Zeros of generalized Krawtchouk polynomials

Laura Chihara; Dennis Stanton

doi:10.1016/0021-9045(90)90072-X

Zeros of generalized Krawtchouk polynomials

Laura Chihara, Dennis Stanton

School of Mathematics

Research output: Contribution to journal › Article › peer-review

28 Scopus citations

Abstract

The zeros of generalized Krawtchouk polynomials are studied. Some interlacing theorems for the zeros are given. A new infinite family of integral zeros is given, and it is conjectured that these comprise most of the non-trivial zeros. The integral zeros for two families of q-Krawtchouk polynomials are classified.

Original language	English (US)
Pages (from-to)	43-57
Number of pages	15
Journal	Journal of Approximation Theory
Volume	60
Issue number	1
DOIs	https://doi.org/10.1016/0021-9045(90)90072-X
State	Published - Jan 1990

Bibliographical note

Funding Information:
* This work was partially supported NSF under Grant DMS:8700995.

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10.1016/0021-9045(90)90072-X

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title = "Zeros of generalized Krawtchouk polynomials",

abstract = "The zeros of generalized Krawtchouk polynomials are studied. Some interlacing theorems for the zeros are given. A new infinite family of integral zeros is given, and it is conjectured that these comprise most of the non-trivial zeros. The integral zeros for two families of q-Krawtchouk polynomials are classified.",

author = "Laura Chihara and Dennis Stanton",

note = "Funding Information: * This work was partially supported NSF under Grant DMS:8700995.",

year = "1990",

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doi = "10.1016/0021-9045(90)90072-X",

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AB - The zeros of generalized Krawtchouk polynomials are studied. Some interlacing theorems for the zeros are given. A new infinite family of integral zeros is given, and it is conjectured that these comprise most of the non-trivial zeros. The integral zeros for two families of q-Krawtchouk polynomials are classified.

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Zeros of generalized Krawtchouk polynomials

Abstract

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