A finite class of orthogonal functions generated by Routh-Romanovski polynomials

作者：Masjed Jamei Mohammad^*; Marcellan Francisco; Huertas Edmundo J

来源：Complex Variables and Elliptic Equations, 2014, 59(2): 162-171.

DOI：10.1080/17476933.2012.727406

• Routh-Romanovski orthogonal polynomials
• Fourier%26apos
• s transform
• Cauchy%26apos
• s beta integral
• Parseval%26apos
• s identity
• hypergeometric functions

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.

• 出版日期2014-2-1