords

References

  1. Bucur, R., Andrei, L. and Breaz, D., (2015), Coefficient bounds and Fekete–Szeg¨o problem for a class of analytic functions defined by using a new differential operator, Appl. Math. Sci., 9, pp. 1355 -1368.
  2. Ding, S. S., Ling, Y.and Bao, G. J., (1995), Some properties of a class of analytic functions, J. Math. Anal. Appl., 195, pp. 71-81.
  3. Fekete, M. and Szeg¨o, G., (1933), Eine Bemerkung ¨Uber Ungerade Schlichte Funktionen, J. Lond. Math. Soc., 2, pp. 85-89.
  4. El-Ashwah, R. and Kanas, S., (2015), Fekete-Szeg¨o inequalities for quasi-subordination functions classes of complex order, Kyungpook Math. J., 55, pp. 679-688.
  5. Kumar, S. S. and Kumar, V., (2014), On Fekete–Szeg¨o inequality for certain class of analytic functions, Acta Univ. Apulensis Math. Inform., 37, pp. 211-222.
  6. Kowalczyk, B. and Lecko, A., (2015), Fekete–Szeg¨o problem for a certain subclass of close-to-convex functions, Bull. Malays. Math. Sci. Soc., 3, pp. 1393-1410.
  7. Noonan, J. W. and Thomas, D. K., (1976), On the second Hankel determinant of areally mean p-valent functions, Trans. Amer. Math. Soc., 223, pp. 337–346.
  8. Noor, K. I., (1983), Hankel determinant problem for the class of functions with bounded boundary rotation, Rev. Roum. Math. Pures Et. Appl., 28, pp. 731-739.

Details

Primary Language

English

Subjects

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Journal Section

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Authors

S. Yalçın This is me

Publication Date

September 1, 2018

Submission Date

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Acceptance Date

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Published in Issue

Year 2018 Volume: 8 Number: 1.1

APA
Yalçın, S., & Owa, S. (2018). GENERALIZED HANKEL DETERMINANT FOR A GENERAL SUBCLASS OF UNIVALENT FUNCTIONS. TWMS Journal of Applied and Engineering Mathematics, 8(1.1), 311-317. https://izlik.org/JA65AM34ZX
AMA
1.Yalçın S, Owa S. GENERALIZED HANKEL DETERMINANT FOR A GENERAL SUBCLASS OF UNIVALENT FUNCTIONS. JAEM. 2018;8(1.1):311-317. https://izlik.org/JA65AM34ZX
Chicago
Yalçın, S., and S. Owa. 2018. “GENERALIZED HANKEL DETERMINANT FOR A GENERAL SUBCLASS OF UNIVALENT FUNCTIONS”. TWMS Journal of Applied and Engineering Mathematics 8 (1.1): 311-17. https://izlik.org/JA65AM34ZX.
EndNote
Yalçın S, Owa S (September 1, 2018) GENERALIZED HANKEL DETERMINANT FOR A GENERAL SUBCLASS OF UNIVALENT FUNCTIONS. TWMS Journal of Applied and Engineering Mathematics 8 1.1 311–317.
IEEE
[1]S. Yalçın and S. Owa, “GENERALIZED HANKEL DETERMINANT FOR A GENERAL SUBCLASS OF UNIVALENT FUNCTIONS”, JAEM, vol. 8, no. 1.1, pp. 311–317, Sept. 2018, [Online]. Available: https://izlik.org/JA65AM34ZX
ISNAD
Yalçın, S. - Owa, S. “GENERALIZED HANKEL DETERMINANT FOR A GENERAL SUBCLASS OF UNIVALENT FUNCTIONS”. TWMS Journal of Applied and Engineering Mathematics 8/1.1 (September 1, 2018): 311-317. https://izlik.org/JA65AM34ZX.
JAMA
1.Yalçın S, Owa S. GENERALIZED HANKEL DETERMINANT FOR A GENERAL SUBCLASS OF UNIVALENT FUNCTIONS. JAEM. 2018;8:311–317.
MLA
Yalçın, S., and S. Owa. “GENERALIZED HANKEL DETERMINANT FOR A GENERAL SUBCLASS OF UNIVALENT FUNCTIONS”. TWMS Journal of Applied and Engineering Mathematics, vol. 8, no. 1.1, Sept. 2018, pp. 311-7, https://izlik.org/JA65AM34ZX.
Vancouver
1.S. Yalçın, S. Owa. GENERALIZED HANKEL DETERMINANT FOR A GENERAL SUBCLASS OF UNIVALENT FUNCTIONS. JAEM [Internet]. 2018 Sep. 1;8(1.1):311-7. Available from: https://izlik.org/JA65AM34ZX