A generalisation of the summation formula of Plana

DOI10.1017/S0004972700032925zbMath0926.40002OpenAlexW2106920880MaRDI QIDQ4254523

Clément Frappier

Publication date: 9 November 1999

Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0004972700032925

zbMATH Keywords

Riemann zeta functionanalytic functionsummation formula of Plana

Mathematics Subject Classification ID

Bessel and Airy functions, cylinder functions, ({}_0F_1) (33C10) Approximation to limiting values (summation of series, etc.) (40A25) Numerical summation of series (65B10)

Cites Work

• Explicit quadrature formulae for entire functions of exponential type
• A Quadrature Formula Involving Zeros of Bessel Functions
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