A note on pseudo Jacobi polynomials

Abstract

The present paper is a study of pseudo-Jacobi polynomials which have been defined on the pattern of Shively’s pseudo-Laguerre polynomials. The paper contains generating functions, Rodrigues formula, recurrence relations and expansion of pseudo-Jacobi polynomials.

Keywords

• Shively pseudo-Laguerre polynomials
• Pseudo-Jacobi polynomials
• Appell’s F4 function
• Confluent hypergeometric function φ3
• Generating functions