NDLI: Some applications of differential subordination

Content Provider	Scilit
Author	Padmanabhan, K. S. Parvatham, R.
Copyright Year	1985
Description	Let $S_{a}$ (h) denote the class of analytic functions f on the unit disc E with f (0) =0 = f′ (0) −1 satisfying , where (a real), denotes the Hadamard product of $K_{a}$ with f, and h is a convex univalent function on E, with Re h > 0. Let . It is proved that F ε $S_{a}$ (h) whenever f ε $S_{a}$ (h) and also that for a ≥ 1. Three more such classes are introduced and studied here. The method of differential subordination due to Eenigenburg et al. is used.
Related Links	https://www.cambridge.org/core/services/aop-cambridge-core/content/view/7062FED673A91B95D0B91C92D2225C5D/S0004972700002410a.pdf/div-class-title-some-applications-of-differential-subordination-div.pdf
Ending Page	330
Page Count	10
Starting Page	321
ISSN	00049727
e-ISSN	17551633
DOI	10.1017/s0004972700002410
Journal	Bulletin of the Australian Mathematical Society
Issue Number	3
Volume Number	32
Language	English
Publisher	Cambridge University Press (CUP)
Publisher Date	1985-12-01
Access Restriction	Open
Subject Keyword	Bulletin of the Australian Mathematical Society Applied Mathematics Differential Subordination
Content Type	Text
Resource Type	Article
Subject	Mathematics

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Some applications of differential subordination