1. APPLICATIONS OF BRIOT--BOUQUET DIFFERENTIAL SUBORDINATION.
- Author
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BOHRA, NISHA, KUMAR, SUSHIL, and RAVICHANDRAN, V.
- Subjects
SUBORDINATION (Psychology) ,RATIONAL choice theory ,HYPERGEOMETRIC functions ,EXPONENTIAL functions - Abstract
Sharp estimates on β in Briot-Bouquet differential subordination p(z) + βzp′(z)/p(z) ≺ h(z) are obtained so that its solution p is subordinate to some specific Carathéodory functions. As an application, the estimates on β are obtained so that the integral operator β
-1 ∫0 z ƒ¹/β (t)t-1 dt maps the class of starlike functions ƒ satisfying zƒ′(z)ƒ(z) ≺ 1+z to various subclasses of class of starlike functions. Further, a sufficient condition is established for parabolic starlikeness. [ABSTRACT FROM AUTHOR]- Published
- 2021
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