# 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} }

- Published 2008 in Discrete Mathematics
DOI:10.1016/j.disc.2007.07.001

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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