Results 41 to 50 of about 4,179,714 (219)
Some Combinatorics of the Hypergeometric Series
Symmetry formulas for the classical hypergeometric series \({}_ 2F_ 1\) are proved combinatorially. The idea of the proofs is to find weighted combinatorial structures which form models for each side of the formula and to show how to go from the first to the second model by a `weak isomorphism' (i.e.
Jacques Labelle, Yeong-Nan Yeh
openaire +2 more sources
Some Remarks on Very-Well-Poised 8ϕ7 Series
Nonpolynomial basic hypergeometric eigenfunctions of the Askey-Wilson second order difference operator are known to be expressible as very-well-poised 8ϕ7 series.
Jasper V. Stokman
doaj +1 more source
MagmaFlow: A desktop platform for artificial intelligence‐driven expression analysis
MagmaFlow is a free, no‐code platform for gene expression analysis. It generates interactive volcano plots, links genes to literature, pathways, and diseases, prioritizes candidates using millions of publications, identifies affected biological processes, builds network diagrams, and exports publication‐ready figures and reports for macOS and Windows ...
Carlos E. Buss +7 more
wiley +1 more source
Hypergeometric functions in arithmetic geometry [PDF]
textHypergeometric functions seem to be ubiquitous in mathematics. In this document, we present a couple of ways in which hypergeometric functions appear in arithmetic geometry.
Salerno, Adriana Julia, 1979-
core
Systemic platelet factor 4 (PF4) is significantly depleted in amyotrophic lateral sclerosis (ALS). Peripheral PF4 replenishment restores central proteostasis by driving OPTN‐dependent, PINK1‐independent selective autophagy in motor neurons. This intervention effectively clears toxic SOD1 aggregates, blunts glial activation, and preserves neuromuscular ...
Qingjian Xie +12 more
wiley +1 more source
This paper explains how to get integral representations for general hypergeometric series in one or several variables. The way is first to construct the so-called ``exponential modules'' lengthily studied in the \textit{B. Dwork's} book [Generalized hypergeometric functions (Oxford Press 1990; Zbl 0747.33001)] then to use a formal Laplace transform ...
DWORK, B., LOESER, F.
openaire +3 more sources
Frontal lobe traumatic brain injury is associated with hyperactivity of an insular–orbitofrontal circuit in both patients and mice. By combination of integrating functional imaging, cell‐type–specific circuit manipulation, single‐cell transcriptomics, and whole‐cell recordings, this work identifies the downregulation of the potassium channel KCNC3 in ...
Meng‐Ge Li +10 more
wiley +1 more source
Tables of the Lauricella Hypergeometric Functions F^(3)_A
The generalized hypergeometric function qFp is a power series in which the ratio of successive terms is a rational function of the summation index. The Gaussian hypergeometric functions 2F1 and 3F3 are most common special cases of the generalized ...
Abbasova, M.O., Ergashev, T.G.
doaj +1 more source
Glucocorticoids (GC) are widely used to reduce inflammation. We show that the glucocorticoid receptor in myeloid cells regulates macrophage cell cycle and genome integrity during muscle regeneration. We demonstrate that dexamethasone administration during the early inflammatory phase delays muscle repair by increasing macrophage proliferation ...
Sirine Souali‐Crespo +11 more
wiley +1 more source
Single‐cell profiling and functional perturbation reveal coordinated JAK1‐pSTAT3 downstream programs in optic neuritis, including MCL1‐dependent fitness of pathogenic CD4+ Tem cells and glycolysis‐linked, cholesterol‐sensitive B‐cell responses associated with RORA. Upadacitinib disrupts this reciprocal T‐B‐cell circuit and alleviates neuroinflammation,
Gengchen Jiang +12 more
wiley +1 more source

