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Zbl 1152.05304
He, Tian-Xiao; Hsu, Leetsch C.; Shiue, Peter J.-S.
A symbolic operator approach to several summation formulas for power series. II.
(English)
[J] Discrete Math. 308, No. 16, 3427-3440 (2008). ISSN 0012-365X

Summary: [For part I, see {\it He, T.X.}, {\it Hsu, L.C.}, {\it Shiue, P.J.-S.}, and {\it Torney, D.C.}, J. Comput. Appl. Math. 177, No.\,1, 17--33 (2005; Zbl 1064.65002).] A kind of symbolic operator method is expanded here that can be used to construct many transformation formulas and summation formulas for various types of power series including some old ones and more new ones.
MSC 2000:
*05A15 Combinatorial enumeration problems
65B10 Summation of series
33C45 Orthogonal polynomials and functions of hypergeometric type
39A70 Difference operators
41A80 Remainders in approximation formulas

Keywords: symbolic operator; power series; generalized Eulerian fractions; Stirling number of the second kind

Citations: Zbl 1064.65002

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