3 papers
math.NT2023
The generalized Bernoulli numbers and its relation with the Riemann zeta function at odd-integer arguments
Yayun Wu
By using the generalized Bernoulli numbers, we deduce new integral representations for the Riemann zeta function at positive odd-integer arguments. The explicit expressions enable…
math.CA2020
Generalization of the final-value theorem and its application in fractional differential systems
Yayun Wu
In this paper, we generalized the known Laplace-transform final-value theorem. From our conclusion, one can deduce the existing results in [1, 3, 12]. By using final value theorem,…
math.CV2019
Some results about Mittag-Leffler function's integral representations
Yayun Wu, Zhihua Liu
In many articles on the integral expressions of Mittag-Leffler functions, we have found that whether the integral expression can be used at the origin is still unresolved. In this…