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

摘要

Notions of 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. (C) 2020 Elsevier B.V. All rights reserved.