A generic polynomial solution for the differential equation of hypergeometric type and six sequences of orthogonal polynomials related to it

Wolfram Koepf, Mohammad Masjed-Jamei
2006 Integral transforms and special functions  
In this work, we present a generic formula for the polynomial solution families of the well-known differential equation of hypergeometric type and show that all the three classical orthogonal polynomial families as well as three finite orthogonal polynomial families, extracted from this equation, can be identified as special cases of this derived polynomial sequence. Some general properties of this sequence are also given.
doi:10.1080/10652460600725234 fatcat:in2tmgwxovfmnozdzy2x6kqanm