Zobrazeno 1 - 10
of 219 800
pro vyhledávání: '"A. Berndt"'
We address a class of definite integrals known as Berndt-type integrals, highlighting their role as specialized instances within the integral representation framework of the Barnes-zeta function. Building upon the foundational insights of Xu and Zhao
Externí odkaz:
http://arxiv.org/abs/2407.02365
Autor:
Xu, Ce, Zhao, Jianqiang
In this paper, we prove two structural theorems on the general Berndt-type integrals with the denominator having arbitrary positive degrees by contour integrations involving hyperbolic and trigonometric functions, and hyperbolic sums associated with
Externí odkaz:
http://arxiv.org/abs/2401.01385
Autor:
He, Yuan
In this paper, we establish some reciprocity formulas for certain generalized Hardy-Berndt sums by using the Fourier series technique and some properties of the periodic zeta function and the Lerch zeta function. It turns out that one of Hardy's reci
Externí odkaz:
http://arxiv.org/abs/2401.00774
Akademický článek
Tento výsledek nelze pro nepřihlášené uživatele zobrazit.
K zobrazení výsledku je třeba se přihlásit.
K zobrazení výsledku je třeba se přihlásit.
Autor:
Xu, Ce, Zhao, Jianqiang
In this paper, we evaluate in closed forms two families of infinite integrals containing hyperbolic and trigonometric functions in their integrands. We call them Berndt-type integrals since he initiated the study of similar integrals. We first establ
Externí odkaz:
http://arxiv.org/abs/2301.08211
Akademický článek
Tento výsledek nelze pro nepřihlášené uživatele zobrazit.
K zobrazení výsledku je třeba se přihlásit.
K zobrazení výsledku je třeba se přihlásit.
Autor:
Ridhuan, Siti Sarah1 siti.ridhuan@research.uwa.edu.au
Publikováno v:
Anthropological Forum. Jun2022, Vol. 32 Issue 2, p138-157. 20p.
Autor:
Gray, Geoffrey1 g.gray1@uq.edu.au
Publikováno v:
Anthropological Forum. Jun2019, Vol. 29 Issue 2, p116-133. 18p.
Autor:
Robinson, P. L.
We offer a new proof for the Berndt-Bhargava-Garvan Transfer Principle that connects the signature-three elliptic theory of Ramanujan to the classical elliptic theory.
Externí odkaz:
http://arxiv.org/abs/2109.14541
Autor:
Can, Mümün
In this paper, we introduce vast generalizations of the Hardy-Berndt sums. They involve higher-order Euler and/or Bernoulli functions, in which the variables are affected by certain linear shifts. By employing the Fourier series technique we derive l
Externí odkaz:
http://arxiv.org/abs/2006.13323