Ramanujan-type formulas for the Clausen functions
DOI:
https://doi.org/10.32603/2071-2340-2025-4-61-67Keywords:
Dirichlet series, Riemann zeta-function, Ramanujan formulas, Clausen functions, polylogarithm, convergence acceleration.Abstract
This paper provides a review of the values of some special functions representable asDirichlet series, as well as a generalization of the well-known Ramanujan formula forcalculating the values of the Riemann zeta function at odd natural points to the caseof Clausen functions. Modifications of the obtained formulas in terms of convergence acceleration are presented.
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Copyright (c) 2026 Stepan Samulevich
This work is licensed under a Creative Commons Attribution 4.0 International License.
This work is licensed under a Creative Commons Attribution 4.0 International License.
