单指标例外Krawtchouk多项式
The single-indexed exceptional Krawtchouk polynomials
摘要：
研究了Krawtchouk多项式的Darboux变换，并考虑了由单步Darboux变换得到的所有可能的例外Krawtchouk多项式.得到了这些特殊Krawtchouk多项式的性质，包括丢番图多项式的性质和递推关系。
英文摘要：
The Darboux transformations of Krawtchouk polynomials are investigated and all possible exceptional Krawtchouk polynomials obtainable from a single-step Darboux transformation are considered. The properties of these exceptional Krawtchouk polynomials including the Diophantine ones and the recurrence relations are obtained.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
