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A Phragmén–Lindelöf Theorem via Proximate Orders, and the Propagation of Asymptotics

We prove that, for asymptotically bounded holomorphic functions in a sector in [Formula: see text] an asymptotic expansion in a single direction towards the vertex with constraints in terms of a logarithmically convex sequence admitting a nonzero proximate order entails asymptotic expansion in the w...

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Detalles Bibliográficos
Autores principales: Jiménez-Garrido, Javier, Sanz, Javier, Schindl, Gerhard
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer US 2019
Materias:
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC7588400/
https://www.ncbi.nlm.nih.gov/pubmed/33132667
http://dx.doi.org/10.1007/s12220-019-00203-5

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