Order Decay of the KL Transform with Residue-Based Resonance Extraction in Hybrid-Vehicle Logistics

Sharma, V. A.

doi:https://doi.org/10.55041/ijcope.v2i8.178

Volume 02, Issue 8

Published on: August 2026

ORDER DECAY OF THE KL TRANSFORM WITH RESIDUE-BASED RESONANCE EXTRACTION IN HYBRID-VEHICLE LOGISTICS

V. A. Sharma

Department of Mathematics, Arts, Commerce and Science College, Amravati

DOI:https://doi.org/10.55041/ijcope.v2i8.178

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Abstract

The Kontorovich–Lebedev (KL) transform is defined by integration against the Macdonald function of purely imaginary order. This paper establishes the fundamental uniform estimates that characterize its natural domain the weighted Lebesgue space and derives the large-order exponential decay of the kernel that underpins spectral truncation. Complete proofs of the boundedness of the operator on , the Riemann–Lebesgue-type lemma, and the asymptotic envelope are supplied. These analytic facts are then applied to residue-based resonance extraction in hybrid-vehicle logistics networks, where poles of the meromorphic spectral density are recovered by contour integration. The resulting multi-scale framework is mapped onto the full corpus of FKF, distributional, digital-twin, quantum and solar-mobility literature. Four figures and a flowchart illustrate the kernel bounds, the decay, the logistics architecture, the residue pipeline and the distributional hierarchy.

Keywords: Kontorovich–Lebedev transform, Macdonald function, uniform estimates, large-order asymptotics, natural domain , residue calculus, hybrid-vehicle logistics, FKF transform, spectral truncation, distributional extension.

How to Cite this Paper

Sharma, V. A. (2026). Order Decay of the KL Transform with Residue-Based Resonance Extraction in Hybrid-Vehicle Logistics. International Journal of Creative and Open Research in Engineering and Management, <i>02</i>(8), 1-9. https://doi.org/10.55041/ijcope.v2i8.178

Sharma, V.. "Order Decay of the KL Transform with Residue-Based Resonance Extraction in Hybrid-Vehicle Logistics." International Journal of Creative and Open Research in Engineering and Management, vol. 02, no. 8, 2026, pp. 1-9. doi:https://doi.org/10.55041/ijcope.v2i8.178.

Sharma, V.. "Order Decay of the KL Transform with Residue-Based Resonance Extraction in Hybrid-Vehicle Logistics." International Journal of Creative and Open Research in Engineering and Management 02, no. 8 (2026): 1-9. https://doi.org/https://doi.org/10.55041/ijcope.v2i8.178.

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Akarshan Gulhane, “Spectral Differential Properties of the Distributional FKF Transform with Applications to Resilient Supply-Chain Systems,” International Journal of Creative and Open Research in Engineering and Management, ISSN: 3108-1754 (Online), Volume 02 Issue 08, August 2026, DOI: https://doi.org/10.55041/ijcope.v2i8.139.

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