A finite class of orthogonal functions generated by Routh-Romanovski polynomials
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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. © 2014 Taylor and Francis Group, LLC.
cauchy's beta integral; fourier's transform; hypergeometric functions; parseval's identity; routh-romanovski orthogonal polynomials