대한수학회지 (Journal of the Korean Mathematical Society)
- 제33권2호
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- Pages.423-438
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- 1996
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- 0304-9914(pISSN)
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- 2234-3008(eISSN)
ON COMBINATORICS OF KONHAUSER POLYNOMIALS
- Kim, Dong-Su (Department of Mathematics Korea Advanced Institute of Science and Technology )
- 발행 : 1996.05.01
초록
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.)