Zobrazeno 1 - 10
of 845
pro vyhledávání: '"Jiu Lin"'
Publikováno v:
Open Mathematics, Vol 21, Iss 1, Pp 50-73 (2023)
The method of brackets is a symbolic approach to the computation of integrals over Rn{{\mathbb{R}}}^{n} based on a deep result by Ramanujan. Its usefulness to obtain new and difficult integrals has been demonstrated many times in the last few years.
Externí odkaz:
https://doaj.org/article/d23f2eef1672419b81651dbd759075b2
Autor:
Ya-Jing Liu, Yue-Ling Li, Zhong-Han Fang, Hong-Lin Liao, Yan-Yan Zhang, Jiu Lin, Fei Liu, Jie-Fei Shen
Publikováno v:
Frontiers in Cellular Neuroscience, Vol 16 (2022)
Peripheral and central sensitizations of the trigeminal nervous system are the main mechanisms to promote the development and maintenance of chronic orofacial pain characterized by allodynia, hyperalgesia, and ectopic pain after trigeminal nerve inju
Externí odkaz:
https://doaj.org/article/53445783340c4921bbe383965857d729
Lattice geometries and random walks on them are of great interest for their applications in different fields such as physics, chemistry, and computer science. In this work, we focus on multi-headed lattices and study properties of the Green functions
Externí odkaz:
http://arxiv.org/abs/2405.20294
Publikováno v:
Open Mathematics, Vol 18, Iss 1, Pp 983-995 (2020)
The method of brackets, developed in the context of evaluation of integrals coming from Feynman diagrams, is a procedure to evaluate definite integrals over the half-line. This method consists of a small number of operational rules devoted to convert
Externí odkaz:
https://doaj.org/article/ba905dac502d44e38f79156f543afcce
It is a standard result that the Hankel determinants for a sequence stay invariant after performing the binomial transform on this sequence. In this work, we extend the scenario to $q$-binomial transforms and study the behavior of the leading coeffic
Externí odkaz:
http://arxiv.org/abs/2401.17220
Autor:
Jiu, Lin, Peng, Linyu
The hyperbolic secant distribution has several generalizations with applications in finance. In this study, we explore the dual geometric structure of one such generalization, namely the beta-logistic distribution. Recent findings also interpret Bern
Externí odkaz:
http://arxiv.org/abs/2312.10710
Publikováno v:
Open Mathematics, Vol 15, Iss 1, Pp 1181-1211 (2017)
The method of brackets is an efficient method for the evaluation of alarge class of definite integrals on the half-line. It is based on a small collection of rules, some of which are heuristic. The extension discussed here is based on the concepts of
Externí odkaz:
https://doaj.org/article/5a6d16133ced486b91d181b4f2e2411e
Given a positive integer $n$, consider a random permutation $\tau$ of the set $\{1,2,\ldots, n\}$. In $\tau$, we look for sequences of consecutive integers that appear in adjacent positions: a maximal such a sequence is called a block. Each block in
Externí odkaz:
http://arxiv.org/abs/2309.08841
Publikováno v:
Open Mathematics, Vol 14, Iss 1, Pp 681-686 (2016)
The method of brackets is a method of integration based upon a small number of heuristic rules. Some of these have been made rigorous. An example of an integral involving the Bessel function is used to motivate a new evaluation rule.
Externí odkaz:
https://doaj.org/article/defe92d3cd1547cf99f16a8b2518ae66
Autor:
Chern, Shane, Jiu, Lin
The $q$-analogs of Bernoulli and Euler numbers were introduced by Carlitz. Similar to the recent results on the Hankel determinants for the $q$-Bernoulli numbers established by Chapoton and Zeng, we determine parallel evaluations for the $q$-Euler nu
Externí odkaz:
http://arxiv.org/abs/2305.06623