• Analogues of Euler and Poisson summation formulae

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    • Keywords


      Abel’s summation formula; Euler summation formula; Euler-Maclaurin summation formula; Poisson’s summation formula; Fourier series

    • Abstract


      Euler-Maclaurin and Poisson analogues of the summations εa <nb χ(n)f(n), have been obtained in a unified manner, where (χ(n)) is a periodic complex sequence;d(n) is the divisor function andf(x) is a sufficiently smooth function on [a, b]. We also state a generalised Abel’s summation formula, generalised Euler’s summation formula and Euler’s summation formula in several variables.

    • Author Affiliations


      Vivek V Rane1

      1. Department of Mathematics, The Institute of Science, 15, Madam Cama Road, Mumbai - 400 032, India
    • Dates

  • Proceedings – Mathematical Sciences | News

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      Posted on July 25, 2019

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