$q$ -sinc和与积分的类似物
$q$-analogs of sinc sums and integrals
摘要：
研究了sinc函数与二项式系数的和等于积分关系$\sum_{n\in\mathbb{Z}}f(n)=\int_{-\infty}^\infty f(x)dx$的$q$ -模拟.这种类似物在$q$ -超几何级数的背景下是已知的。本文研究了非$q$ -超几何函数的多基“分式”推广。
英文摘要：
$q$-analogs of sum equals integral relations $\sum_{n\in\mathbb{Z}}f(n)=\int_{-\infty}^\infty f(x)dx$ for sinc functions and binomial coefficients are studied. Such analogs are already known in the context of $q$-hypergeometric series. This paper deals with multibasic `fractional' generalizations that are not $q$-hypergeometric functions.
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。
