140 citations · 372 across the 78 of their papers we have counts for
78 papers
Simulation of Time-dependent Karhunen-Loeve Phase Screens: an Ergodic Approach
Richard J. Mathar
Time-dependent phase screens in ground-based astronomy are typically simulated in the so-called frozen-screen approximation by establishing a static phase screen on a large pupil a…
Chebyshev Expansion of the Zernike Polynomials
Richard J. Mathar
The even and odd Zernike Polynomials R_n^m(x) can be expanded into sums of even and odd Chebyshev Polynomials T_i(x). This manuscript provides closed forms for the rational expansi…
Improving radial velocity precision with CARMENES-PLUS:An upgrade of the near-infrared spectrograph cooling system
R. Varas, R. Calvo-Ortega, P. J. Amado +25
CARMENES is a dual-channel high-resolution spectrograph at the 3.5 m Calar Alto telescope designed to detect low-mass planets around late-type dwarfs by measuring their radial velo…
Chebyshev approximation of in the interval
Richard J. Mathar
The series expansion of in terms of the shifted Chebyshev Polynomials requires evaluation of the integral family $\int_0^1 x^m (-\log x)^l dx / \sqrt{x…
Bivariate Generating Functions Enumerating Non-Bonding Dominoes on Rectangular Boards
Richard J. Mathar
The manuscript studies configurations of non-overlapping non-bonding dominoes on finite rectangular boards of unit squares characterized by row and column number. The non-bonding d…
The Foucault Pendulum: Trajectories of the Full Lagrangian
Richard J. Mathar
The Foucault Pendulum is a Spherical Pendulum of fixed length with two angular degrees of freedom, attached to a suspension which rotates once a day around the Earth axis at a dist…