Results 81 to 90 of about 1,936 (189)
On the F-distributions and confluent hypergeometric functions
Bulletin of the Faculty of Science, Ibaraki University. Series A, Mathematics, 1995 For infinitely divisible probability densities of the form \(Cx^{\alpha - 1} (1 + x)^{- \alpha - \beta}\) with \(\alpha, \beta > 0\), which includes the \(F\)-distributions, describing the Lévy measure leads to the problem of solving for \(k\) the equation \[ x^\alpha (1 + x)^{- \alpha - \beta} = \int^x_0 (x - t)^{\alpha - 1} (1 + x - t)^{- \alpha ...
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Aging Cell, Volume 25, Issue 7, July 2026.Mt‐dsRNA signatures increase in the human brain after midlife in parallel with disrupted mitochondrial RNA homeostasis and are further elevated in Alzheimer's disease, where they correlate with cognitive decline and neuropathology. These findings suggest that age‐related mitochondrial RNA dyshomeostasis may drive chronic inflammation and contribute to ...
Rachel L. Doser, Thomas J. LaRocca
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Extended Conformable K-Hypergeometric Function and Its Application
Advances in Mathematical PhysicsThe extended conformable k-hypergeometric function finds various applications in physics due to its ability to describe complex mathematical relationships arising in different physical scenarios. Here are a few instances of its uses in physics, including
Maham Abdul Qayyum +4 more
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Drugst.One DREAM—Drug repurposing through expert annotation and modification
British Journal of Pharmacology, Volume 183, Issue 13, Page 3503-3516, July 2026.Background and Purpose Complex diseases often lack an actionable understanding of their underlying causal biological mechanisms, which leads to treating symptoms rather than causes. Network and systems medicine define disease mechanisms through disease‐associated genes, their encoded proteins and their protein–protein interactions (PPIs), thus forming ...
Lisa M. Spindler +8 more
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Multivariate Generalization of the Confluent Hypergeometric Function Kind 1 Distribution
International Journal of Mathematics and Mathematical Sciences, 2008 The confluent hypergeometric function kind 1 distribution with the probability density function (pdf) proportional to x_−1F11(α;β;−x), x>0 occurs as the distribution of the ratio of independent gamma and beta variables.
Daya K. Nagar +1 more
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Confluent Hypergeometric Functions and Wild Ramification
Journal of Algebra, 1996 This paper provides `numerical' evidence to the fact that irregular singularities for differential equations and wild ramification for \(\ell\)-adic sheafs are similar phenomena, by computing the determinant of the period matrix attached to confluent hypergeometric functions on the one hand, and the determinant of the Frobenius action on the sheaves ...
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Plant, Cell &Environment, Volume 49, Issue 7, Page 3764-3776, July 2026.ABSTRACT Salt‐stress priming enhances the tolerance of plants against subsequent exposure to a similar stress. Priming‐induced transcriptomic reprogramming is mediated by multiple epigenetic mechanisms, the best known of which is histone modifications. However, not much is known about other epigenetic responses.
Wai‐Shing Yung +7 more
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Extende beta, hypergeometric and confluent hypergeometric functions
, 2019 15 ...
Khan, N. U., Usman, T., Aman, M.
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Exact solution of the 1D Dirac equation for a pseudoscalar interaction potential with the inverse-square-root variation law. [PDF]
Sci Rep, 2023 Ishkhanyan AM, Krainov VP.
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MathematicsWhen studying the boundary value problems’ solvability for some partial differential equations encountered in applied mathematics, we frequently need to create systems of partial differential equations and explicitly construct linearly independent ...
Ainur Ryskan +3 more
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