论文标题
与一组移位有关的某些相关Bessel功能的概括
A generalization of certain associated Bessel functions in connection with a group of shifts
论文作者
论文摘要
考虑到一个积分操作员的内核，即伪欧国人空间的两个运动组的两个实现，我们为包含Whittaker功能或Weber的抛物线圆柱体功能的串联配方提供了两个公式。我们可以将此内核视为一种特殊功能。发现该特殊功能中涉及的参数的某些特定值与Bessel函数的某些变体一致。使用这些连接，我们还为麦克唐纳和汉克尔函数建立了一些正交关系的类似物。
Considering the kernel of an integral operator intertwining two realizations of the group of motions of the pseudo-Euclidian space, we derive two formulas for series containing Whittaker's functions or Weber's parabolic cylinder functions. We can consider this kernel as a special function. Some particular values of parameters involved in this special function are found to coincide with certain variants of Bessel functions. Using these connections, we also establish some analogues of orthogonality relations for Macdonald and Hankel functions.
