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Symmetry 2019, 11(2), 219; https://doi.org/10.3390/sym11020219

Starlike Functions Related to the Bell Numbers

1
Department of Applied Mathematics, Pukyong National University, Busan 48513, Korea
2
Bharati Vidyapeeth’s College of Engineering, Delhi 110063, India
3
Department of Mathematics, Ramanujan College, University of Delhi, Kalkaji, New Delhi 110019, India
4
Department of Mathematics, National Institute of Technology, Tiruchirappalli, Tamil Nadu 620015, India
5
Department of Mathematics and Statistics, University of Victoria, Victoria, BC V8W 3R4, Canada
6
Department of Medical Research, China Medical University Hospital, China Medical University, Taichung 40402, Taiwan
*
Authors to whom correspondence should be addressed.
Received: 19 January 2019 / Revised: 8 February 2019 / Accepted: 12 February 2019 / Published: 13 February 2019
(This article belongs to the Special Issue Integral Transforms and Operational Calculus)
Full-Text   |   PDF [315 KB, uploaded 15 February 2019]

Abstract

The present paper aims to establish the first order differential subordination relations between functions with a positive real part and starlike functions related to the Bell numbers. In addition, several sharp radii estimates for functions in the class of starlike functions associated with the Bell numbers are determined. View Full-Text
Keywords: differential subordination; starlike functions; Bell numbers; radius estimate differential subordination; starlike functions; Bell numbers; radius estimate
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited (CC BY 4.0).
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Cho, N.E.; Kumar, S.; Kumar, V.; Ravichandran, V.; Srivastava, H.M. Starlike Functions Related to the Bell Numbers. Symmetry 2019, 11, 219.

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