3 papers
math-ph2026
A Family of Berndt-Type Integrals and Associated Barnes Multiple Zeta Functions
Xinyue Gu, Ce Xu, Jianing Zhou
In this paper, we focus on calculating a specific class of Berndt integrals, which exclusively involves (hyperbolic) cosine functions. Initially, this integral is transformed into…
math.NT2026
Mixed Berndt-Type Integrals and Generalized Barnes Multiple Zeta Functions
Jianing Zhou
In this paper, we define and study four families of Berndt-type integrals, called mixed Berndt-type integrals, which contain (hyperbolic) sine and cosine functions in the integrand…
math.NT2025
On a Class of Berndt-type Integrals and Related Barnes Multiple Zeta Functions
Xiang Chen, Ce Xu, Jianing Zhou
This paper investigates a class of special Berndt-type integral calculations where the integrand contains only hyperbolic cosine functions. The research approach proceeds as follow…