Results 71 to 80 of about 1,660,374 (285)
Some integral identities for products of Airy functions using integral transforms
, 2018 In this paper, using the integral identities of Bessel functions, we obtain new integral identities for the products of Airy functions. We get various integrals involving the Widder potential, the Fourier sine and cosine transforms of the products of ...
Alireza Ansari, Mohammad Rasool Masomi
core +1 more source
Journal of Inequalities and Applications, 2010 We derive eight basic identities of symmetry in three variables related to Euler polynomials and alternating power sums. These and most of their corollaries are new, since there have been results only about identities of symmetry in two variables.
Dae San Kim, Kyoung Ho Park
doaj +1 more source
A Note on Type 2 w-Daehee Polynomials
Mathematics, 2019 In the paper, by virtue of the p-adic invariant integral on Z p , the authors consider a type 2 w-Daehee polynomials and present some properties and identities of these polynomials related with well-known special polynomials.
Minyoung Ma, Dongkyu Lim
doaj +1 more source
An Integral Identity for the Rademacher Functions
Journal of Mathematical Analysis and Applications, 1995 Denote by \(r_j(t)\) the well-known Rademacher functions with the kernel \[ K_n(s, t):= \sum^n_{j= 1} r_j(s) r_j(t),\quad 0\leq s, t\leq 1\quad\text{and}\quad n= 1, 2,\dots\;. \] The author proves the identity \[ \int^1_0 r_{j_1}(s)\cdots r_{j_m}(s)\;F(K_n(s, t)) ds= C^{m, n}_F r_{j_1}(t)\cdots r_{j_m}(t), \] where \(0\leq m\leq n\), \(1\leq ...
openaire +2 more sources
An elliptic integral identity [PDF]
Mathematics of Computation, 1973 The identity \[ K ( τ
openaire +2 more sources
The human gut microbiome across the life course
FEBS Letters, EarlyView.Despite significant individual variation and continuous change throughout life, the human gut microbiome follows some life stage‐specific trends. This article provides a brief overview of how gut microbiome composition shifts across different phases of life. Created in BioRender. Özkurt, E. (2026) https://BioRender.com/8q4nrnc.
Alise J. Ponsero +4 more
wiley +1 more source
Degradation mechanism of the von Willebrand factor A2 domain by nattokinase
FEBS Letters, EarlyView.Nattokinase, a natto‐derived protease, exhibits potent antithrombotic effects. This study demonstrates that nattokinase directly cleaves the von Willebrand factor (vWF) A2 domain in vitro. Unlike the native regulator ADAMTS13, nattokinase degrades folded vWF independently of shear stress.
Ryuichi Hyakumoto +3 more
wiley +1 more source
FEBS Letters, EarlyView.We present robust protocols for the preparation of supported lipid bilayers (SLBs) incorporating either Salmonella smooth LPS or outer membrane vesicles (OMVs). We use a combination of quartz crystal microbalance with dissipation (QCM‐D) and fluorescence microscopy to both characterize the SLBs of various compositions and to probe their interactions ...
Hudson P. Pace +6 more
wiley +1 more source
On the Identities of Symmetry for the ζ-Euler Polynomials of Higher Order
Advances in Difference Equations, 2009 The main purpose of this paper is to investigate several further interesting properties of symmetry for the multivariate p-adic fermionic integral on ℤp.
Taekyun Kim +2 more
doaj +1 more source
Manifesting enhanced cancellations in supergravity: integrands versus integrals
Journal of High Energy Physics, 2017 Examples of ‘enhanced ultraviolet cancellations’ with no known standard-symmetry explanation have been found in a variety of supergravity theories. By examining one- and two-loop examples in four- and five-dimensional half-maximal supergravity, we argue ...
Zvi Bern +3 more
doaj +1 more source