In this paper, we apply the power-partible reduction to show the following arithmetic
properties of large Schröder polynomials S n (z) and little Schröder polynomials sn (z): for …

Given a holonomic sequence F (n), the author characterizes rational functions r (n) so that r
(n) F (n) can be summable. The author provides upper and lower bounds on the degree of …

Based on the polynomial reduction, a holonomic (or, P-recursive) sequence $ F (k) $ can be
decomposed into a summable part and a reduced part. In this paper, we show that when $ F …

In this note, we apply the power-partible reduction to show the following arithmetic
properties of large Schr\" oder polynomials $ S_n (z) $ and little Schr\" oder polynomials …

The central Delannoy numbers $ D_n=\sum_ {k= 0}^{n}\binom {n}{k}\binom {n+ k}{k} $ and
the little Schr\" oder number $ s_n=\sum_ {k= 1}^{n}\frac {1}{n}\binom {n}{k}\binom {n}{k-1} …

Two Applications of the Telescoping Method Page 1 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
Two Applications of the Telescoping Method Qing-Hu Hou School of Mathematics, Tianjin …

In this paper, we introduce the power-partible reduction for holonomic (or, P-recursive)
sequences and apply it to obtain a series of congruences for Apéry numbers A k. In …