Douglas Bowman

Q-difference Operators, Orthogonal Polynomials and Symmetric Expansions - Memoirs of the American Mathematical Society Douglas Bowman

Explores ramifications and extensions of a $q$-difference operator method first used by L J Rogers for deriving relationships between special functions involving certain fundamental $q$-symmetric polynomials. This work also presents expansions of certain generalized basic hypergeometric functions in terms of the symmetric polynomials.