Results 21 to 30 of about 1,540,688 (355)

Extended elliptic-type integrals with associated properties and Turán-type inequalities

Advances in Difference Equations, 2021
Our aim is to study and investigate the family of ( p , q ) $(p, q)$ -extended (incomplete and complete) elliptic-type integrals for which the usual properties and representations of various known results of the (classical) elliptic integrals are ...
Rakesh K. Parmar, Ritu Agarwal, Naveen Kumar, S. D. Purohit   +3 more
doaj   +1 more source

Calculation of integrals in MathPartner

Discrete and Continuous Models and Applied Computational Science, 2021
We present the possibilities provided by the MathPartner service of calculating definite and indefinite integrals. MathPartner contains software implementation of the Risch algorithm and provides users with the ability to compute antiderivatives for ...
Gennadi I. Malaschonok, Alexandr V. Seliverstov   +1 more
doaj   +1 more source

Monotonicity and sharp inequalities related to complete $(p,q)$-elliptic integrals of the first kind

Comptes Rendus. Mathématique, 2020
With the aid of the monotone L’Hôpital rule, the authors verify monotonicity of some functions involving complete $(p,q)$-elliptic integrals of the first kind and the inverse of generalized hyperbolic tangent function, derive several sharp inequalities ...
Wang, Fei, Qi, Feng
doaj   +1 more source

Symmetries of certain double integrals related to Hall effect devices [PDF]

, 2020
Producción CientíficaOne encounters iterated elliptic integrals in the study of Hall effect devices, as a result of conformal mappings of Schwarz–Christoffel type.
Ausserlechner, Udo, Glasser, M. Lawrence, Zhou, Yajun   +2 more
core   +2 more sources

Monotonicity and functional inequalities for the complete p-elliptic integrals

Journal of Mathematical Analysis and Applications, 2017
Xiaohui Zhang
semanticscholar   +3 more sources

Answers to three conjectures on convexity of three functions involving complete elliptic integrals of the first kind

Applicable Analysis and Discrete Mathematics, 2020
In the article, we prove that the function x ? (1-x)pK(?x) is logarithmically concave on (0,1) if and only if p ? 7/32, the function x ? K(?x)/log(1+4/?1-x) is convex on (0,1) and the function x ?
Miao-Kun Wang, Hong-Hu Chu, Yong-Min Li, Y. Chu   +3 more
semanticscholar   +1 more source

ε-factorized differential equations for two-loop non-planar triangle Feynman integrals with elliptic curves

Journal of High Energy Physics, 2023
In this paper, we investigate two-loop non-planar triangle Feynman integrals involving elliptic curves. In contrast to the Sunrise and Banana integral families, the triangle families involve non-trivial sub-sectors. We show that the methodology developed
Xuhang Jiang, Xing Wang, Li Lin Yang, Jingbang Zhao   +3 more
doaj   +1 more source

Analytic results for two-loop planar master integrals for Bhabha scattering

Journal of High Energy Physics, 2021
We analytically evaluate the master integrals for the second type of planar contributions to the massive two-loop Bhabha scattering in QED using differential equations with canonical bases.
Claude Duhr, Vladimir A. Smirnov, Lorenzo Tancredi   +2 more
doaj   +1 more source

Elliptic Integrals [PDF]

Computers in Physics, 1990
[no abstract] ; © 1990 AIP Publishing.
Press, William H., Teukolsky, Saul A.
openaire   +2 more sources

Convexity and monotonicity for elliptic integrals of the first kind and applications [PDF]

Applicable Analysis and Discrete Mathematics, 2017
In the paper, by virtue of two new tools, the authors present the monotonicity and convexity of certain combinations of the complete elliptic integrals of the first kind, and obtain new sharp bounds and inequalities for them.
Zhen-Hang Yang, Jingfeng Tian
semanticscholar   +1 more source