Results 31 to 40 of about 3,647,357 (169)
On certain relations between products of bilateral hypergeometric series [PDF]
Darling [3] in 1932 and Bailey [2] in 1933 gave certain theorems on products of hypergeometric series. Again in 1948 Sears [4] used the relation which expresses the series in terms of M other series of the same type to derive transformations between products of both basic and ordinary hypergeometric series. In this paper I give certain general theorems
openaire +2 more sources
Structural Polymorphism of polyG Inclusions Revealed by In Situ Cryo‐Electron Tomography
Correlative cryo‐electron tomography in primary cortical neurons and NIID mouse brain tissue reveals that polyG inclusions are interconnected ribbon‐like assemblies rather than canonical amyloid fibrils. Multiple compartment‐specific ribbon states show distinct 26S proteasome accessibility, while cytoplasmic ribbons contact and deform ER‐like ...
Yunwen Qian +12 more
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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
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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
Abstract INTRODUCTION Preserving adult hippocampal neurogenesis alleviates cognitive deficits in Alzheimer's disease (AD), yet how biophysical alterations in such as stiffness in the neurogenic niche regulate neurogenesis remains unclear. METHODS Stiffness in the hippocampal dentate gyrus subgranular cell zone (SGZ) of 5×FAD mice was measured using ...
Weiqi Sun +25 more
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Logarithmic A-hypergeometric series [PDF]
The method of Frobenius is a standard technique to construct series solutions of an ordinary linear differential equation around a regular singular point.
Saito, Mutsumi
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Logarithmic A-hypergeometric series II [PDF]
In this paper, following (Saito in Int J Math 31(13):2050110, 2020), we continue to develop the perturbingmethod of constructing logarithmic series solutions to a regular A-hypergeometric system.
Okuyama, Go, Saito, Mutsumi
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Edge Density Expansions for the Classical Gaussian and Laguerre Ensembles
ABSTRACT Recent work of Bornemann has uncovered hitherto hidden integrable structures relating to the asymptotic expansion of quantities at the soft edge of the Gaussian and Laguerre random matrix ensembles. These quantities are spacing distributions and the eigenvalue density, and the findings cover the cases of the three symmetry classes: orthogonal,
Peter J. Forrester +2 more
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Some transformations of basic hypergeometric series and their applications
Using Bailey’s transformation, relations between basic and basic bilateral hypergeometric series are obtained. Some interesting special cases, like identities of Rogers-Ramanujan type, summation theorems for particular basic bilateral hypergeometric ...
V. K. Jain
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Paternal Circadian Disruption Impairs Offspring Cognition via Sperm microRNAs
Paternal circadian disruption remodels the sperm small RNA payload, elevating miR‐92a‐3p/miR‐25‐3p levels and perturbing early embryonic gene regulatory programs. Microinjection experiments and single‐embryo transcriptomics reveal sex‐specific developmental vulnerabilities, ultimately impairing offspring hippocampal synaptic plasticity and cognition ...
Kexin Zou +22 more
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