ON NONLINEAR DIFFERENTIAL OPERATORS THAT COMMUTES WITH ANY FUNCTION

Abstract

Abstract: A natural differential operator series is one that commuteswith every function .This paper discusses natural nonlinear "normallyordered" differential operators series .The operators provides a wide rangeof higher order derivative identities , these identities specialize to a largevariety of identities among binomial coefficient and the orthogonalpolynomials ,a number of which are new.