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August 17, 2025

Frobenius partition theoretic interpretations of some basic series identities

Key Points

Five new 3-way combinatorial identities were derived, broadening the understanding of series identities.
The analysis focused on generalized frobenius partitions, offering fresh interpretations of established identities.
This research builds on prior contributions by Goyal and Agarwal, enriching the field of combinatorial analysis.
Findings suggest deeper connections between mathematical series and combinatorial structures.

Abstract

Using generalized Frobenius partitions we interpret five basic series identities of Rogers combinatorially. This extends the recent work of Goyal and Agarwal and yields five new 3-way combinatorial identities.

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Cite This Study

Sood et al. (Mon,) studied this question.

synapsesocial.com/papers/68a370e80a429f79733333fd https://doi.org/https://doi.org/10.55016/ojs/cdm.v7i2.62135