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- Bounded_type_(mathematics) abstract "In mathematics, a function defined on a region of the complex plane is said to be of bounded type if it is the ratio of two analytic functions bounded in that region. But more generally, a function is of bounded type in a region if and only if is analytic on and has a harmonic majorant on where . Being the ratio of two bounded analytic functions is a sufficient condition for a function to be of bounded type (defined in terms of a harmonic majorant), and if is simply connected the condition is also necessary.The class of all such on is commonly denoted and is sometimes called the Nevanlinna class for . The Nevanlinna class includes all the Hardy classes.Functions of bounded type are not necessarily bounded, nor do they have a property called "type" which is bounded. The reason for the name is probably that when defined on a disc, the Nevanlinna characteristic (a function of distance from the centre of the disc) is bounded.".
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- Bounded_type_(mathematics) subject Category:Articles_created_via_the_Article_Wizard.
- Bounded_type_(mathematics) subject Category:Complex_analysis.
- Bounded_type_(mathematics) subject Category:Special_functions.
- Bounded_type_(mathematics) subject Category:Types_of_functions.
- Bounded_type_(mathematics) type Abstraction100002137.
- Bounded_type_(mathematics) type Function113783816.
- Bounded_type_(mathematics) type MathematicalRelation113783581.
- Bounded_type_(mathematics) type Relation100031921.
- Bounded_type_(mathematics) type SpecialFunctions.
- Bounded_type_(mathematics) comment "In mathematics, a function defined on a region of the complex plane is said to be of bounded type if it is the ratio of two analytic functions bounded in that region. But more generally, a function is of bounded type in a region if and only if is analytic on and has a harmonic majorant on where .".
- Bounded_type_(mathematics) label "Bounded type (mathematics)".
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