All

What are you looking for?

All
Projects
Results
Organizations

Quick search

  • Projects supported by TA ČR
  • Excellent projects
  • Projects with the highest public support
  • Current projects

Smart search

  • That is how I find a specific +word
  • That is how I leave the -word out of the results
  • “That is how I can find the whole phrase”

Orthogonal polynomials associated with Coulomb wave functions

The result's identifiers

  • Result code in 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>

  • Alternative codes found

    RIV/68407700:21240/14:00218171

  • Result on the web

    <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>

Alternative languages

  • Result language

    angličtina

  • Original language name

    Orthogonal polynomials associated with Coulomb wave functions

  • Original language description

    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.

  • Czech name

  • Czech description

Classification

  • Type

    J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)

  • CEP classification

    BA - General mathematics

  • OECD FORD branch

Result continuities

  • Project

    <a href="/en/project/GA13-11058S" target="_blank" >GA13-11058S: Spectral analysis of operators and its applications in quantum mechanics</a><br>

  • Continuities

    S - Specificky vyzkum na vysokych skolach

Others

  • Publication year

    2014

  • Confidentiality

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

Data specific for result type

  • Name of the periodical

    Journal of Mathematical Analysis and Its Applications

  • ISSN

    0022-247X

  • e-ISSN

  • Volume of the periodical

    419

  • Issue of the periodical within the volume

    1

  • Country of publishing house

    US - UNITED STATES

  • Number of pages

    24

  • Pages from-to

    231-254

  • UT code for WoS article

    000338482600017

  • EID of the result in the Scopus database