On an integral transform

[摘要] A formula of inversion is established for an integral transform whose kernel is the Bessel functionJu(kr)wherervaries over the finite interval(0,a)and the orderuis taken to be the eigenvalue parameter. When this parameter is large the Bessel function behaves for varyingrlike the power functionruand by relating the Bessel functions to their corresponding power functions the proof of the inversion formula can be reduced to one depending on the Mellin inversion theorem.

[学科分类] 数学（综合）