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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...
Autores principales: | , , |
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Formato: | Online Artículo Texto |
Lenguaje: | English |
Publicado: |
Springer US
2019
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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 |