Dirichlet series and series with Stirling numbers

• Autores: Khristo Boyadzhiev
• Localización: Cubo: A Mathematical Journal, ISSN 0716-7776, ISSN-e 0719-0646, Vol. 25, Nº. 1, 2023, págs. 103-119
• Idioma: inglés
• DOI: 10.56754/0719-0646.2501.103
• Enlaces
  • Texto completo
• Resumen
  • español

    Este artículo presenta identidades para series de Dirichlet y series con números de Stirling de primera especie. Como coeficientes de las series de Dirichlet usamos números de Cauchy de primera y segunda especie, números hiperarmónicos, subfactoriales, coeficientes binomiales, coeficientes binomiales centrales y números de Catalan.

  • English

    This paper presents a number of identities for Dirichlet series and series with Stirling numbers of the first kind. As coefficients for the Dirichlet series we use Cauchy numbers of the first and second kinds, hyperharmonic numbers, derangement numbers, binomial coefficients, central binomial coefficients, and Catalan numbers.

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