Orthogonal polynomials associated with Coulomb wave functions

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21340%2F14%3A00218171" target="_blank" >RIV/68407700:21340/14:00218171 - isvavai.cz</a>

Nalezeny alternativní kódy

RIV/68407700:21240/14:00218171

Výsledek na webu

<a href="http://dx.doi.org/10.1016/j.jmaa.2014.04.049" target="_blank" >http://dx.doi.org/10.1016/j.jmaa.2014.04.049</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1016/j.jmaa.2014.04.049" target="_blank" >10.1016/j.jmaa.2014.04.049</a>

Jazyk výsledku

angličtina

Název v původním jazyce

Orthogonal polynomials associated with Coulomb wave functions

Popis výsledku v původním jazyce

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 orthogonality measure for this new class is described in detail. In addition, the orthogonality measure problem is discussed on a more general level. Apart from this, various identities derived for the new orthogonal polynomials may be viewed as generalizations of certain formulas known from the theory of Bessel functions. A key role in these derivations is played by a Jacobi (tridiagonal) matrix J_L whose eigenvalues coincide with the reciprocal values of the zeros of the regular Coulomb wave function F_L(?,?). The spectral zeta function corresponding to the regular Coulomb wave function or, more precisely, to the respective tridiagonal matrix is studied as well.

Název v anglickém jazyce

Orthogonal polynomials associated with Coulomb wave functions

Popis výsledku anglicky

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 orthogonality measure for this new class is described in detail. In addition, the orthogonality measure problem is discussed on a more general level. Apart from this, various identities derived for the new orthogonal polynomials may be viewed as generalizations of certain formulas known from the theory of Bessel functions. A key role in these derivations is played by a Jacobi (tridiagonal) matrix J_L whose eigenvalues coincide with the reciprocal values of the zeros of the regular Coulomb wave function F_L(?,?). The spectral zeta function corresponding to the regular Coulomb wave function or, more precisely, to the respective tridiagonal matrix is studied as well.

Druh

J_x - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)

CEP obor

BA - Obecná matematika

OECD FORD obor

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Projekt

<a href="/cs/project/GA13-11058S" target="_blank" >GA13-11058S: Spektrální analýza operátorů a její aplikace v kvantové mechanice</a><br>

Návaznosti

S - Specificky vyzkum na vysokych skolach

Rok uplatnění

2014

Kód důvěrnosti údajů

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Název periodika

Journal of Mathematical Analysis and Its Applications

ISSN

0022-247X

e-ISSN

—

Svazek periodika

419

Číslo periodika v rámci svazku

1

Stát vydavatele periodika

US - Spojené státy americké

Počet stran výsledku

24

Strana od-do

231-254

Kód UT WoS článku

000338482600017

EID výsledku v databázi Scopus

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