February 2024 ON A GENERALIZED BRIOT–BOUQUET TYPE DIFFERENTIAL SUBORDINATION
S. Sivaprasad Kumar, Priyanka Goel
Rocky Mountain J. Math. 54(1): 207-226 (February 2024). DOI: 10.1216/rmj.2024.54.207

Abstract

We introduce and study the following special type of differential subordination implication:

p(z)Q(z)+zp(z)βp(z)+αh(z)p(z)h(z),

which generalizes the Briot–Bouquet differential subordination, where Q(z) is analytic and 0β,α. Further, we discuss some special cases of our result. Finally, we obtain analogues of the open door lemma and the integral existence theorem with applications to univalent functions.

Citation

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S. Sivaprasad Kumar. Priyanka Goel. "ON A GENERALIZED BRIOT–BOUQUET TYPE DIFFERENTIAL SUBORDINATION." Rocky Mountain J. Math. 54 (1) 207 - 226, February 2024. https://doi.org/10.1216/rmj.2024.54.207

Information

Received: 31 May 2022; Accepted: 10 November 2022; Published: February 2024
First available in Project Euclid: 28 February 2024

MathSciNet: MR4718514
Digital Object Identifier: 10.1216/rmj.2024.54.207

Subjects:
Primary: 30C45 , 30C50 , 30C80

Keywords: Briot–Bouquet , Starlike functions , Subordination

Rights: Copyright © 2024 Rocky Mountain Mathematics Consortium

Vol.54 • No. 1 • February 2024
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