论文标题
$ \ text {sinc} _ {p，q} $ functions和相关积分的出色属性
Remarkable properties of the $\text{sinc}_{p, q}$ functions and related integrals
论文作者
论文摘要
当标准正弦函数被两个参数中的广义$ \ sin_ {p，q} $替换时，研究了不同类型的SINC积分。实现了不当的Dirichlet积分的惊人概括。发现了Dirichlet积分与Integrand $ \ text {sinc}^2 $之间的身份的第二个令人惊讶但有趣的概括。此外，通过两个参数获得了渐近锐化的球积分不等式的形式。
Different types of sinc integrals are investigated when the standard sine function is replaced by the generalised $\sin_{p,q}$ in two parameters. A striking generalisation of the improper Dirichlet integral is achieved. A second surprising but interesting generalisation of the identity between the Dirichlet integral and that of the integrand $\text{sinc}^2$ is discovered. Moreover, an asymptotically sharpened form of Ball's integral inequality is obtained in terms of two parameters.
