9 citations · 49 across the 59 of their papers we have counts for
6 papers · 2 filters
Bessel polynomials, double factorials and context-free grammars
Shi-Mei Ma
The purpose of this paper is to show that Bessel polynomials, double factorials and Catalan triangle can be generated by using context-free grammars.
Some combinatorial sequences associated with context-free grammars
Shi-Mei Ma
The purpose of this paper is to show that some combinatorial sequences, such as second-order Eulerian numbers and Eulerian numbers of type , can be generated by context-free gra…
Polynomials with only real zeros and the Eulerian polynomials of type D
Shi-Mei Ma
A remarkable identity involving the Eulerian polynomials of type D was obtained by Stembridge (Adv. Math. 106 (1994), p. 280, Lemma 9.1). In this paper we explore an equivalent for…
A family of two-variable derivative polynomials for tangent and secant
Shi-Mei Ma
In this paper we introduce a family of two-variable derivative polynomials for tangent and secant. We study the generating functions for the coefficients of this family of polynomi…
On some binomial coefficients related to the evaluation of tan(nx)
Shi-Mei Ma
The purpose of this paper is to study some binomial coefficients which are related to the evaluation of tan(nx). We present a connection between these binomial coefficients and the…
Enumeration of permutations by number of cyclic occurrence of peaks and valleys
Shi-Mei Ma, Chak-On Chow
In this paper, we focus on the enumeration of permutations by number of cyclic occurrence of peaks and valleys. We find several recurrence relations involving the number of permuta…