An application of differential subordinations

By using the method of Briot-Bouquet differential subordinations, we prove and sharpen some classical results in univalent function theory. These also lead to some criteria for univalency in the unit disc.

Bibliographic Details
Main Authors: J. PATEL, S. ROUT
Format: Article
Language:English
Published: Sapienza Università Editrice 1994-03-01
Series:Rendiconti di Matematica e delle Sue Applicazioni
Subjects:
Online Access:https://www1.mat.uniroma1.it/ricerca/rendiconti/ARCHIVIO/1994(3)/367-384.pdf
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author J. PATEL
S. ROUT
author_facet J. PATEL
S. ROUT
author_sort J. PATEL
collection DOAJ
description By using the method of Briot-Bouquet differential subordinations, we prove and sharpen some classical results in univalent function theory. These also lead to some criteria for univalency in the unit disc.
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spelling doaj.art-594705f728c5460b9dfbd50adf0cc9b32023-06-05T13:09:52ZengSapienza Università EditriceRendiconti di Matematica e delle Sue Applicazioni1120-71832532-33501994-03-01143367384An application of differential subordinationsJ. PATEL0S. ROUT1Department of Mathematics – Utkal University – Vani Vihar – Bhubaneswar 751004, IndiaDepartment of Mathematics – Utkal University – Vani Vihar – Bhubaneswar 751004, IndiaBy using the method of Briot-Bouquet differential subordinations, we prove and sharpen some classical results in univalent function theory. These also lead to some criteria for univalency in the unit disc. https://www1.mat.uniroma1.it/ricerca/rendiconti/ARCHIVIO/1994(3)/367-384.pdfstarlike functionsconvex functionsdifferential subordination
spellingShingle J. PATEL
S. ROUT
An application of differential subordinations
Rendiconti di Matematica e delle Sue Applicazioni
starlike functions
convex functions
differential subordination
title An application of differential subordinations
title_full An application of differential subordinations
title_fullStr An application of differential subordinations
title_full_unstemmed An application of differential subordinations
title_short An application of differential subordinations
title_sort application of differential subordinations
topic starlike functions
convex functions
differential subordination
url https://www1.mat.uniroma1.it/ricerca/rendiconti/ARCHIVIO/1994(3)/367-384.pdf
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