Two finite classes of orthogonal functions

Abstract

By using Fourier transforms of two symmetric sequences of finite orthogonal polynomials, we introduce two new classes of finite orthogonal functions and obtain their orthogonality relations via Parseval's identity.

Keywords:

• finite symmetric orthogonal polynomials
• Fourier transform
• orthogonality relation
• Parseval identity
• hypergeometric functions

AMS Subject Classifications::

• 42C05
• 33C47
• 33C45

Acknowledgements

This work has been supported by a grant from ‘Iran National Science Foundation’ No. 91 002 576.