Results 81 to 90 of about 1,745,713 (225)
A Two-Line Algorithm for Proving Terminating Hypergeometric Identities
, 1996 We give an algorithm that takes a proposed terminating hypergeometric identity of the form[formula]and directly fromn0,F(n,k), andf(n) computes an explicit integern1such that if the equality holds for alln∈{n0,n0+1,…,n1} then ∑kF(n,k)=f(n) for alln≥n0 ...
Yen, Lily
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Advanced Science, EarlyView.Fuyuan Huoxue decoction improves lumbar interbody fusion in rats while reducing inflammatory macrophage activity and supporting bone‐forming stem cells. Experiments implicate extracellular DNA and TLR9/NF‐κB signaling in early responses. These findings point to coordinated control of inflammation and osteogenesis as a potential route to stronger spinal
Hongwei Gao +8 more
wiley +1 more source
A relationship between rational and multi-soliton solutions of the BKP hierarchy [PDF]
, 2005 We consider a special class of solutions of the BKP hierarchy which we call $\tau$-functions of hypergeometric type. These are series in Schur $Q$-functions over partitions, with coefficients parameterised by a function of one variable $\xi$, where the ...
Orlov, A.Y., Nimmo, J.J.C.
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On the 1/c expansion in 2d CFTs with degenerate operators
Journal of High Energy PhysicsWe analytically determine the large central charge asymptotic expansion of Virasoro conformal blocks entering in four-point functions with external degenerate operators on a sphere in 2d CFTs, and study its resurgence properties as a function of the ...
Agnese Bissi +4 more
doaj +1 more source
Identities Arising from a Certain Family of Special Combinatorial Numbers and Polynomials
MathematicsThe results obtained in this paper extend several identities and interpolation formulas previously established for the numbers y9,n(λ;a) to the higher-order case.
Damla Gun +2 more
doaj +1 more source
Notes on the lens integral pentagon identity [PDF]
, 2022 We obtain the lens integral pentagon identity for three-dimensional mirror dual theories in terms of hyperbolic hypergeometric functions via reduction of equality for $\mathcal N=2$ lens supersymmetric partition functions of a certain supersymmetric IR ...
Gahramanov, Ilmar +2 more
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Adaptive Cellular Responsiveness to Electrical Stimulation at the Skin‐Electrode Interface
Advanced Science, EarlyView.This study presents an adaptive bioelectronic response in which sustained electrical stimulation (ES) upregulates voltage‐gated calcium channels (VGCCs) and enhances cellular sensitivity to subsequent ES at the skin‐device interface. VGCC‐associated adaptive sensitization promotes regenerative wound‐healing responses in vivo, including accelerated ...
Yeon Jae Chang +11 more
wiley +1 more source
Some vanishing sums involving binomial coefficients in the denominator [PDF]
, 2008 Identities involving binomial coeffcients usually arise in situations where counting is carried out in two different ways. For instance, some identities obtained by William Horrace [1] using probability theory turn out to be special cases of the Chu ...
Sury, B., Purkait, S. (Soma)
core
Advanced Science, EarlyView.When nucleus pulposus cells senesce, PHGDH decreases, reducing serine synthesis and glutathione, impairing antioxidant capacity. The intermediate α‐KG also drops, lowering JMJD3 demethylase activity, increasing H3K27me3 at the Rap1b promoter, and reducing Rap1b expression, whose down‐regulation in turn activates mTORC1 and suppresses autophagy ...
Hao‐Wei Xu +5 more
wiley +1 more source
AxiomsWe consider the step-λ parametrization of the type A Lauricella matrix hypergeometric function FA,λ, defined by replacing the classical matrix Pochhammer symbol with (A)m,λ=A(A+λI)⋯A+(m−1)λI,λ>0.
Ahmed Bakhet +3 more
doaj +1 more source