Ramanujan's q-continued fractions and Schroeder-like numbers

2012/10/01 by Johann Cigler, Cigler, Johann · 1 citation
Mathematics · #05A15 #05A30 #Advanced Combinatorial Mathematics #Advanced Mathematical Identities #Analytic Number Theory Research #Combinatorics (math.CO) #FOS: Mathematics #History and Overview (math.HO)

paper · pdf · doi:10.48550/arxiv.1210.0372

openalex publication_date 2012/10/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In a recent paper G. Bhatnagar has given simple proofs of some of Ramanujan's continued fractions. In this note we show that some variants of these continued fractions are generating functions of q-Schroeder-like numbers.

Cited by

• A special class of Hankel determinants

Related

• Ramanujan's q-continued fractions
• Some identities of Ramanujan's q-Continued Fraction of Order Eighteen, Twenty-Six and Thirty, and Vanishing Coefficients
• Notes On a Continued Fraction of Ramanujan
• Some Identities of Ramanujan's q-Continued Fractions of Order Fourteen and Twenty-Eight, and Vanishing Coefficients
• Evaluations of Ramanujan Continued Fractions