Volume 25, pp. 158-165, 2006.

Orthogonal polynomials and Ramanujan's $q$-continued fractions

Mourad E. H. Ismail and Xin Li

Abstract

We give new and simple proofs to some famous $q$-continued fraction identities of Ramanujan by using the theory of orthogonal polynomials.

Full Text (PDF) [133 KB], BibTeX

Key words

orthogonal polynomials, continued fraction

AMS subject classifications

33C47, 11A55