Radii of starlikeness of some special functions

Detalhes bibliográficos
Autor(a) principal: Baricz, �rp�d
Data de Publicação: 2016
Outros Autores: Dimitrov, Dimitar K. [UNESP], Orhan, Halit, Yağmur, Nihat
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Institucional da UNESP
Texto Completo: http://dx.doi.org/10.1090/proc/13120
http://hdl.handle.net/11449/172974
Resumo: Geometric properties of the classical Lommel and Struve functions, both of the first kind, are studied. For each of them, three different normalizations are applied in such a way that the resulting functions are analytic in the unit disk of the complex plane. For each of the six functions we determine the radius of starlikeness precisely.
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spelling Radii of starlikeness of some special functionsLommel functions of the first kindRadius of starlikenessStarlike functionsStruve functionsTrigonometric integralsUnivalentZeros of Lommel functions of the first kindZeros of Struve functionsGeometric properties of the classical Lommel and Struve functions, both of the first kind, are studied. For each of them, three different normalizations are applied in such a way that the resulting functions are analytic in the unit disk of the complex plane. For each of the six functions we determine the radius of starlikeness precisely.Department of Economics Babeş-Bolyai UniversityInstitute of Applied Mathematics �buda UniversityDepartamento de Matem�tica Aplicada IBILCE Universidade Estadual Paulista UNESP, S�o Jos� do Rio PretoDepartment of Mathematics Faculty of Science Atat�rk UniversityDepartment of Mathematics Faculty of Arts and Science Erzincan UniversityDepartamento de Matem�tica Aplicada IBILCE Universidade Estadual Paulista UNESP, S�o Jos� do Rio PretoBabeş-Bolyai University�buda UniversityUniversidade Estadual Paulista (Unesp)Atat�rk UniversityErzincan UniversityBaricz, �rp�dDimitrov, Dimitar K. [UNESP]Orhan, HalitYağmur, Nihat2018-12-11T17:02:57Z2018-12-11T17:02:57Z2016-01-01info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/article3355-3367application/pdfhttp://dx.doi.org/10.1090/proc/13120Proceedings of the American Mathematical Society, v. 144, n. 8, p. 3355-3367, 2016.1088-68260002-9939http://hdl.handle.net/11449/17297410.1090/proc/131202-s2.0-849697595412-s2.0-84969759541.pdf2-s2.0-84969759541.pdfScopusreponame:Repositório Institucional da UNESPinstname:Universidade Estadual Paulista (UNESP)instacron:UNESPengProceedings of the American Mathematical Society1,1831,183info:eu-repo/semantics/openAccess2023-11-02T06:08:50Zoai:repositorio.unesp.br:11449/172974Repositório InstitucionalPUBhttp://repositorio.unesp.br/oai/requestopendoar:29462024-08-05T16:42:54.762767Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)false
dc.title.none.fl_str_mv Radii of starlikeness of some special functions
title Radii of starlikeness of some special functions
spellingShingle Radii of starlikeness of some special functions
Baricz, �rp�d
Lommel functions of the first kind
Radius of starlikeness
Starlike functions
Struve functions
Trigonometric integrals
Univalent
Zeros of Lommel functions of the first kind
Zeros of Struve functions
title_short Radii of starlikeness of some special functions
title_full Radii of starlikeness of some special functions
title_fullStr Radii of starlikeness of some special functions
title_full_unstemmed Radii of starlikeness of some special functions
title_sort Radii of starlikeness of some special functions
author Baricz, �rp�d
author_facet Baricz, �rp�d
Dimitrov, Dimitar K. [UNESP]
Orhan, Halit
Yağmur, Nihat
author_role author
author2 Dimitrov, Dimitar K. [UNESP]
Orhan, Halit
Yağmur, Nihat
author2_role author
author
author
dc.contributor.none.fl_str_mv Babeş-Bolyai University
�buda University
Universidade Estadual Paulista (Unesp)
Atat�rk University
Erzincan University
dc.contributor.author.fl_str_mv Baricz, �rp�d
Dimitrov, Dimitar K. [UNESP]
Orhan, Halit
Yağmur, Nihat
dc.subject.por.fl_str_mv Lommel functions of the first kind
Radius of starlikeness
Starlike functions
Struve functions
Trigonometric integrals
Univalent
Zeros of Lommel functions of the first kind
Zeros of Struve functions
topic Lommel functions of the first kind
Radius of starlikeness
Starlike functions
Struve functions
Trigonometric integrals
Univalent
Zeros of Lommel functions of the first kind
Zeros of Struve functions
description Geometric properties of the classical Lommel and Struve functions, both of the first kind, are studied. For each of them, three different normalizations are applied in such a way that the resulting functions are analytic in the unit disk of the complex plane. For each of the six functions we determine the radius of starlikeness precisely.
publishDate 2016
dc.date.none.fl_str_mv 2016-01-01
2018-12-11T17:02:57Z
2018-12-11T17:02:57Z
dc.type.status.fl_str_mv info:eu-repo/semantics/publishedVersion
dc.type.driver.fl_str_mv info:eu-repo/semantics/article
format article
status_str publishedVersion
dc.identifier.uri.fl_str_mv http://dx.doi.org/10.1090/proc/13120
Proceedings of the American Mathematical Society, v. 144, n. 8, p. 3355-3367, 2016.
1088-6826
0002-9939
http://hdl.handle.net/11449/172974
10.1090/proc/13120
2-s2.0-84969759541
2-s2.0-84969759541.pdf
2-s2.0-84969759541.pdf
url http://dx.doi.org/10.1090/proc/13120
http://hdl.handle.net/11449/172974
identifier_str_mv Proceedings of the American Mathematical Society, v. 144, n. 8, p. 3355-3367, 2016.
1088-6826
0002-9939
10.1090/proc/13120
2-s2.0-84969759541
2-s2.0-84969759541.pdf
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv Proceedings of the American Mathematical Society
1,183
1,183
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv 3355-3367
application/pdf
dc.source.none.fl_str_mv Scopus
reponame:Repositório Institucional da UNESP
instname:Universidade Estadual Paulista (UNESP)
instacron:UNESP
instname_str Universidade Estadual Paulista (UNESP)
instacron_str UNESP
institution UNESP
reponame_str Repositório Institucional da UNESP
collection Repositório Institucional da UNESP
repository.name.fl_str_mv Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)
repository.mail.fl_str_mv
_version_ 1808128690901483520

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