A symbolic operator approach to several summation formulas for power series II

@article{He2008ASO,
  title={A symbolic operator approach to several summation formulas for power series II},
  author={Tian-Xiao He and Leetsch C. Hsu and Peter Jau-Shyong Shiue},
  journal={Discrete Mathematics},
  year={2008},
  volume={308},
  pages={3427-3440}
}
This paper deals with the summation problem of power series of the form Sb a(f ;x) = ∑ a≤k≤b f(k)x k, where 0 ≤ a < b ≤ ∞, and {f(k)} is a given sequence of numbers with k ∈ [a, b) or f(t) is a differentiable function defined on [a, b). We present a symbolic summation operator with its various expansions, and construct several summation formulas with estimable remainders for Sb a(f ;x), by the aid of some classical interpolation series due to Newton, Gauss and Everett, respectively. AMS Subject… CONTINUE READING
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