Multi-dimensional extension of the Chebyshev polynomials
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- by Richard O. Hays PDF
- Math. Comp. 27 (1973), 621-624 Request permission
Abstract:
Two families of polynomials are introduced which satisfy multi-dimensional (or multi-indiced) recursion relationships. These polynomials are developed from the Chebyshev polynomials. Also two additional polynomials are presented which satisfy a special two-dimensional recursion relationship.References
- George Arfken, Mathematical methods for physicists, Academic Press, New York-London, 1966. MR 0205512
- Shigetoshi Katsura and Sakari Inawashiro, Lattice Green’s functions for the rectangular and the square lattices at arbitrary points, J. Mathematical Phys. 12 (1971), 1622–1630. MR 284138, DOI 10.1063/1.1665785
- Henry Margenau and George Moseley Murphy, The mathematics of physics and chemistry, D. Van Nostrand Co., Inc., Princeton, N.J., 1956. MR 0074264
Additional Information
- © Copyright 1973 American Mathematical Society
- Journal: Math. Comp. 27 (1973), 621-624
- MSC: Primary 41A10
- DOI: https://doi.org/10.1090/S0025-5718-1973-0333526-1
- MathSciNet review: 0333526