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Lommel polynomial

Known as: Lommel (disambiguation), Lommel polynomials 
A Lommel polynomial Rm,ν(z), introduced by Eugen von Lommel (), is a polynomial in 1/z giving the recurrence relation where Jν(z) is a Bessel… 
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Related topics

Related topics

2 relations
Neumann polynomialRecurrence relation

Papers overview

Semantic Scholar uses AI to extract papers important to this topic.
2016
2016
Property of rational functions related to band-pass transformation
It is shown that if a rational function F (s) does not change when 1/ s is substituted instead of s then F (s) is the rational… 
2015
2015
Design of wide-band amplifiers/filters using Lommel polynomials
The paper describes and analyzes a new class of filter/amplifier transfer functions. The denominator polynomials of these all… 
2015
2015
Modeling 2-D forward-scan sonar imagery for diffuse reflectors
Sonar images are formed by transmitting acoustic pulses and measuring the reflected sound power from the scene surfaces. The… 
2012
2012
Jacobi operator, q-difference equation and orthogonal polynomials
In this paper, a link between $q$-difference equations, Jacobi operators and orthogonal polynomials is given. Replacing the… 
2003
2003
Development of a technique to measure the MTF of a transducer used in an ultrasonic fingerprint scanner
Beam characteristics of a transducer play a major role in defining the resolution of any ultrasound imaging system. Direct… 
Review
2000
Review
2000
STUDIES AND PRACTICAL TESTS USING MULTI IMAGE SHAPE FROM SHADING 1
Multi image shape from shading (MI-SFS) is a surface reconstruction method which has been studied intensively by our group over… 
1996
1996
A Combinatorial Interpretation of Lommel Polynomials and Their Derivatives
In this paper we present interpretations of Lommel polynomials and their derivatives. A combinatorial interpretation uses… 
1986
1986
Pole- and zero-free regions for analytic continued fractions
A l'aide des methodes de la theorie analytique des fractions continues, on determine des regions variees sans zeros pour les… 
1984
1984
The Mesolithic Site of Lommel-Gelderhorsten
Description du materiel qui, bien que vraisemblablement recueilli en surface par Theo Charis, semble homogene et provient… 
1968
1968
ON CONSTRUCTING DISTRIBUTION FUNCTIONS; WITH APPLICATIONS TO LOMMEL POLYNOMIALS AND BESSEL FUNCTIONS
where the polynomials On(x) are recursively defined by: - 1(x) = 0, O(x) = 1, and (I-A) n+ (x) = (x - anX)-(x) - bnn- i(X) (n > 0… 
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