Abstract
We discuss the relationship between the recurrence coefficients of orthogonal polynomials with respect to a generalized Freud weight urn:x-wiley:00222526:media:sapm12105:sapm12105-math-0001with parameters and , and classical solutions of the fourth Painlevé equation. We show that the coefficients in these recurrence relations can be expressed in terms of Wronskians of parabolic cylinder functions that arise in the description of special function solutions of the fourth Painlevé equation. Further we derive a second‐order linear ordinary differential equation and a differential‐difference equation satisfied by the generalized Freud polynomials.
Full Text 
Sign-in/Register to access full text options
Sign-in/Register to access full text options 
Published version (
Free)
Free) 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a call
