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Concept information

mathematical physics > special function > Dirichlet beta function
mathematical analysis > functional analysis > special function > Dirichlet beta function
... > mathematical analysis > calculus > series > Dirichlet series > Dirichlet L-series > Dirichlet beta function
... > number > number theory > analytic number theory > L-function > Dirichlet series > Dirichlet L-series > Dirichlet beta function
... > mathematical analysis > complex analysis > meromorphic function > L-function > Dirichlet series > Dirichlet L-series > Dirichlet beta function

Preferred term

Dirichlet beta function  

Definition(s)

  • In mathematics, the Dirichlet beta function (also known as the Catalan beta function) is a special function, closely related to the Riemann zeta function. It is a particular Dirichlet L-function, the L-function for the alternating character of period four.
    (Wikipedia, The Free Encyclopedia, https://en.wikipedia.org/wiki/Dirichlet_beta_function)

Broader concept(s)

Synonym(s)

  • Catalan beta function

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URI

http://data.loterre.fr/ark:/67375/PSR-BH3DV7MT-2

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RDF/XML TURTLE JSON-LD Created 8/4/23, last modified 8/21/23