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Zeros of generalized Krawtchouk polynomials

Journal of Approximation TheoryPublished 1 January 1990Open access
Laura M. Chihara, Dennis Stanton
Citations48
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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.

Keywords

Mathematics