On Some Problems of James Miller

We consider the class of meromorphic univalent functions having a simple pole at <img border=0 width=111 height=19 src="http:/fbpe/img/cubo/v12n1/img7.jpg">and that map the unit disc onto the exterior of a domain which is starlike with respect to a point <img border=0 width=123 he...

Descripción completa

Guardado en:

Detalles Bibliográficos
Autores principales:	Bhowmik,B, Ponnusamy,S, Wirths,K.-J
Lenguaje:	English
Publicado:	Universidad de La Frontera. Departamento de Matemática y Estadística. 2010
Materias:	Starlike meromorphic and Schwarz’ Taylor coefficient
Acceso en línea:	http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0719-06462010000100003
Etiquetas:	Agregar Etiqueta Sin Etiquetas, Sea el primero en etiquetar este registro!

id	oai:scielo:S0719-06462010000100003
record_format	dspace
spelling	oai:scielo:S0719-064620100001000032018-10-08On Some Problems of James MillerBhowmik,BPonnusamy,SWirths,K.-J Starlike meromorphic and Schwarz’ Taylor coefficient We consider the class of meromorphic univalent functions having a simple pole at <img border=0 width=111 height=19 src="http:/fbpe/img/cubo/v12n1/img7.jpg">and that map the unit disc onto the exterior of a domain which is starlike with respect to a point <img border=0 width=123 height=21 src="http:/fbpe/img/cubo/v12n1/img5.jpg">. We denote this class of functions by <img border=0 width=108 height=23 src="http:/fbpe/img/cubo/v12n1/img6.jpg">. In this paper, we find the exact region of variability for the second Taylor coefficient for functions in <img border=0 width=104 height=22 src="http:/fbpe/img/cubo/v12n1/img6.jpg">. In view of this result we rectify some results of James Miller.info:eu-repo/semantics/openAccessUniversidad de La Frontera. Departamento de Matemática y Estadística.Cubo (Temuco) v.12 n.1 20102010-01-01text/htmlhttp://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0719-06462010000100003en10.4067/S0719-06462010000100003
institution	Scielo Chile
collection	Scielo Chile
language	English
topic	Starlike meromorphic and Schwarz’ Taylor coefficient
spellingShingle	Starlike meromorphic and Schwarz’ Taylor coefficient Bhowmik,B Ponnusamy,S Wirths,K.-J On Some Problems of James Miller
description	We consider the class of meromorphic univalent functions having a simple pole at <img border=0 width=111 height=19 src="http:/fbpe/img/cubo/v12n1/img7.jpg">and that map the unit disc onto the exterior of a domain which is starlike with respect to a point <img border=0 width=123 height=21 src="http:/fbpe/img/cubo/v12n1/img5.jpg">. We denote this class of functions by <img border=0 width=108 height=23 src="http:/fbpe/img/cubo/v12n1/img6.jpg">. In this paper, we find the exact region of variability for the second Taylor coefficient for functions in <img border=0 width=104 height=22 src="http:/fbpe/img/cubo/v12n1/img6.jpg">. In view of this result we rectify some results of James Miller.
author	Bhowmik,B Ponnusamy,S Wirths,K.-J
author_facet	Bhowmik,B Ponnusamy,S Wirths,K.-J
author_sort	Bhowmik,B
title	On Some Problems of James Miller
title_short	On Some Problems of James Miller
title_full	On Some Problems of James Miller
title_fullStr	On Some Problems of James Miller
title_full_unstemmed	On Some Problems of James Miller
title_sort	on some problems of james miller
publisher	Universidad de La Frontera. Departamento de Matemática y Estadística.
publishDate	2010
url	http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0719-06462010000100003
work_keys_str_mv	AT bhowmikb onsomeproblemsofjamesmiller AT ponnusamys onsomeproblemsofjamesmiller AT wirthskj onsomeproblemsofjamesmiller
_version_	1714206761979740160

On Some Problems of James Miller

Ejemplares similares