论文标题
关于涉及第一类贝塞尔功能的确定积分的概括的注释
A note on a generalisation of a definite integral involving the Bessel function of the first kind
论文作者
论文摘要
我们考虑涉及第一类贝塞尔功能的确定积分的概括。结果表明，该积分可以用一个变量的fox-wright函数$ {} _pψ_q（z）$表示。通过合适的参数选择来探索此表示的某些后果。此外，推导了对福克斯 - 赖特功能的无限系列的两种封闭式评估。
We consider a generalisation of a definite integral involving the Bessel function of the first kind. It is shown that this integral can be expressed in terms of the Fox-Wright function ${}_pΨ_q(z)$ of one variable. Some consequences of this representation are explored by suitable choice of parameters. In addition, two closed-form evaluations of infinite series of the Fox-Wright function are deduced.
