On the orthogonality and convolution orthogonality via the Kontorovich-Lebedev transform

2019/09/22 by Semyon Yakubovich, Yakubovich, Semyon
Computer Science · Mathematics · Physics and Astronomy · #33C10 #33C45 #44A15 #44A15 33C45 #Advanced Computational Techniques in Science and Engineering #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #Mathematical functions and polynomials #Optical and Acousto-Optic Technologies #math.CA #msc:33C10 #msc:33C45 #msc:44A15

paper · pdf · doi:10.48550/arxiv.1909.09958

arxiv created 2019/09/22 · openalex publication_date 2019/09/22 · arxiv updated 2019/09/24 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Notions of the orthogonality and convolution orthogonality are explored with the use of the Kontorovich-Lebedev transform and its convolution. New classes of the corresponding orthogonal polynomials and functions are investigated. Integral representations, orthogonality relations and explicit expressions are established.

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