论文信息 - SECOND HANKEL DETERMINANT PROBLEM FOR SEVERAL CLASSES OF ANALYTIC FUNCTIONS RELATED TO SHELL-LIKE CURVES CONNECTED WITH FIBONACCI NUMBERS - 字舞流文

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

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.

H. ÖZLEM GÜNEY | JANUSZ SOKÓ | SEDAT İLHAN

[1] Jacek Dziok,et al. On α-convex functions related to shell-like functions connected with Fibonacci numbers , 2011, Appl. Math. Comput..

[2] Suzeini Abd Halim,et al. Hankel Determinant for starlike and convex functions. , 2007 .

[3] Richard J. Libera,et al. Coefficient bounds for the inverse of a function with derivative in . II , 1983 .

[4] J. Layman. The Hankel transform and some of its properties. , 2001 .

[5] D. K. Thomas,et al. On the second Hankel determinant of areally mean $p$-valent functions , 1976 .

[6] Richard Ehrenborg,et al. The Hankel Determinant of Exponential Polynomials , 2000, Am. Math. Mon..

[7] M. Fekete,et al. Eine Bemerkung Über Ungerade Schlichte Funktionen , 1933 .

[8] Jacek Dziok,et al. Certain results for a class of convex functions related to a shell-like curve connected with Fibonacci numbers , 2011, Comput. Math. Appl..

[9] Syed Tauseef Mohyud-Din,et al. A Coefficient Inequality for Certain Classes of Analytic Functions , 2012 .

[10] Maslina Darus,et al. Coefficient inequality for a function whose derivative has a positive real part , 2006 .