Universally prestarlike functions associated with shell like domain

  • K. Vijaya Department of Mathematics School of Advanced Sciences Vellore Institute of Technoloy Vellore, India
  • G. Murugusundaramoorthy Department of Mathematics School of Advanced Sciences Vellore Institute of Technoloy Vellore, India
  • S. Yalçın Department of Mathematics Faculty of Arts and Science Bursa Uludag University Bursa, Turkey
Keywords: analytic functions; prestarlike functions; universally prestarlike functions; second hankel determinant

Abstract

In this paper, we introduce universally prestarlike
generalized functions of order $\vartheta $ with $\vartheta \leq 1$ associated with shell like domain, and we get
coefficient bounds and the second Hankel determinant $|a_{2}a_{4}-a_{3}^{2}|$ for
such functions.

Author Biographies

K. Vijaya, Department of Mathematics School of Advanced Sciences Vellore Institute of Technoloy Vellore, India

Department of Mathematics School of Advanced Sciences
Vellore Institute of Technoloy
Vellore, India

G. Murugusundaramoorthy, Department of Mathematics School of Advanced Sciences Vellore Institute of Technoloy Vellore, India

Department of Mathematics School of Advanced Sciences
Vellore Institute of Technoloy
Vellore, India

S. Yalçın, Department of Mathematics Faculty of Arts and Science Bursa Uludag University Bursa, Turkey

Department of Mathematics Faculty of Arts and Science
Bursa Uludag University
Bursa, Turkey

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Published
2022-03-31
How to Cite
Vijaya, K., Murugusundaramoorthy, G., & Yalçın, S. (2022). Universally prestarlike functions associated with shell like domain. Matematychni Studii, 57(1), 53-61. https://doi.org/10.30970/ms.57.1.53-61
Section
Articles