A critical investigation of various subclasses of functions whose real part is bounded

In this paper we investigate various subclasses of univalent analytic functions. We find that many of the subclasses introduced in the recent years are no more new and infact coincide with the class due to Jakubowski. We further study the generalised Jakubowski class of univalent functions and obtai...

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Main Author:	S. K. Bajpai
Format:	Article
Language:	English
Published:	Hindawi Limited 1981-01-01
Series:	International Journal of Mathematics and Mathematical Sciences
Subjects:	univalent starlike convex spiral like bounded functions functions with positive real part.
Online Access:	http://dx.doi.org/10.1155/S0161171281000057

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spelling	doaj-31fe3c79ab8447aa93b2193f7418a2352020-11-25T00:03:23ZengHindawi LimitedInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04251981-01-0141899910.1155/S0161171281000057A critical investigation of various subclasses of functions whose real part is boundedS. K. Bajpai0Universidade de Brasilia, Departamento de Matematica, Brasilia 70.910, DF, BrazilIn this paper we investigate various subclasses of univalent analytic functions. We find that many of the subclasses introduced in the recent years are no more new and infact coincide with the class due to Jakubowski. We further study the generalised Jakubowski class of univalent functions and obtain a representational formula and use it in deriving the coefficient relations for this classhttp://dx.doi.org/10.1155/S0161171281000057univalent starlikeconvexspiral likebounded functionsfunctions with positive real part.
collection	DOAJ
language	English
format	Article
sources	DOAJ
author	S. K. Bajpai
spellingShingle	S. K. Bajpai A critical investigation of various subclasses of functions whose real part is bounded International Journal of Mathematics and Mathematical Sciences univalent starlike convex spiral like bounded functions functions with positive real part.
author_facet	S. K. Bajpai
author_sort	S. K. Bajpai
title	A critical investigation of various subclasses of functions whose real part is bounded
title_short	A critical investigation of various subclasses of functions whose real part is bounded
title_full	A critical investigation of various subclasses of functions whose real part is bounded
title_fullStr	A critical investigation of various subclasses of functions whose real part is bounded
title_full_unstemmed	A critical investigation of various subclasses of functions whose real part is bounded
title_sort	critical investigation of various subclasses of functions whose real part is bounded
publisher	Hindawi Limited
series	International Journal of Mathematics and Mathematical Sciences
issn	0161-1712 1687-0425
publishDate	1981-01-01
description	In this paper we investigate various subclasses of univalent analytic functions. We find that many of the subclasses introduced in the recent years are no more new and infact coincide with the class due to Jakubowski. We further study the generalised Jakubowski class of univalent functions and obtain a representational formula and use it in deriving the coefficient relations for this class
topic	univalent starlike convex spiral like bounded functions functions with positive real part.
url	http://dx.doi.org/10.1155/S0161171281000057
work_keys_str_mv	AT skbajpai acriticalinvestigationofvarioussubclassesoffunctionswhoserealpartisbounded AT skbajpai criticalinvestigationofvarioussubclassesoffunctionswhoserealpartisbounded
_version_	1725434349809041408

A critical investigation of various subclasses of functions whose real part is bounded

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