A generalization of the class laguerre polynomials: asymptotic properties and zeros

Abstract

We consider a modification of the gamma distribution by adding a discrete measure Support in the point x = 0. We study some properties of the polynomials orthogonal with respect to such measures [1]. In particular, we deduce the second order differential to'1ttatiolt and the three term recurrence relation which such polynomials satisfy as well as, for large n. the behaviour of their zeros.

Keywords:

• Laguerre polynomials
• discrete measures
• zeros.