
TL;DR
This paper introduces and investigates discrete versions of Lebedev transforms involving modified Bessel functions, establishing new expansions of functions and sequences using series and integrals with Bessel functions.
Contribution
It presents novel discrete Lebedev index transforms and derives new expansions involving modified and incomplete Bessel functions.
Findings
Introduction of discrete Lebedev transforms
Derivation of function and sequence expansions
Use of series and integrals with Bessel functions
Abstract
Discrete analogs of the Lebedev transforms with the product of the modified Bessel functions are introduced and investigated. Several expansions of suitable functions and sequences in terms of the series and integrals, involving the modified and incomplete Bessel functions are established.
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