Possible Intervals for T- and M-Orders of Solutions of Linear Differential Equations in the Unit Disc

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dc.contributor.authorChuaqui, Martin
dc.contributor.authorGrohn, Janne
dc.contributor.authorHeittokangas, Janne
dc.contributor.authorRattya, Jouni
dc.date.accessioned2024-01-10T13:52:15Z
dc.date.available2024-01-10T13:52:15Z
dc.date.issued2011
dc.description.abstractIn the case of the complex plane, it is known that there exists a finite set of rational numbers containing all possible growth orders of solutions of f((k)) + a(k-1)(z)f((k-1)) + ... + a(1)(z)f' + a(0)(z)f = 0 with polynomial coefficients. In the present paper, it is shown by an example that a unit disc counterpart of such finite set does not contain all possible T- and M-orders of solutions, with respect to Nevanlinna characteristic and maximum modulus, if the coefficients are analytic functions belonging either to weighted Bergman spaces or to weighted Hardy spaces. In contrast to a finite set, possible intervals for T- and M-orders are introduced to give detailed information about the growth of solutions. Finally, these findings yield sharp lower bounds for the sums of T- and M-orders of functions in the solution bases.
dc.description.funderFondecyt
dc.description.funderMecesup
dc.description.funderAcademy of Finland
dc.description.funderFinnish Cultural Foundation, North Karelia Regional
dc.description.funderVaisala Fund of Finnish Science and Letters
dc.description.funderMICINN, Spain
dc.description.funderJunta de Andalucia, Spain
dc.description.funderEuropean Science Foundation RNP HCAA
dc.fechaingreso.objetodigital2024-05-10
dc.format.extent25 páginas
dc.fuente.origenWOS
dc.identifier.doi10.1155/2011/928194
dc.identifier.issn1085-3375
dc.identifier.urihttps://doi.org/10.1155/2011/928194
dc.identifier.urihttps://repositorio.uc.cl/handle/11534/79653
dc.identifier.wosidWOS:000296814000001
dc.information.autorucMatemática;Chuaqui M ;S/I;75421
dc.language.isoen
dc.nota.accesocontenido completo
dc.publisherHINDAWI PUBLISHING CORPORATION
dc.revistaABSTRACT AND APPLIED ANALYSIS
dc.rightsacceso abierto
dc.subjectCOEFFICIENTS
dc.subjectGROWTH
dc.subject.ods08 Decent Work and Economic Growth
dc.subject.odspa08 Trabajo decente y crecimiento económico
dc.titlePossible Intervals for T- and M-Orders of Solutions of Linear Differential Equations in the Unit Disc
dc.typeartículo
sipa.codpersvinculados75421
sipa.indexWOS
sipa.trazabilidadCarga SIPA;09-01-2024
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