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

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

卷:384

Article

Yakubovich, Semyon¹ 

[1] Univ Porto, Fac Sci, Dept Math, Campo Alegre St 687, P-4169007 Porto, Portugal

关键词: Orthogonal polynomials;    Convolution orthogonality;    Modified Bessel function;    Kontorovich-Lebedev transform;    Wilson polynomials;    Continuous Hahn polynomials;   

DOI  :  10.1016/j.cam.2020.113178

来源: Elsevier

【 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.

【 授权许可】

Free