Geodesic
Orthogonal polynomials and Ramanujan's $q$-continued fractions
Electronic transactions on numerical analysis, Tome 25 (2006), pp. 158-165.

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

Summary: We give new and simple proofs to some famous -continued fraction identities of Ramanujan by $$###$$ using the theory of orthogonal polynomials.
Classification : 33C47, 11A55
Keywords: orthogonal polynomials, continued fraction 
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     title = {Orthogonal polynomials and {Ramanujan's} $q$-continued fractions},
     journal = {Electronic transactions on numerical analysis},
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     year = {2006},
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Ismail, Mourad E.H.; Li, Xin. Orthogonal polynomials and Ramanujan's $q$-continued fractions. Electronic transactions on numerical analysis, Tome 25 (2006), pp. 158-165. http://geodesic.mathdoc.fr/item/ETNA_2006__25__a21/