Character formulas in terms of R_{\beta} and R_{m} functions

• Published in: Notes on number theory and discrete mathematics Vol. 28; no. 1; pp. 1 - 8
• Main Authors: Chaudhary, M. P., Chaudhary, Sangeeta, Mazhouda, Kamel
• Format: Journal Article
• Language: English
• Published: 2022
• ISSN: 1310-5132; 2367-8275
• DOI: 10.7546/nntdm.2022.28.1.1-8

The authors establish a set of fourteen character formulas in terms of R_{\beta} and R_{m} functions. Folsom [6] studied character formulas and Chaudhary [5] expressed those formulas in terms of continued fraction identities. Andrews et al. [2] introduced multivariate R-functions, which are further classified as R_{\alpha}, R_{\beta}, and R_{m} (for m = 1, 2, 3, …) functions by Srivastava et al. [10].