SECOND HANKEL DETERMINANT PROBLEM FOR SEVERAL CLASSES OF ANALYTIC FUNCTIONS RELATED TO SHELL-LIKE CURVES CONNECTED WITH FIBONACCI NUMBERS

Volume: 8 Number: 1.1 September 1, 2018
  • J. Sokol
  • S. İlhan
  • H.  O. Güney
EN

SECOND HANKEL DETERMINANT PROBLEM FOR SEVERAL CLASSES OF ANALYTIC FUNCTIONS RELATED TO SHELL-LIKE CURVES CONNECTED WITH FIBONACCI NUMBERS

Abstract

In this paper, we investigate upper bounds for the second Hankel determinant in several classes of analytic functions in the open unit disc, related to shell-like curves and connected with Fibonacci numbers.

Keywords

References

  1. Dziok, J., Raina, R. K., Sok´o l, J., 61(2011) 2605-2613, Certain results for a class of convex functions related to a shell-like curve connected with Fibonacci numbers, Comp. Math. Appl.
  2. Dziok, J., Raina, R. K., Sok´o l, 218 (2011) 996–1002, On α−convex functions related to a shell-like curve connected with Fibonacci numbers, Appl. Math. Comp.
  3. Ehrenborg, R., 107 (2000): 557–560, The Hankel determinant of exponential polynomials, Amer. Math. Monthly.
  4. Fekete, M., Szeg¨o, G., Eine Bemerkung, 8 (1933) 85–89, ¨Uber ungerade schlichte Functionen, J. London Math. Soc.
  5. Janteng, A., Halim, S., Darus, M., 7 (2) (2006), Article 50, Coefficient inequality for a function whose derivative has a positive real part, J. Inequal. Pure Appl. Math.
  6. Janteng, A., Halim, S., Darus, M., 1 (13) (2007) 619–625, Hankel determinant for starlike and convex functions, Int. J. Math. Anal.
  7. Keogh, F. R., Merkes,E. P., 20 (1969) 8-12, A coefficient inequality for certain classes of analytic functions, Proc. Amer. Math. Soc.
  8. Layman, J. W., 4 (2001): 1-11. The Hankel transform and some of its properties, J. Integer Sequences

Details

Primary Language

English

Subjects

-

Journal Section

-

Authors

J. Sokol This is me

S. İlhan This is me

H.  O. Güney This is me

Publication Date

September 1, 2018

Submission Date

-

Acceptance Date

-

Published in Issue

Year 2018 Volume: 8 Number: 1.1

APA
Sokol, J., İlhan, S., & Güney, H.  O. (2018). SECOND HANKEL DETERMINANT PROBLEM FOR SEVERAL CLASSES OF ANALYTIC FUNCTIONS RELATED TO SHELL-LIKE CURVES CONNECTED WITH FIBONACCI NUMBERS. TWMS Journal of Applied and Engineering Mathematics, 8(1.1), 220-229. https://izlik.org/JA23ND94LY
AMA
1.Sokol J, İlhan S, Güney H  O. SECOND HANKEL DETERMINANT PROBLEM FOR SEVERAL CLASSES OF ANALYTIC FUNCTIONS RELATED TO SHELL-LIKE CURVES CONNECTED WITH FIBONACCI NUMBERS. JAEM. 2018;8(1.1):220-229. https://izlik.org/JA23ND94LY
Chicago
Sokol, J., S. İlhan, and H.  O. Güney. 2018. “SECOND HANKEL DETERMINANT PROBLEM FOR SEVERAL CLASSES OF ANALYTIC FUNCTIONS RELATED TO SHELL-LIKE CURVES CONNECTED WITH FIBONACCI NUMBERS”. TWMS Journal of Applied and Engineering Mathematics 8 (1.1): 220-29. https://izlik.org/JA23ND94LY.
EndNote
Sokol J, İlhan S, Güney H  O (September 1, 2018) SECOND HANKEL DETERMINANT PROBLEM FOR SEVERAL CLASSES OF ANALYTIC FUNCTIONS RELATED TO SHELL-LIKE CURVES CONNECTED WITH FIBONACCI NUMBERS. TWMS Journal of Applied and Engineering Mathematics 8 1.1 220–229.
IEEE
[1]J. Sokol, S. İlhan, and H.  O. Güney, “SECOND HANKEL DETERMINANT PROBLEM FOR SEVERAL CLASSES OF ANALYTIC FUNCTIONS RELATED TO SHELL-LIKE CURVES CONNECTED WITH FIBONACCI NUMBERS”, JAEM, vol. 8, no. 1.1, pp. 220–229, Sept. 2018, [Online]. Available: https://izlik.org/JA23ND94LY
ISNAD
Sokol, J. - İlhan, S. - Güney, H.  O. “SECOND HANKEL DETERMINANT PROBLEM FOR SEVERAL CLASSES OF ANALYTIC FUNCTIONS RELATED TO SHELL-LIKE CURVES CONNECTED WITH FIBONACCI NUMBERS”. TWMS Journal of Applied and Engineering Mathematics 8/1.1 (September 1, 2018): 220-229. https://izlik.org/JA23ND94LY.
JAMA
1.Sokol J, İlhan S, Güney H  O. SECOND HANKEL DETERMINANT PROBLEM FOR SEVERAL CLASSES OF ANALYTIC FUNCTIONS RELATED TO SHELL-LIKE CURVES CONNECTED WITH FIBONACCI NUMBERS. JAEM. 2018;8:220–229.
MLA
Sokol, J., et al. “SECOND HANKEL DETERMINANT PROBLEM FOR SEVERAL CLASSES OF ANALYTIC FUNCTIONS RELATED TO SHELL-LIKE CURVES CONNECTED WITH FIBONACCI NUMBERS”. TWMS Journal of Applied and Engineering Mathematics, vol. 8, no. 1.1, Sept. 2018, pp. 220-9, https://izlik.org/JA23ND94LY.
Vancouver
1.J. Sokol, S. İlhan, H.  O. Güney. SECOND HANKEL DETERMINANT PROBLEM FOR SEVERAL CLASSES OF ANALYTIC FUNCTIONS RELATED TO SHELL-LIKE CURVES CONNECTED WITH FIBONACCI NUMBERS. JAEM [Internet]. 2018 Sep. 1;8(1.1):220-9. Available from: https://izlik.org/JA23ND94LY