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Exponential type

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 e C | z | {\displaystyle e^{C|z|}} for some real-valued constant C {\displaystyle C} as | z | → ∞ {\displaystyle |z|\to \infty } . When a function is bounded in this way, it is then possible to…

Exponential type with respect to a symmetric convex body, Basic idea & Fréchet space

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Exponential type with respect to a symmetric convex body

Stein (1957)Entire functionsSeveral complex variablesConvexCompact
8 related topics

Basic idea

Complex planeComplex variableInfimumCarlson's theoremFinite differences
5 related topics

Fréchet space

CompleteUniform spaceFréchet spaceTopology
4 related topics

Formal definition

Limit superiorSupremum
2 related topics

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Basic idea

Formal definition

Exponential type with respect to a symmetric convex body

Fréchet space

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Exponential type

Nodes35
Edges34
Triples26
Avg. degree1.94
Density0.057143
Components1

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Exponential type

Top relations

related to References · 10
Exponential type → Ann, Functions, JSTOR, Lock-gray-alt-2, Lock-green, Lock-red-alt-2, Math, MR, Stein, Wikisource-logo
related to Exponential type with respect to a symmetric convex body · 5
Exponential type → In, It, Stein, Suppose, The
related to Basic idea · 2
Exponential type → Here, Letting
related to Formal definition · 2
Exponential type → The, We
related to Fréchet space · 2
Exponential type → Collections, Fréchet

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Important terminology

displaystyle exponential type function complex functions real-valued limit mathbb said example theorem symmetric convex goes infinity 10 constant infty bounded

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SubjectPredicateObjectConfidenceSrc
Borel summationinstance ofas well as understanding when it is possible to apply techniques0.80text
orinstance ofas well as understanding when it is possible to apply techniques0.80text
for exampleinstance ofas well as understanding when it is possible to apply techniques0.80text
to apply the Mellin transforminstance ofas well as understanding when it is possible to apply techniques0.80text
or to perform approximations using the Eulerinstance ofas well as understanding when it is possible to apply techniques0.80text
Exponential typerelated to Basic ideaHere0.60section
Exponential typerelated to Basic ideaLetting0.60section
Exponential typerelated to Exponential type with respect to a symmetric convex bodyStein0.60section
Exponential typerelated to Exponential type with respect to a symmetric convex bodySuppose0.60section
Exponential typerelated to Exponential type with respect to a symmetric convex bodyIt0.60section
Exponential typerelated to Exponential type with respect to a symmetric convex bodyIn0.60section
Exponential typerelated to Exponential type with respect to a symmetric convex bodyThe0.60section

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