# ON COMBINATORICS OF KONHAUSER POLYNOMIALS

• Kim, Dong-Su (Department of Mathematics Korea Advanced Institute of Science and Technology )
• Published : 1996.05.01
• 32 2

#### Abstract

Let L be a linear functional on the vector space of polynomials in x. Let $\omega(x)$ be a polynomial in x of degree d, for some positive integer d. We consider two sets of polynomials, ${R_n (x)}_{n \geq 0}, {S_n(x)}_{n \geq 0}$, such that $R_n(x)$ is a polynomial in x of degree n and $S_n(x)$ is a polynomial in $\omega(x)$ of degree n. (So $S_n(x)$ is a polynomial in x of degree dn.)

#### Keywords

Konhauser polynomials