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Two dimensional symmetric and antisymmetric exponential functions and orthogonal polynomials
of the orthogonal polynomials are derived and the properties of these orthogonal polynomials, such as their generating functions, continuous and discrete orthogonality, are presented. A connection of thes...
BA - Obecná matematika
- 2013 •
- D •
- Link
Rok uplatnění
D - Stať ve sborníku
Výsledek na webu
On a new set of orthogonal polynomials
An orthogonal system of polynomials, arising from a second-order ordinary differential equation, is presented...
BA - Obecná matematika
- 2003 •
- Jx
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Orthogonal polynomials associated with Coulomb wave functions
A new class of orthogonal polynomials associated with Coulomb wave functions is introduced. These polynomials play a role analogous to that the Lommel polynomials have in the theory of Bessel functions. The ort...
BA - Obecná matematika
- 2014 •
- Jx •
- Link
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Výsledek na webu
Orthogonal Bases of Hermitean Monogenic Polynomials: An Explicit Construction in Complex Dimension 2
In this contribution we construct an orthogonal basis of Hermitean monogenic polynomials for the specific case of two complex variables....
BA - Obecná matematika
- 2010 •
- D
Rok uplatnění
D - Stať ve sborníku
Orthogonal polynomials and their application in optics
The paper summarises basic properties of orthogonal polynomials and their use for approximation of functions representing a surface shape of optical components. The approximation of least-squares is demonstrated including its proper...
Optics (including laser optics and quantum optics)
- 2019 •
- Jost •
- Link
Rok uplatnění
Jost - Ostatní články v recenzovaných periodicích
Výsledek na webu
Automorphisms of algebras and orthogonal polynomials
Suitable automorphisms together with a complete classification of representations of some algebras can be used to generate some sets of orthogonal polynomials ?at no cost?. This is also the case for the nonstandard Klimyk-Gavrilik d...
BA - Obecná matematika
- 2014 •
- Jx •
- Link
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Výsledek na webu
Rotation of 2D orthogonal polynomials
, that must be fulfilled by 2D separable orthogonal polynomi- als, for being transformed met, the rotation property propagates from polynomials to moments and allows a straightforward derivation of rotation invariants. We s...
Computer hardware and architecture
- 2018 •
- Jimp •
- Link
Rok uplatnění
Jimp - Článek v periodiku v databázi Web of Science
Výsledek na webu
Polynomials associated with a functional product of the Hermite type
Orthogonality of polynomials that arose as solutions of a linear differential equation of second order...
BA - Obecná matematika
- 2016 •
- Jx •
- Link
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Výsledek na webu
Nevanlinna extremal measures for polynomials related to q^-1-Fibonacci polynomials
orthogonal polynomials are investigated with the emphasis on their orthogonalityThe aim of this paper is the study of q^{-1}-Fibonacci polynomials with 0polynomials are r...
BA - Obecná matematika
- 2016 •
- Jx •
- Link
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Výsledek na webu
On Discretization of Polynomials Corresponding to Symmetric and Antisymmetric Functions in Four Variables
for corresponding families of the orthogonal polynomials and some of their properties, namelythe orthogonality, both the continuous one and the discrete one on the lattice. A general formula for orthogonal pol...
BA - Obecná matematika
- 2014 •
- D
Rok uplatnění
D - Stať ve sborníku
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