Continued fractions for square series generating functions

DOI10.1007/S11139-017-9971-9zbMath1393.05038arXiv1612.02778OpenAlexW2588808074MaRDI QIDQ1656812

Maxie D. Schmidt

Publication date: 10 August 2018

Published in: The Ramanujan Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1612.02778

zbMATH Keywords

\(q\)-seriestheta functioncontinued fractionsum of divisors functionordinary generating functionJ-fractionsquare seriessum of squares functions

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) Binomial coefficients; factorials; (q)-identities (11B65) Continued fraction calculations (number-theoretic aspects) (11Y65) Convergence and divergence of continued fractions (40A15)

Uses Software

• DLMF

Cites Work

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• Combinatorial aspects of continued fractions
• On congruences and continued fractions for some classical combinatorial quantities
• Jacobi Type Continued Fractions for the Ordinary Generating Functions of Generalized Factorial Functions

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