Abstract
It is known that some orthogonal systems are mapped onto other orthogonal systems by the Fourier transform. In this article we introduce a finite class of orthogonal functions, which is the Fourier transform of Routh–Romanovski orthogonal polynomials, and obtain its orthogonality relation using Parseval identity.
Acknowledgements
The authors thank the referee for their careful report. The comments and suggestions therein have contributed to improve the presentation of the manuscript. The work of the first author (MMJ) is supported by a grant from ‘Iran National Science Foundation’ No. 91002576 and the work of the second (FM) and third (EH) authors has been supported by Dirección General de Investigación, Ministerio de Ciencia e Innovación of Spain, grant MTM2009-12740-C03-01.