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

22 Sep 2019 · Yakubovich Semyon ·

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.