Uniform upper bounds and asymptotic expansions for certain index kernels

2024/09/19 by Semyon Yakubovich, Yakubovich, Semyon
Mathematics · #33C10 #33C15 #41A60 #44A15 #Analytic and geometric function theory #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #Geometry and complex manifolds #Spectral Theory in Mathematical Physics

paper · pdf · doi:10.48550/arxiv.2409.12591

openalex publication_date 2024/09/19 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We continue to establish uniform upper bounds and asymptotic expansions for the kernels of the index transforms which were recently developed for the Kontorovich-Lebedev operator. It involves the Mehler-Fock, Lebedev, index Whittaker and Olevskii transforms.

Related

• New index transforms of the Lebedev- Skalskaya type
• A class of index transforms generated by the Mellin and Laplace operators
• A new index transform with the square of Whittaker's function
• New index transforms with the product of Bessel functions
• Lebedev's type index transforms with the modified Bessel functions