Results 81 to 90 of about 2,865 (170)

Population and single‐cell analyses reveal immune cell‐specific expression profiles associated with Alzheimer's disease risk

Alzheimer's &Dementia, Volume 22, Issue 3, March 2026.
Abstract INTRODUCTION Dysregulation of the peripheral immune system may increase Alzheimer's disease (AD) risk, but the underlying cell type‐specific mechanisms remain unclear. METHODS We conducted Mendelian randomization and colocalization analyses of 4489 genes using single‐cell expression quantitative trait locus data from unstimulated and ...
Joni V. Lindbohm, Martin Stražar, Hang‐Mao Lee, Orr Ashenberg, Nina Mars, Pyry N. Sipilä, Samuli Ripatti, Dan Graham, Mika Kivimäki, Ramnik J. Xavier   +9 more
wiley   +1 more source

Vector-Valued Polynomials and a Matrix Weight Function with B2-Action. II

Symmetry, Integrability and Geometry: Methods and Applications, 2013
This is a sequel to [SIGMA 9 (2013), 007, 23 pages], in which there is a construction of a 2×2 positive-definite matrix function K(x) on R^2. The entries of K(x) are expressed in terms of hypergeometric functions. This matrix is used in the formula for a
Charles F. Dunkl
doaj   +1 more source

Potentials for the singular elliptic equations and their application

Results in Applied Mathematics, 2020
Potential theory has played a paramount role in both analysis and computation for boundary value problems for elliptic equations. In the middle of the last century, a potential theory was constructed for a two-dimensional elliptic equation with one ...
T.G. Ergashev
doaj   +1 more source

Third-Order Fuzzy Subordination and Superordination on Analytic Functions on Punctured Unit Disk

Axioms
This work’s theorems and corollaries present new third-order fuzzy differential subordination and superordination results developed by using a novel convolution linear operator involving the Gaussian hypergeometric function and a previously studied ...
Ekram E. Ali, Georgia Irina Oros, Rabha M. El-Ashwah, Abeer M. Albalahi   +3 more
doaj   +1 more source

Properties of analytic functions involving a differintegral operator defined using R-function

Arab Journal of Basic and Applied Sciences
The so-called R-function combines the generalized Gaussian hypergeometric function and generalized Mittag-Leffler function. The R-function is a generalization of well-known M-series which is defined to accommodate the well-known Srivastava-Tomovski ...
Elangho Umadevi, Kadhavoor R. Karthikeyan, Dharmaraj Mohankumar   +2 more
doaj   +1 more source

Supercongruences between truncated ₂𝐹₁ hypergeometric functions and their Gaussian analogs [PDF]

Transactions of the American Mathematical Society, 2002
Fernando Rodriguez-Villegas has conjectured a number of supercongruences for hypergeometric Calabi-Yau manifolds of dimension d ≤
openaire   +4 more sources

Distribution of the Hessian values of Gaussian hypergeometric functions

The Ramanujan Journal
Abstract We consider a special family of Gaussian hypergeometric functions whose entries are cubic and trivial characters over finite fields. The special values of these functions are known to give the Frobenius traces of families of Hessian elliptic curves.
Ono, Ken, Pujahari, Sudhir, Saad, Hasan, Saikia, Neelam   +3 more
openaire   +3 more sources

Close-to-convexity properties of Gaussian hypergeometric functions

Journal of Computational and Applied Mathematics, 1998
Let \(F(a, b;c;z)\) be the classical hypergeometric function. The sufficient conditions on \(a\), \(b\), \(c\) under which \(zF(a,b; c,z)\) or \({c\over ab} [F(a, b; c;z)- 1]\) is closed-to-convex of order \(\beta\) in \(| z|< 1\) are given. Example: If \(a\in (0,\infty)\), \(b\in\left(0,{1\over a}\right]\) and if for some real \(\eta\), \(|\eta|< {\pi\
openaire   +2 more sources

The balance simplex in non-competitive 2-species scaled Lotka–Volterra systems

Journal of Biological Dynamics, 2019
Explicit expressions in terms of Gaussian Hypergeometric functions are found for a ‘balance’ manifold that connects the non-zero steady states of a 2-species, non-competitive, scaled Lotka–Volterra system by the unique heteroclinic orbits. In this model,
Atheeta Ching, Stephen Baigent
doaj   +1 more source

On the Generalized Inverse Gaussian Volatility in the Continuous Ho–Lee Model

Computation
This paper presents a new model of the term structure of interest rates that is based on the continuous Ho–Lee one. In this model, we suggest that the drift and volatility coefficients depend additionally on a generalized inverse Gaussian (GIG ...
Roman V. Ivanov
doaj   +1 more source