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Divergent series in the generalized binomial transform

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Abstract

This statue represents a generalization of the binomial transform for negative indexes. This is important to uniform the coe±cients in the expansion of the perturbation function in the restricted three-body problem. It is described a method of summation of divergent series. It is examined the generalized binomial transform of the geometric sequence and the k-binomial transform of r -tuple.

참고문헌 (7)

  1. Maxima, "A GPL CAS based on DOE-MACSYMA"
  2. Borisov B., "On the movement of the asteroid 108 Hecuba" (2006)
  3. Weisstein E.n-Tuple, "http:", n-Tuple.html, 1995
  4. Hardy G. Divergent Series, "Clarendon Press" (1949)
  5. Weisstein E. Euler Transform, "http:", EulerTransform.html, 1995
  6. Korn G, "McGraw-Hill Book Company" (1968)
  7. Spivey M., "The k-Binomial Transform and the Hankel Transform", 9 (2006)

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