Results 101 to 110 of about 43,514 (215)
Exact analytical solutions of the Bloch equation for the hyperbolic‐secant and chirp pulses
Magnetic Resonance in Medicine, Volume 94, Issue 5, Page 2140-2149, November 2025.Abstract Purpose To improve the accuracy and generality of analytical solutions of the Bloch equation for the hyperbolic‐secant (HS1) and chirp pulses in order to facilitate application to truncated and composite pulses and use in quantitative methods.
Ryan H. B. Smith +2 more
wiley +1 more source
Celestial conformal blocks of massless scalars and analytic continuation of the Appell function F 1
Journal of High Energy PhysicsIn celestial conformal field theory (CCFT), the 4d massless scalars are represented by 2d conformal operators with conformal dimensions h = h ¯ $$ \overline{h} $$ = (1 + iλ)/2.
Wei Fan
doaj +1 more source
Abstract and Applied Analysis, 2014 Computing the matrix elements of the linear operator, which transforms the spherical basis of SO(3,1)-representation space into the hyperbolic basis, very recently, Shilin and Choi (2013) presented an integral formula involving the product of two ...
I. A. Shilin, Junesang Choi
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Speed of Convergence to Normality When Regressors Are Nonstationary
Oxford Bulletin of Economics and Statistics, Volume 87, Issue 5, Page 871-879, October 2025.ABSTRACT Stochastic and deterministic trends always coexist in data generating processes, which causes the nonstationarity and non‐standard distributions of statistics used in inference. It is known that the presence of the deterministic trend leads to asymptotic normality of the t‐statistics.
Lukasz T. Gatarek, Aleksander Welfe
wiley +1 more source
On a problem for mixed type equation with partial riemann-liouville fractional derivative
Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2016 The uniqueness and existence of solutions of a nonlocal problem proved for an equation of mixed type. This equation contains diffusion equation of fractional order.
Oleg A Repin, Anna V Tarasenko
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Jaccard dissimilarity in stochastic community models based on the species‐independence assumption
Ecography, Volume 2025, Issue 8, August 2025.A fundamental problem in ecology is understanding the changes in species composition among sites (i.e. beta‐diversity). It is unclear how spatial heterogeneity in species occupancy across sites shapes patterns of beta‐diversity. To address this question, we develop probabilistic models that consider two spatial or temporal sites, where presence ...
Ryosuke Iritani +5 more
wiley +1 more source
Gauss quadrature approximations to hypergeometric and confluent hypergeometric functions
Journal of Computational and Applied Mathematics, 2002 The author analyzes the error of the Gauss quadrature formula to compute hypergeometric and confluent hypergeometric functions based on their integral representations. The error is analyzed both in terms of the derivatives of the integrand and in terms of the derivative-free contour integral representation of the remainder term in the case of the ...
openaire +1 more source
Proceedings of the London Mathematical Society, Volume 131, Issue 2, August 2025.Abstract We study fine properties of the principal frequency of clamped plates in the (possibly singular) setting of metric measure spaces verifying the RCD(0,N)${\sf RCD}(0,N)$ condition, that is, infinitesimally Hilbertian spaces with nonnegative Ricci curvature and dimension bounded above by N>1$N>1$ in the synthetic sense.
Alexandru Kristály, Andrea Mondino
wiley +1 more source
Axioms, 2012 Recently, an extended operator of fractional derivative related to a generalized Beta function was used in order to obtain some generating relations involving the extended hypergeometric functions [1].
H. M. Srivastava +2 more
doaj +1 more source
Axion‐Like Interactions and CFT in Topological Matter, Anomaly Sum Rules and the Faraday Effect
Advanced Physics Research, Volume 4, Issue 7, July 2025.This review investigates the connection between chiral anomalies and their manifestation in topological materials, using both perturbative methods based on ordinary quantum field theory and conformal field theory (CFT). It emphasizes the role of CFT in momentum space for parity‐odd correlation functions, and their reconstruction by the inclusion of a ...
Claudio Corianò +4 more
wiley +1 more source