Majorization problems for certain starlike functions associated with the exponential function
DOI:
https://doi.org/10.24193/subbmath.2022.4.05Keywords:
Univalent, starlike, exponential function, majorization, subordination, Bell numbers.Abstract
Let S∗ and S∗ denote the class of analytic functions f in the open unit e B disc normalized by f (0) = 0 = f t(0) − 1 and satisfying, respectively, the following subordination relations: zf t(z) z f (z) ≺ e and zf t(z) f (z) ≺ e ez −1. In this article, we investigate majorization problems for the classes S∗ and S∗ e B without acting upon any linear or nonlinear operators.
Mathematics Subject Classification (2010): 30C45.
Received 22 September 2019; Accepted 04 February 2020.
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