SECOND HANKEL DETERMINANT FOR A CLASS
OF ANALYTIC FUNCTIONS DEFINED
BY RUSCHEWEYH DERIVATIVE
Jae Ho Choi
Department of Mathematics Education
Daegu National University of Education
219 Jungangdaero, Namgu, Daegu 42411, KOREA

Abstract

The main object of the present paper is to investigate the upper bound of the second Hankel determinant $\vert a_{2}a_{4} - a_{3}^{2}\vert$ for the analytic functions defined by Ruscheweyh derivative. Furthermore, several basic properties such as inclusion, Hadamard product are also considered.

Citation details of the article



Journal: International Journal of Applied Mathematics
Journal ISSN (Print): ISSN 1311-1728
Journal ISSN (Electronic): ISSN 1314-8060
Volume: 33
Issue: 4
Year: 2020

DOI: 10.12732/ijam.v33i4.6

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