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

Abstract

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].