Results 41 to 50 of about 8,499 (170)
Rectangular Potentials in a Semi-Harmonic Background: Spectrum, Resonances and Dwell Time [PDF]
, 2011 We study the energy properties of a particle in one dimensional semi-harmonic rectangular wells and barriers. The integration of energies is obtained by solving a simple transcendental equation.
Fernández-García, Nicolás +1 more
core +5 more sources
Mathematics, 2015 In a joint paper with Srivastava and Chopra, we introduced far-reaching generalizations of the extended Gammafunction, extended Beta function and the extended Gauss hypergeometric function.
Rakesh K. Parmar
doaj +1 more source
Confluence of hypergeometric functions and integrable hydrodynamic type systems
, 2016 It is known that a large class of integrable hydrodynamic type systems can be constructed through the Lauricella function, a generalization of the classical Gauss hypergeometric function. In this paper, we construct novel class of integrable hydrodynamic
Kodama, Y., Konopelchenko, B.
core +1 more source
PT-symmetric deformations of Calogero models [PDF]
, 2008 We demonstrate that Coxeter groups allow for complex PT-symmetric deformations across the boundaries of all Weyl chambers. We compute the explicit deformations for the A2 and G2-Coxeter group and apply these constructions to Calogero–Moser–Sutherland ...
Andreas Fring +18 more
core +5 more sources
, 2015 This paper derives new integral representations for products of two parabolic cylinder functions. In particular, expressions are obtained for D_{nu}(x)D_{mu}(y), with x>0 and y>0, that allow for different orders and arguments in the two parabolic ...
Veestraeten, Dirk
core +1 more source
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
wiley +1 more source
Supersymmetry, shape invariance and the hypergeometric equation
, 2014 It has been shown earlier that the solubility of the Legendre and the associated Legendre equations can be understood as a consequence of an underlying supersymmetry and shape invariance. We have extended this result to the hypergeometric equation. Since
Das, Ashok K., Kalauni, Pushpa
core +1 more source
A (p, ν)-extension of the Appell function F1(·) and its properties [PDF]
, 2019 In this paper, we obtain a (p, v)-extension of the Appell hypergeometric functionF1(·), together with its integral representation, by using the extended Beta functionBp,v(x, y) introduced in [9].
Dar, S. A., Paris, R. B.
core +2 more sources
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 +4 more
wiley +1 more source
Modifying Glucose Metabolism Reverses Memory Defects of Alzheimer's Disease Model at Late Stages
Advanced Science, EarlyView.Using spatial transcriptomics, we show that ferul enanthate (SL‐ZF‐01) reverses episodic‐like memory deficits in aged, but not young, Alzheimer’s disease (AD) mice. SL restores glucose metabolism and Glucose Transporter 1/3 expression via an ‘Aging‐AD‐Rescue’ pattern, rescuing deficits seen in aged AD mice.
Fang Liu +14 more
wiley +1 more source