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Evaluation of infinite series involving special products and their algebraic characterization

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Publication:3632775
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DOI10.2478/s12175-009-0133-4zbMath1209.11067OpenAlexW2081756384MaRDI QIDQ3632775

Marian Genčev

Publication date: 12 June 2009

Published in: Mathematica Slovaca (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2478/s12175-009-0133-4


zbMATH Keywords

infinite seriestranscendencehypergeometric functionsummation


Mathematics Subject Classification ID

Integral methods for summability (40C10) Gamma, beta and polygamma functions (33B15) Transcendence theory of other special functions (11J91) Generalized hypergeometric series, ({}_pF_q) (33C20) Transcendence (general theory) (11J81) Numerical approximation and evaluation of special functions (33F05)


Related Items (2)

A note on the transcendence of infinite products ⋮ ERDŐS’ METHOD FOR DETERMINING THE IRRATIONALITY OF PRODUCTS



Cites Work

  • Classification of hypergeometric identities for π and other logarithms of algebraic numbers
  • On the irrationality of factorial series


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