Results 31 to 40 of about 958 (219)
Herglotz-Nevanlinna class in several variables [PDF]
, 2020 This will be a survey of known results, with emphasis on constructive aspects, rational solutions, comparison between several integral transforms which are related to the Herglotz-Nevanlinna class of functions in classical domains.Non UBCUnreviewedAuthor
Putinar, Mihai
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Generalized Nevanlinna Functions: Operator Representations, Asymptotic Behavior [PDF]
, 2015 This article gives an introduction and short overview on generalized Nevanlinna functions, with special focus on asymptotic behavior and its relation to the operator representation.
Annemarie Luger, Luger, Annemarie,
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Value Distribution for a Class of Small Functions in the Unit Disk
International Journal of Mathematics and Mathematical Sciences, 2011 If 𝑓 is a meromorphic function in the complex plane, R. Nevanlinna noted that its characteristic function 𝑇(𝑟,𝑓) could be used to categorize 𝑓 according to its rate of growth as |𝑧|=𝑟→∞. Later H.
Paul A. Gunsul
doaj +1 more source
Advances in Difference Equations, 2021 This paper is concerned with description of the existence and the forms of entire solutions of several second-order partial differential-difference equations with more general forms of Fermat type.
Hong Yan Xu +3 more
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Nevanlinna theory of the Askey–Wilson divided difference operator [PDF]
, 2018 This paper establishes a version of Nevanlinna theory based on Askey–Wilson divided difference operator for meromorphic functions of finite logarithmic order in the complex plane C.
Chiang, Yik Man +3 more
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Nevanlinna theory, normal families, and algebraic differential equations [PDF]
, 2017 This book offers a modern introduction to Nevanlinna theory and its intricate relation to the theory of normal families, algebraic functions, asymptotic series, and algebraic differential equations.
Steinmetz, Norbert, Norbert Steinmetz
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Oppenheim–Schur inequalities for causal products
Bulletin of the London Mathematical Society, Volume 58, Issue 6, June 2026.Abstract We establish a class of Oppenheim–Schur‐type inequalities for the convolutional Jury product of positive semidefinite matrices. These results extend the classical Schur and Oppenheim inequalities associated with the Hadamard product to a causal convolutional setting.
Dominique Guillot +2 more
wiley +1 more source
Journal of Geophysical Research: Space Physics, Volume 131, Issue 4, April 2026.Abstract A sudden drop in solar radiation during an annular (or total) eclipse directly affects ionospheric electrodynamics, primarily through the reduction of solar extreme ultraviolet (EUV) and soft X‐ray flux, which are responsible for generating the ionospheric plasma.
Charles Owolabi +6 more
wiley +1 more source
A behavioral view of Nevanlinna-Pick interpolation [PDF]
, 2005 The classical Nevanlinna-Pick (NP) interpolation problem is about finding a rational function that satisfies given interpolation conditions, along with a norm condition.
PILLAI, HARISH K +3 more
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Realization theory for Herglotz--Nevanlinna and Schur class functions: from one to several variables and beyond [PDF]
, 2020 In this survey talk I will recall how the familiar integral representation for Herglotz--Nevanlinna functions can be recast in operator theoretic or rather system theoretic terms, namely as a realization of the function as the transfer function of an ...
Vinnikov, Victor
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