Results 11 to 20 of about 1,384 (130)

Bilateral inversions and terminating basic hypergeometric series identities

Discrete Mathematics, 2009
A \(q\)-analogue of the Legendre inversion is established and generalized to bilateral sequences. They are employed to investigate the dual relations of three basic formulae due to Jackson and Bailey, on balanced \(_{3}\phi_{2}\)-series, well-poised \(_{8}\phi_{7}\)-series and bilateral \(_{6}\psi_{6}\)-series.
CHU, Wenchang, WANG C.
openaire   +5 more sources

On certain transformations of poly-basic bilateral hypergeometric series

Journal of Computational and Applied Mathematics, 2003
The authors establish transformations of poly-basic bilateral hypergeometric series in terms of another similar series not necessary having the same number of bases. As application of the obtained results, they derive expressions of the product of two \(q\)-series in terms of another product of two series which lead to interesting transformations of ...
Denis, Remy Y., Singh, S.N., Singh, S.P.
openaire   +4 more sources

On transformation of certain bilateral basic hypergeometric series and their applications

Proceedings - Mathematical Sciences, 2019
In this paper, the authors presented transformation and summation formulae for bilateral basic hypergeometric series: \[\sum_{n=-\infty}^{\infty}\frac{(a)_n}{(b)_n}z^n= \frac{(b/a;q)_\infty}{(b,bz/a;q)_\infty}\sum_{n=-\infty}^{\infty}(a)_nz^n\] whenever \(\max\{|b/a|,|1/b|\}
Somashekara, D. D., Vidya, K. N.
openaire   +3 more sources

Motor performance and higher associative cortical networks in adolescents with neonatal hypoxic-ischaemic encephalopathy treated with therapeutic hypothermia. [PDF]

Dev Med Child Neurol
Several functional connections between ROIs in the somatomotor (purple) and the default mode network (gray) were significantly associated with the MABC‐2 “aiming and catching” sub‐domain in the HIE cohort in comparison to controls. The colors of the connections represents the correlation coefficient with either negative (light blue to magenta) or ...
Håkansson G, Eriksson Westblad M, Örtqvist M, Ådén U, Blennow M, Fransson P.   +5 more
europepmc   +2 more sources

Targeting ROCK2 to Restore Epileptic Synaptic Networks via Mitophagy Activation: Insights from Translational Imaging of SV2A In Vivo. [PDF]

Adv Sci (Weinh)
By integrating synaptic vesicle glycoprotein 2A PET imaging and transcriptomics, this study identifies Rho‐associated protein kinase 2 (ROCK2) as a critical regulator of synaptic network dysfunction in temporal lobe epilepsy. Pharmacological ROCK2 inhibition restores synaptic density and enhances mitophagy, thereby reducing seizures and neuronal damage.
Xiao L, Wang J, Chen B, Yang J, Wu F, Zhou C, Zhang Y, Yang Z, Liu D, Tian L, Yu J, Han F, Tang Y, Feng L, Hu S.   +14 more
europepmc   +2 more sources

Microglial GPR35 Ameliorates Epileptogenesis and Neuroinflammation via PDGFA Domain 2 Signaling. [PDF]

Adv Sci (Weinh)
Activation of microglial G protein–coupled receptor 35 (GPR35) by L‐kynurenic acid (L‐Kyna) initiates a platelet‐derived growth factor A (PDGFA)–dependent phosphoinositide 3‐kinase–protein kinase B (PI3K–AKT) signaling cascade that dampens hippocampal neuroinflammation, thereby restraining epileptogenesis, lowering seizure susceptibility, and ...
Wang Q, Qu T, Sun Q, Li R, Dong J, Du Y, Xuan Z, Wang L, Li H, Sun J, Chen F, Liu J, Yang Z, Lei J, Yang Q, Wang B, Zhou Z, Wang Y.   +17 more
europepmc   +2 more sources

Vitamin D Regulates Olfactory Function via Dual Transcriptional and mTOR-Dependent Translational Control of Synaptic Proteins. [PDF]

Adv Sci (Weinh)
Vitamin D (VitD) modulates olfactory function by remodeling dendrodendritic synapses in tufted cells through vitamin D receptor‐dependent transcriptional and translational mechanisms. VitD regulates synaptic protein translation partially via mTOR signaling.
Ren P, Cao R, Ye X, Pang W, Bi Q, Huang M, Zhou Q, Ye D, Xiang W, Xiao L.   +9 more
europepmc   +2 more sources

Ntoco Promotes Ferroptosis via Hnrnpab-Mediated NF-κB/Lcn2 Axis Following Traumatic Brain Injury in Mice. [PDF]

CNS Neurosci Ther
The study identifies Ntoco as a critical regulator of ferroptosis in traumatic brain injury (TBI). Ntoco knockdown alleviates neuronal damage, while its overexpression exacerbates ferroptosis. This research highlights targeting Ntoco as a potential therapeutic strategy for reducing ferroptosis‐induced damage in TBI. ABSTRACT Objective Emerging evidence
Wang Q, Zuo H, Sun H, Xiao X, Wang Z, Li T, Luo X, Wang Y, Wang T, Li J, Gao L.   +10 more
europepmc   +2 more sources

Regulation of Osteoimmune Microenvironment and Osteogenesis by 3D‐Printed PLAG/black Phosphorus Scaffolds for Bone Regeneration

Advanced Science, Volume 10, Issue 28, October 6, 2023., 2023
A PLGA/BP scaffold fabricated by 3D printing technology to improve the bone immune microenvironment and promote bone regeneration is intoduced. PLGA/BP scaffolds modulate the polarization of macrophages from M1 to M2, effectively inhibiting the inflammatory response. Furthermore, the activation of the PI3K‐AKT pathways by PLGA/BP scaffolds promotes the
Jing Long, Zhenyu Yao, Wei Zhang, Ben Liu, Kaiming Chen, Long Li, Bin Teng, Xiang‐Fu Du, Cairong Li, Xue‐Feng Yu, Ling Qin, Yuxiao Lai   +11 more
wiley   +1 more source

Orthogonality Property of the Discrete q‐Hermite Matrix Polynomials

Mathematical Problems in Engineering, Volume 2022, Issue 1, 2022., 2022
In this paper, we prove that the solution of the autonomous q‐difference system DqY(x) = AY(qx) with the initial condition Y(0) = Y0 where A is a constant square complex matrix, Dq is the Jackson q‐derivative and 0 < q < 1, is asymptotically stable if and only if ℜ(λ) < 0 for all λ ∈ σ(A) where σ(A) is the set of all eigenvalues of A (the spectrum of A)
Ahmed Salem, Faris Alzahrani, Moustafa El-Shahed, Giovanni Falsone   +3 more
wiley   +1 more source