- The approximation of almost time- and band-limited functions by their expansion in some orthogonal polynomials bases
2016/09/09 by Philippe Jaming, Abderrazek Karoui, Susanna Spektor · 6 citations
Computer Science · Mathematics · #Applied mathematics #Associated Legendre polynomials #Chebyshev polynomials #Classical orthogonal polynomials #Corollary #Digital Filter Design and Implementation #Discrete orthogonal polynomials #Gegenbauer polynomials #Hermite polynomials #Jacobi polynomials #Legendre function #Legendre polynomials #Mathematical Analysis and Transform Methods #Mathematical analysis #Mathematical functions and polynomials #Mathematics #Orthogonal polynomials #Pure mathematics #Wilson polynomials
- PROLATE SPHEROIDAL HARMONIC EXPANSION OF GRAVITATIONAL FIELD
2014/05/09 by Toshio Fukushima · 1 citation
Earth and Planetary Sciences · Physics and Astronomy · Biochemistry, Genetics and Molecular Biology · Mathematics · #Geophysics and Gravity Measurements #Solar and Space Plasma Dynamics #Geomagnetism and Paleomagnetism Studies #Physics #Prolate spheroid #Spherical harmonics #Prolate spheroidal coordinates #Gravitational field #Legendre polynomials #Associated Legendre polynomials #Legendre function #Harmonics #Field (mathematics) #Gravitation #Computation #Classical mechanics #Mathematical analysis #Quantum mechanics #Pure mathematics #Orthogonal polynomials #Mathematics #Algorithm
- A note on the potential of a homogeneous ellipsoid in ellipsoidal coordinates
1990/02/21 by T. Miloh · 1 citation
Physics and Astronomy · Mathematics · Chemistry · #Scientific Research and Discoveries #Ellipsoid #Spheroid #Legendre polynomials #Prolate spheroid #Oblate spheroid #Homogeneous #Prolate spheroidal coordinates #Legendre function #Mathematical analysis #Mathematics #Spherical coordinate system #Associated Legendre polynomials #Physics #Geometry #Classical mechanics #Combinatorics #Chemistry #Orthogonal polynomials #Classical orthogonal polynomials #Gegenbauer polynomials
- The potential for a homogeneous spheroid in a spheroidal coordinate system. I. At an exterior point
1988/11/21 by W X Wang · 1 citation
Earth and Planetary Sciences · Physics and Astronomy · Mathematics · #Geophysics and Gravity Measurements #Historical Astronomy and Related Studies #Relativity and Gravitational Theory #Coordinate system #Equipotential surface #Spherical coordinate system #Elliptic coordinate system #Prolate spheroidal coordinates #Ellipsoidal coordinates #Spheroid #Legendre function #Equipotential #Physics #Homogeneous #Point (geometry) #Polar coordinate system #Legendre polynomials #Cylindrical coordinate system #Cartesian coordinate system #Bipolar coordinates #Classical mechanics #Mathematical analysis #Coordinate space #Geometry #Mathematics #Prolate spheroid #Generalized coordinates #Quantum mechanics #Statistical physics