Test vectors for finite periods and base change
Sign Up to like & getrecommendations! Published in 2020 at "Advances in Mathematics"
DOI: 10.1016/j.aim.2019.106915
Abstract: Let $E/F$ be a quadratic extension of finite fields. By a result of Gow, an irreducible representation $\pi$ of $G = {\rm GL}_n(E)$ has at most one non-zero $H$-invariant vector, up to multiplication by scalars,… read more here.
Keywords: base change; test vectors; bessel function; base ... See more keywords
Calibration for phase retardation of photoelastic modulator based on compound Bessel function
Sign Up to like & getrecommendations! Published in 2020 at "Optik"
DOI: 10.1016/j.ijleo.2020.164322
Abstract: Abstract The photoelastic modulator (PEM) is an optical modulation device which is widely used in optical detections. In this paper, we propose a high-precision and large-scale method for calibrating the peak retardations of PEM based… read more here.
Keywords: compound bessel; bessel function; bessel; retardation ... See more keywords
Bessel function descriptions of magneto-chiral interactions (DMI)-magnetic and spin flexoelectric skyrmions
Sign Up to like & getrecommendations! Published in 2021 at "Physica B: Condensed Matter"
DOI: 10.1016/j.physb.2021.412980
Abstract: Abstract In this work we present an exact Bessel function solution to the variation equations for a ground state of the chiral Hamiltonians in the continuum limit for cylindrical symmetry. The solution imposes no constraints… read more here.
Keywords: magnetic spin; function descriptions; chiral interactions; bessel function ... See more keywords
Asymptotic Bessel-function expansions for Legendre and Jacobi functions
Sign Up to like & getrecommendations! Published in 2019 at "Journal of Mathematical Physics"
DOI: 10.1063/1.5030869
Abstract: We present new asymptotic series for the Legendre and Jacobi functions of the first and second kinds in terms of Bessel functions with appropriate arguments. The results are useful in the context of scattering problems,… read more here.
Keywords: bessel; legendre jacobi; asymptotic bessel; bessel function ... See more keywords
On approximating the modified Bessel function of the second kind
Sign Up to like & getrecommendations! Published in 2017 at "Journal of Inequalities and Applications"
DOI: 10.1186/s13660-017-1317-z
Abstract: In the article, we prove that the double inequalities πe−x2(x+a) read more here.
Keywords: second kind; modified bessel; function second; sqrt ... See more keywords