Journal
BULLETIN OF THE MALAYSIAN MATHEMATICAL SCIENCES SOCIETY
Volume 44, Issue 3, Pages 1525-1542Publisher
MALAYSIAN MATHEMATICAL SCIENCES SOC
DOI: 10.1007/s40840-020-01016-4
Keywords
Univalent functions; Starlike function; Generalized telephone numbers; Hankel determinant
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This paper introduces a class of analytic functions related to starlike functions and generating function of generalized telephone numbers. By using bounds on some coefficient functionals, sharp coefficient bounds on the first six coefficients and corresponding Hankel determinants are obtained for functions in this class.
In this paper, we introduced the class S*(T)(lambda) of analytic functions which is related to starlike functions and generating function of generalized telephone numbers. By using bounds on some coefficient functionals for the family of functions with positive real part, we obtain for functions in the class S*(T)(lambda) several sharp coefficient bounds on the first six coefficients and also further sharp bounds on the corresponding Hankel determinants.
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