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- Exponential_type abstract "In complex analysis, a branch of mathematics, a holomorphic function is said to be of exponential type C if its growth is bounded by the exponential function eC|z| for some constant C as |z|→∞. When a function is bounded in this way, it is then possible to express it as certain kinds of convergent summations over a series of other complex functions, as well as understanding when it is possible to apply techniques such as Borel summation, or, for example, to apply the Mellin transform, or to perform approximations using the Euler-MacLaurin formula. The general case is handled by Nachbin's theorem, which defines the analogous notion of Ψ-type for a general function Ψ(z) as opposed to ez.".
- Exponential_type thumbnail ExtremeGaussian.png?width=300.
- Exponential_type wikiPageID "4081509".
- Exponential_type wikiPageRevisionID "603406595".
- Exponential_type hasPhotoCollection Exponential_type.
- Exponential_type subject Category:Complex_analysis.
- Exponential_type comment "In complex analysis, a branch of mathematics, a holomorphic function is said to be of exponential type C if its growth is bounded by the exponential function eC|z| for some constant C as |z|→∞.".
- Exponential_type label "Exponential type".
- Exponential_type sameAs m.0ggbhvd.
- Exponential_type sameAs Q5421531.
- Exponential_type sameAs Q5421531.
- Exponential_type wasDerivedFrom Exponential_type?oldid=603406595.
- Exponential_type depiction ExtremeGaussian.png.
- Exponential_type isPrimaryTopicOf Exponential_type.
