Series and epsilon-expansion of the hypergeometric functions
M.Yu.Kalmykov (Dubna, JINR)
TL;DR
This paper discusses recent advances in the analytical calculation of sums related to the epsilon-expansion of hypergeometric functions of one variable, which are important in mathematical physics.
Contribution
It introduces new methods for calculating inverse, binomial, and harmonic sums associated with hypergeometric functions' epsilon-expansion.
Findings
Improved analytical techniques for hypergeometric epsilon-expansion
Enhanced understanding of related multiple sums
Potential applications in mathematical physics
Abstract
Recent progress in analytical calculation of the multiple [inverse, binomial, harmonic] sums, related with epsilon-expansion of the hypergeometric function of one variable are discussed.
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