Results 31 to 40 of about 2,340,716 (311)
R-summed form of adiabatic expansions in curved spacetime
, 2020 The Feynman propagator in curved spacetime admits an asymptotic (Schwinger-DeWitt) series expansion in derivatives of the metric. Remarkably, all terms in the series containing the Ricci scalar R can be summed exactly. We show that this (non-perturbative)
Ferreiro, Antonio +2 more
core +1 more source
New BBP-Type Formulae for π Derived from New Forms of Taylor Expansions of Inverse Tangent Function
Mathematics, 2022 In this work, we give two new Taylor expansions of arctan(x + ω), where ω represents a finite increment of x. We discover several remarkable infinite series from these expansions by special substitutions.
Xin Wu, Zhongfan Chen, Yinan Zhu
doaj +1 more source
SERIES EXPANSIONS AND SUDDEN SINGULARITIES [PDF]
The Thirteenth Marcel Grossmann Meeting, 2015 We construct solutions of the Friedmann equations near a sudden singularity using generalized series expansions for the scale factor, the density, and the pressure of the fluid content. In this way, we are able to arrive at a solution with a sudden singularity containing two free constants, as required for a general solution of the cosmological ...
Barrow, John D. +2 more
openaire +2 more sources
The c-function expansion of a basic hypergeometric function associated to root systems [PDF]
, 2014 We derive an explicit c-function expansion of a basic hypergeometric function associated to root systems. The basic hypergeometric function in question was constructed as explicit series expansion in symmetric Macdonald polynomials by Cherednik in case ...
Gasper +11 more
core +4 more sources
, 2014 The coupling parameter series expansion and the high temperature series expansion in the ther- modynamic perturbation theory of fluids are shown to be equivalent if the interaction potential is pairwise additive. As a consequence, for the class of fluids
Ramana, A. Sai Venkata
core +1 more source
Pediatric Blood &Cancer, EarlyView.ABSTRACT Background/Objectives Osteosarcoma is a radioresistant tumor that may benefit from stereotactic body radiation therapy (SBRT) for locoregional control in metastatic/recurrent disease. We report institutional practice patterns, outcomes, toxicity, and failures in osteosarcoma patients treated with SBRT.
Jenna Kocsis +13 more
wiley +1 more source
Analysis of the fractional relativistic isothermal gas sphere with application to neutron stars
Open PhysicsThe isothermal gas sphere model may be beneficial for understanding certain features of astrophysical objects like stars, but it has severe limits when used for compact stars.
Nouh Mohamed I. +3 more
doaj +1 more source
AIMS MathematicsBy utilizing the generating function of higher-order Bernoulli polynomials, we uncover novel relationships that intertwine higher-order Bernoulli polynomials, higher-order Bernoulli numbers, Stirling numbers of the second kind, and central factorial ...
Aimin Xu
doaj +1 more source
Stochastic series expansion method for quantum Ising models with arbitrary interactions [PDF]
, 1998 A quantum Monte Carlo algorithm for the transverse Ising model with arbitrary short- or long-range interactions is presented. The algorithm is based on sampling the diagonal matrix elements of the power series expansion of the density matrix (stochastic ...
Boulanger, C M +10 more
core +3 more sources
Pediatric Blood &Cancer, EarlyView.ABSTRACT Introduction Neuroblastoma (NB) with central nervous system (CNS) metastases is rare at diagnosis, but occurs more often during relapse/progression. Patients with CNS metastases face a dismal prognosis, with no standardized curative treatment available.
Vicente Santa‐Maria Lopez +13 more
wiley +1 more source