Results 31 to 40 of about 9,846 (249)
Hypergeometric evaluation identities and supercongruences [PDF]
Pacific Journal of Mathematics, 2011 In this article, we provide an application of hypergeometric evaluation identities, including a strange valuation of Gosper, to prove several supercongruences related to special valuations of truncated hypergeometric series. In particular, we prove a conjecture of van Hamme.
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Elliott's identity and hypergeometric functions
Journal of Mathematical Analysis and Applications, 2002 Elliot's identity involving the Gaussian hypergeometric series contains, as a special case, the classical Legendre identity for the complete elliptic integrals. The aim of this paper is to derive a differentiation formula for an expression involving the Gaussian hypergeometric series, which, for appropriate values of the parameters, implies Elliot's ...
Balasubramanian, R. +3 more
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Theta Functions, Elliptic Hypergeometric Series, and Kawanaka's Macdonald Polynomial Conjecture
Symmetry, Integrability and Geometry: Methods and Applications, 2009 We give a new theta-function identity, a special case of which is utilised to prove Kawanaka's Macdonald polynomial conjecture. The theta-function identity further yields a transformation formula for multivariable elliptic hypergeometric series which ...
Robin Langer +2 more
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Somatic mutational landscape in von Hippel–Lindau familial hemangioblastoma
Molecular Oncology, EarlyView.The causes of central nervous system (CNS) hemangioblastoma in Von Hippel–Lindau (vHL) disease are unclear. We used Whole Exome Sequencing (WES) on familial hemangioblastoma to investigate events that underlie tumor development. Our findings suggest that VHL loss creates a permissive environment for tumor formation, while additional alterations ...
Maja Dembic +5 more
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Developmental, Neuroanatomical and Cellular Expression of Genes Causing Dystonia
Annals of Clinical and Translational Neurology, EarlyView.ABSTRACT Objective Dystonia is one of the most common movement disorders, with variants in multiple genes identified as causative. However, an understanding of which developmental stages, brain regions, and cell types are most relevant is crucial for developing relevant disease models and therapeutics.
Darren Cameron +5 more
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Combinatorial identities and hypergeometric series
, 2022 This paper describes a method to find a connection between combinatorial identities and hypergeometric series with a number of examples. Combinatorial identities can often be written as hypergeometric series with unit argument. In a number of cases these hypergeometric series are balanced and can be reduced to a simpler form.
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Some applications of a hypergeometric identity [PDF]
Mathematical Sciences, 2015 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Eslahchi, M. R., Masjed-Jamei, Mohammad
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Advanced Healthcare Materials, EarlyView.We developed a novel copper‐doped aluminum nano‐adjuvant (CuNA) to overcome cytarabine resistance in acute myeloid leukemia (AML). CuNA effectively sensitizes drug‐resistant AML cells to cytarabine by inducing mitochondrial dysfunction and inhibiting HMGCR/GPX4 to amplify ferroptosis.
Chao He +10 more
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Advanced Healthcare Materials, EarlyView.This work presents ARC‐3D, a soft 3D model that recreates how brain support cells, called astrocytes, react to oxidative stress. The system visualizes rapid calcium changes and inflammatory signals, and shows how the drug KDS12025 can protect cells from damage. ARC‐3D offers a simple, reliable way to study early drivers of brain inflammation.
Ju‐Kang Kim +6 more
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On Summations of Generalized Hypergeometric Functions with Integral Parameter Differences
MathematicsIn this paper, we present an extension of the Karlsson–Minton summation formula for a generalized hypergeometric function with integral parameter differences.
Kirill Bakhtin, Elena Prilepkina
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