Higher order recurrence relation for exceptional Charlier, Meixner, Hermite and Laguerre orthogonal polynomials
Higher order recurrence relation for exceptional Charlier, Meixner, Hermite and Laguerre orthogonal polynomials
AbstractIn this paper we prove in a constructing way that exceptional Charlier, Meixner, Hermite and Laguerre polynomials satisfy higher order recurrence relations. Our conjecture is that the recurrence relations provided in this paper have minimal order.Keywords: orthogonal polynomialsexceptional orthogonal polynomialrecurrence relationsdifference operatorsdifferential operatorsCharlier polynomialsMeixner polynomialsHermite polynomialsLaguerre polynomials1991 Mathematics Subject Classification:: …