Asymptotic properties of the solutions of a differential equation appearing in QCD

We establish the asymptotic behaviour of the ratio h^\prime(0)/h(0) for \lambda\rightarrow\infty, where h(r) is a solution, vanishing at infinity, of the differential equation h^{\prime\prime}(r) = i\lambda \omega (r) h(r) on the domain 0 \leq r <\infty and \omega (r) = (1-\sqrt{r} K_1(\sqrt{r}))...

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Detalles Bibliográficos
Autores principales: Chadan, K, Martin, A, Stubbe, J
Lenguaje:eng
Publicado: 1996
Materias:
Particle Physics - Theory
Acceso en línea:https://dx.doi.org/10.1016/0550-3213(96)00427-0
http://cds.cern.ch/record/294878
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author Chadan, K
Martin, A
Stubbe, J
author_facet Chadan, K
Martin, A
Stubbe, J
author_sort Chadan, K
collection CERN
description We establish the asymptotic behaviour of the ratio h^\prime(0)/h(0) for \lambda\rightarrow\infty, where h(r) is a solution, vanishing at infinity, of the differential equation h^{\prime\prime}(r) = i\lambda \omega (r) h(r) on the domain 0 \leq r <\infty and \omega (r) = (1-\sqrt{r} K_1(\sqrt{r}))/r. Some results are valid for more general \omega's.
id cern-294878
institution Organización Europea para la Investigación Nuclear
language eng
publishDate 1996
record_format invenio
spelling cern-2948782019-09-30T06:29:59Zdoi:10.1016/0550-3213(96)00427-0http://cds.cern.ch/record/294878engChadan, KMartin, AStubbe, JAsymptotic properties of the solutions of a differential equation appearing in QCDParticle Physics - TheoryWe establish the asymptotic behaviour of the ratio h^\prime(0)/h(0) for \lambda\rightarrow\infty, where h(r) is a solution, vanishing at infinity, of the differential equation h^{\prime\prime}(r) = i\lambda \omega (r) h(r) on the domain 0 \leq r <\infty and \omega (r) = (1-\sqrt{r} K_1(\sqrt{r}))/r. Some results are valid for more general \omega's.hep-th/9601140CERN-TH-96-001oai:cds.cern.ch:2948781996-01-25
spellingShingle Particle Physics - Theory
Chadan, K
Martin, A
Stubbe, J
Asymptotic properties of the solutions of a differential equation appearing in QCD
title Asymptotic properties of the solutions of a differential equation appearing in QCD
title_full Asymptotic properties of the solutions of a differential equation appearing in QCD
title_fullStr Asymptotic properties of the solutions of a differential equation appearing in QCD
title_full_unstemmed Asymptotic properties of the solutions of a differential equation appearing in QCD
title_short Asymptotic properties of the solutions of a differential equation appearing in QCD
title_sort asymptotic properties of the solutions of a differential equation appearing in qcd
topic Particle Physics - Theory
url https://dx.doi.org/10.1016/0550-3213(96)00427-0
http://cds.cern.ch/record/294878
work_keys_str_mv AT chadank asymptoticpropertiesofthesolutionsofadifferentialequationappearinginqcd
AT martina asymptoticpropertiesofthesolutionsofadifferentialequationappearinginqcd
AT stubbej asymptoticpropertiesofthesolutionsofadifferentialequationappearinginqcd

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