摘要
A formula of inversion is established for an integral transform whose kernel is the Bessel function J_u (kr) where r varies over the finite interval (0, a) and the order u is taken to be the eigenvalue parameter. When this parameter is large the Bessel function behaves for varying r like the power function r^u and 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.
延伸閱讀
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