• Title of article

    An algebraic identity on -Apéry numbers

  • Author/Authors

    Zheng، نويسنده , , De-Yin، نويسنده ,

  • Issue Information
    روزنامه با شماره پیاپی سال 2011
  • Pages
    3
  • From page
    2708
  • To page
    2710
  • Abstract
    By means of partial fraction decomposition, we establish a q -extension of an algebraic identity on rational function due to Chu [W. Chu, A binomial coefficient identity associated with Beukers’ conjecture on Apéry numbers, The Electronic Journal of Combinatorics 11 (2004) #N15]. Its limiting case as q → 1 leads to a harmonic number identity closely related to Beukers’ well-known conjecture on Apéry numbers.
  • Keywords
    q -binomial coefficients , q -harmonic numbers , Algebraic identity
  • Journal title
    Discrete Mathematics
  • Serial Year
    2011
  • Journal title
    Discrete Mathematics
  • Record number

    1598440