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  • The paper describes the symmetric and antisymmetric exponential functions of four variables, based on the permutation group S4. We derive the explicit formulas for corresponding families of the orthogonal polynomials and some of their properties, namely the orthogonality, both the continuous one and the discrete one on the lattice. A general formula for orthogonal polynomials in n variables connected with symmetric exponential functions is given.
  • The paper describes the symmetric and antisymmetric exponential functions of four variables, based on the permutation group S4. We derive the explicit formulas for corresponding families of the orthogonal polynomials and some of their properties, namely the orthogonality, both the continuous one and the discrete one on the lattice. A general formula for orthogonal polynomials in n variables connected with symmetric exponential functions is given. (en)
Title
  • On Discretization of Polynomials Corresponding to Symmetric and Antisymmetric Functions in Four Variables
  • On Discretization of Polynomials Corresponding to Symmetric and Antisymmetric Functions in Four Variables (en)
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  • On Discretization of Polynomials Corresponding to Symmetric and Antisymmetric Functions in Four Variables
  • On Discretization of Polynomials Corresponding to Symmetric and Antisymmetric Functions in Four Variables (en)
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  • RIV/68407700:21340/14:00222575!RIV15-MSM-21340___
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  • 34268
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  • RIV/68407700:21340/14:00222575
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  • symmetrization; exponential function; orthogonal polynomials; several variables; generating function (en)
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  • [6A1722E42965]
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  • Recent Results in Pure and Applied Mathematics
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  • Pošta, Severin
  • Bezubik, A.
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  • Bialystok University of Technology Publishing Office
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  • 978-83-62582-57-0
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  • 21340
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