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Subjects
33-XX Special functions ( deals with the properties of functions as functions)
33Cxx Hypergeometric functions
33C50 Orthogonal polynomials and functions in several variables expressible in terms of special functions in one variable

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On certain formulas for the multivariable hypergeometric functions.

Raina, R.K. (1995)

Acta Mathematica Universitatis Comenianae. New Series

On nodal sets and nodal domains on $S^{2}$ and $ℝ^{2}$

Alexandre Eremenko, Dmitry Jakobson, Nikolai Nadirashvili (2007)

Annales de l’institut Fourier

We discuss possible topological configurations of nodal sets, in particular the number of their components, for spherical harmonics on $S^{2}$ . We also construct a solution of the equation $Δ u = u$ in $ℝ^{2}$ that has only two nodal domains. This equation arises in the study of high energy eigenfunctions.

On two systems of orthogonal polynomials related to the Pollaczek polynomials

Jairo A. Charris, Guillermo Rodriguez-Blanco, Claudia Gómez (1992)

Revista colombiana de matematicas

Currently displaying 1 – 3 of 3