Discrete Index Whittaker Transforms

Discrete analogs of the index Whittaker transform are introduced and investigated. It involves series and integrals with respect to a second parameter of the Whittaker function W-mu,W-in(x), x > 0, mu is an element of R, n is an element of N, i is the imaginary unit. The corresponding inversion formulas for suitable functions and sequences in terms of these series and integrals are established.

Automated summary

This research introduces and investigates discrete analogs of the index Whittaker transform, involving series and integrals with respect to parameters of the Whittaker function. Inversion formulas for suitable functions and sequences are established based on these series and integrals.