4 papers
Apéry-type approximations and irrationality measures for certain -series
Junnosuke Koizumi, Anju Yokoi
We construct a three-parameter family of rational approximations to values of -hypergeometric series. Using these approximations, we prove that, for every integer with $|x|\…
A functional equation for multiple zeta functions and generalized confluent hypergeometric functions
Anju Yokoi
In this paper, we introduce a new function, the multiple confluent hypergeometric functions, and establish a functional equation for the -variable Euler--Zagier multiple zeta fu…
An interpolation of Bradley's sum formula
Anju Yokoi
The sum formula for -multiple zeta values is a well-known relation. In this paper, we present its generalization for the -multiple zeta function.
Cyclic sum formula for certain parametrized multiple zeta values
Hanamichi Kawamura, Anju Yokoi
Ohno-Wakabayashi's cyclic sum formula for multiple zeta-star values is generalized by Igarashi with one or two parameters. In this article, we give a possible answer for one of his…