Results 71 to 80 of about 147 (140)

Rogers’s q-ultraspherical polynomials on a quantum 2-sphere

open access: yesDuke Mathematical Journal, 1991
This article gives a realization of the continuous \(q\)-ultraspherical polynomials \(C^ \lambda_ n(x;q)\) as the spherical functions on a quantum 2-sphere \(S=S^ 2_ q(1,1)\) of Podle\`s. This result is obtained by combining the work of Koornwinder on realiztion of continuous \(q\)-Legendre polynomials \(C_ n^{1/2}(x;q)\) as spherical matrix elements ...
Noumi, Masatoshi, Mimachi, Katsuhisa
openaire   +2 more sources

The Influence of Surface Tension on Oblique Wave Scattering by a Rectangular Trench

open access: yesJournal of Applied Fluid Mechanics, 2019
The diffraction of obliquely incident wave by a symmetric rectangular submarine trench with the effect of surface tension at the free surface is investigated using two dimensional linearized potential theory.
َA. Sasmal, S. Paul, S. De
doaj  

Mean Summability for Ultraspherical Polynomials.

open access: yesMATHEMATICA SCANDINAVICA, 1963
Askey, Richard, Hirschman, I.I. Jr.
openaire   +3 more sources

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