Some identities of Ramanujan's q-Continued Fraction of Order Eighteen, Twenty-Six and Thirty, and Vanishing Coefficients

2023/11/06 by Raksha, B. R. Srivatsa Kumar, Kumar, B. R. Srivatsa
Mathematics · #FOS: Mathematics #General Mathematics (math.GM) #math.GM

paper · pdf · doi:10.48550/arxiv.2311.06298

published as Advanced Studies in Contemporary Mathematics, 2024

arxiv created 2023/11/06 · arxiv updated 2026/07/31

Abstract

In the present work, we established continued fractions of level eighteen, twenty six and thirty. Further, we obtained vanishing coefficients and many algebraic relations. To validate our result colored partitions are also obtained.

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