On the algebraic relations and dissections for certain continued fractions of order 104Article
Authors: Shruthi Bhat 1; B Srivatsa Kumar
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Shruthi Bhat;B Srivatsa Kumar
- 1 Manipal Institute of Technology
In the present article, we obtain thirteen special cases of Ramanujan's continued fraction and establish $2$-, $4$-dissections of those continued fractions. Also, we derive algebraic relations connecting continued fractions with their respective reciprocals and we validate our results establishing the coloured partition identities.
Volume: Volume 48 - 2025
Published on: April 27, 2026
Accepted on: April 27, 2026
Submitted on: April 3, 2026
Keywords: 14H42, 11A55; 11J70, 11P84, [MATH]Mathematics [math], [en] theta functions., Ramanujan's general continued fraction, dissections, coloured partitions, algebraic relations