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Original Articles

The Binomial Coefficient as an (In)finite Sum of Sinc Functions

Pages 734-742 | Received 02 Nov 2020, Accepted 12 Apr 2021, Published online: 14 Jul 2022

References

  • Abel, N. H. (1826). Untersuchungen Über die Reihe: 1+m1x+m(m−1)1·2x2+m(m−1)(m−2)1·2·3x3+⋯ . J. Reine Angew. Math. 1: 311–339.
  • Bromwich, T. J. I’A., MacRobert, T. M. (1991). An Introduction to the Theory of Infinite Series, 3rd ed. New York: Chelsea.
  • Flanigan, F. J. (1983). Complex Variables: Harmonic and Analytic Functions. New York, NY: Dover.
  • Havil, J. (2003). Gamma: Exploring Euler’s Constant. Princeton, NJ: Princeton Univ. Press.
  • Ramanujan, S. (1920). A class of definite integrals. Q. J. Math. 48: 294–310.
  • Salwinski, D. (2018) The continuous binomial coefficient: An elementary approach. Amer. Math. Monthly. 125(3): 231–244. DOI: 10.1080/00029890.2017.1409570.

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