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

publication date

  • February 2014

start page

  • 162

end page

  • 171

issue

  • 2

volume

  • 59

international standard serial number (ISSN)

  • 1747-6933

electronic international standard serial number (EISSN)

  • 1747-6941

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. © 2014 Taylor and Francis Group, LLC.

keywords

  • cauchy's beta integral; fourier's transform; hypergeometric functions; parseval's identity; routh-romanovski orthogonal polynomials