Results 41 to 50 of about 41,081 (281)

Selberg integrals, super-hypergeometric functions and applications to β-ensembles of random matrices [PDF]

Random Matrices: Theory and Applications, 2015
We study a new Selberg-type integral with n + m indeterminates, which turns out to be related to the deformed Calogero–Sutherland systems. We show that the integral satisfies a holonomic system of n + m non-symmetric linear partial differential equations. We also prove that a particular hypergeometric function defined in terms of super-Jack polynomials
Desrosiers, Patrick, Liu, Dang-Zheng
openaire   +4 more sources

Molecular characterisation of human penile carcinoma and generation of paired epithelial primary cell lines

Molecular Oncology, EarlyView.
Generation of two normal and tumour (cancerous) paired human cell lines using an established tissue culture technique and their characterisation is described. Cell lines were characterised at cellular, protein, chromosome and gene expression levels and for HPV status.
Simon Broad, Mahmood Hachim, Tom Bertin, Karolina Penderecka, Rifat Hamoudi, Saif Khan, Rui Henrique, Natalie Bergmoser, Manit Arya, Kalle Sipila, Matteo Vietri Rudan, Asif Muneer, Aamir Ahmed   +12 more
wiley   +1 more source

An application of hypergeometric functions to a problem in function theory [PDF]

International Journal of Mathematics and Mathematical Sciences, 1981
In some recent work in univalent function theory, Aharonov, Friedland, and Brannan studied the series . Brannan posed the problem of determining . Brannan showed that if β ≥ α ≥ 0, and α + β ≥ 2, then (α, β) ∈ S. He also proved that (α, 1) ∈ S for α ≥ 1.
openaire   +2 more sources

Counting With Irrational Tiles [PDF]

, 2014
We introduce and study the number of tilings of unit height rectangles with irrational tiles. We prove that the class of sequences of these numbers coincides with the class of diagonals of N-rational generating functions and a class of certain binomial ...
Garrabrant, Scott, Pak, Igor
core   +1 more source

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, Nicholas E. Clifton, Daniel Cabezas de la Fuente, Peter Holmans, Nicholas J. Bray, Kathryn J. Peall   +5 more
wiley   +1 more source

Explicit evaluations of subfamilies of the hypergeometric function $ _3F_2(1) $ along with specific fractional integrals

AIMS Mathematics
The present study explores the application of hypergeometric functions in evaluating fractional integrals, providing a comprehensive framework to bridge fractional calculus and special functions.
Abdelhamid Zaidi, Saleh Almuthaybiri
doaj   +1 more source

Classification of integrable two-component Hamiltonian systems of hydrodynamic type in 2+1 dimensions

, 2010
Hamiltonian systems of hydrodynamic type occur in a wide range of applications including fluid dynamics, the Whitham averaging procedure and the theory of Frobenius manifolds. In 1+1 dimensions, the requirement of the integrability of such systems by the
A. V. Odesskii, Akhiezer N. I., Bureau F. J., Burnat M., Dubrovin B. A., E. V. Ferapontov, Godunov S. K., N. M. Stoilov, Peradzyński Z., Tsarev S. P., Tsarev S. P.   +10 more
core   +1 more source

A 3D Astrocyte Microenvironment Model Enables Rapid Ca2+‐Resolved Analysis and Therapeutic Modulation of Oxidative Neuroinflammation

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, Ye‐Ji Kim, Seyoung Ryu, Daeui Park, Kyoung‐Sik Moon, Yu Bin Lee, Dong Ho Woo   +6 more
wiley   +1 more source

Integration of Hypergeometric Supertrigonometric Functions Using Generalized Hypergeometric Functions and its Applications

Journal of Institute of Science and Technology
This study explores the integration of hypergeometric supertrigonometric functions, with a particular focus on hypergeometric supersine and hypergeometric supercosine functions, by leveraging the properties and relationships of generalized hypergeometric functions.
Ganesh Bahadur Basnet, Narayan Prasad Pahari, Resham Prasad Paudel   +2 more
openaire   +1 more source

Low‐Temperature Fabrication of Thymosin β4‐Loaded Soluble Microneedles to Promote Wound Healing by Specific Binding to Downregulated Immune Regulators Vsig4 and IL22rɑ2

Advanced Healthcare Materials, EarlyView.
Schematic diagram depicting the fabrication and application of thymosin β4 (Tβ4)‐loaded microneedle patches for wound treatment. The Tβ4 was loaded into chitosan (CS) and sucrose MNs under mild conditions (4°C, 65% relative humidity). The Tβ4 MN patch specifically binds to the downregulated immune regulators Vsig4 and IL22rα2, thereby accelerating ...
Shilong He, Mei Yuan, Changkang Feng, Yixuan Zhang, Jinjing Che   +4 more
wiley   +1 more source