SOME SUBCLASSES OF ANALYTIC FUNCTIONS WITH
NEGATIVE COEFFICIENTS FOR OPERATORS
ON HILBERT SPACE
Yong Chan Kim1, Jae Ho Choi2
1Department of Mathematics Education
Yeungnam University, Gyongsan 38541, KOREA
2Department 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 some results concerning a sufficient and necessary condition, coefficient estimates and distortion theorem for the class $\mathcal T_{\delta}^{\lambda}(\alpha, A)$. Furthermore, some applications of the fractional calculus for operator on Hilbert space 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: 32
Issue: 4
Year: 2019

DOI: 10.12732/ijam.v32i4.1

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