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How to add a non-integer number of terms, and how to produce unusual infinite summations

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Publication:1772353
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DOI10.1016/J.CAM.2004.08.009zbMath1064.40003OpenAlexW2078397539MaRDI QIDQ1772353

Dierk Schleicher, Markus P. Müller

Publication date: 18 April 2005

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cam.2004.08.009


zbMATH Keywords

interpolationsummation of seriesfractional sums


Mathematics Subject Classification ID

Interpolation in approximation theory (41A05) Approximation to limiting values (summation of series, etc.) (40A25) Hypergeometric functions (33C99)


Related Items (7)

Explicit identities for infinite families of series involving squared binomial coefficients ⋮ Entropy analysis of systems exhibiting negative probabilities ⋮ Lack of Null-Controllability for the Fractional Heat Equation and Related Equations ⋮ On the fractional sums of some special functions ⋮ Fractional sums and Euler-like identities ⋮ On an identity by Chaundy and Bullard. I ⋮ Rhapsody in fractional




Cites Work

  • On some strange summation formulas
  • Unnamed Item
  • Unnamed Item




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