Qing-Hu Hou

ON MONOTONICITY OF SOME COMBINATORIAL SEQUENCES

We confirm Suns conjecture that

Applicability of the q-analogue of Zeilberger's algorithm

(\root{n+1}\of{F_{n+1}}/\root{n}\of{F_n})_{n\ge 4}

Continued Fractions for Rogers–Szegö Polynomials

is strictly decreasing to the limit 1, where

k-free recurrences of double hypergeometric terms

(F_n)_{n\ge0}

Recurrent sequences and Schur functions

is the Fibonacci sequence. We also prove that the sequence

The extended Zeilberger algorithm with parameters

(\root{n+1}\of{D_{n+1}}/\root{n}\of{D_n})_{n\ge3}

NON-TERMINATING BASIC HYPERGEOMETRIC SERIES AND THE q-ZEILBERGER ALGORITHM

is strictly decreasing with limit

Factors of the Gaussian coefficients

1

Automated Discovery and Proof of Congruence Theorems for Partial Sums of Combinatorial Sequences

, where

An insertion algorithm and leaders of rooted trees

D_n