Results 101 to 110 of about 6,503,100 (217)

On Transcendental Entire Solution of Fermat-Type Trinomial and Binomial Equations Under Restricted Hyper-Order

open access: yesAnnales Mathematicae Silesianae
In this paper we are focusing on finding the transcendental entire solution of Fermat-type trinomial and binomial equations, by restricting the hyper-order to be less than one.
Banerjee Abhijit, Sarkar Jhuma
doaj   +1 more source

A behavioral view of Nevanlinna-Pick interpolation

open access: yes, 2005
The classical Nevanlinna-Pick (NP) interpolation problem is about finding a rational function that satisfies given interpolation conditions, along with a norm condition.
Pendharkar, Ishan   +2 more
core  

An operator approach to multipoint Pade approximations [PDF]

open access: yesarXiv, 2008
First, an abstract scheme of constructing biorthogonal rational systems related to some interpolation problems is proposed. We also present a modification of the famous step-by-step process of solving the Nevanlinna-Pick problems for Nevanlinna functions.
arxiv  

Nevanlinna domains with large boundaries

open access: yes, 2018
We establish the existence of Nevanlinna domains with large boundaries. In particular, these domains can have boundaries of positive planar measure. The sets of accessible points can be of any Hausdorff dimension between $1$ and $2$.
Belov, Yurii   +2 more
core  

Remarks on restricted Nevanlinna transforms [PDF]

open access: yesDemonstratio Matehematica , vol. 45 no 2, 2012, pp. 297-307, 2010
The Nevanlinna transform K(z), of a measure and a real constant, plays an important role in the complex analysis and more recently in the free probability theory (boolean convolution). It is shown that its restriction k(it) (the restricted Nevanlinna transform) to the imaginary axis can be expressed as the Laplace transform of the Fourier transform ...
arxiv  

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