Communications - Scientific Letters of the University of Zilina 2010, 12(1):12-15 | DOI: 10.26552/com.C.2010.1.12-15

Orthogonal Polynomials and Related Special Functions Applied in Geosciences and Engineering Computations

Vladimir Guldan1, Mariana Marcokova1
1 Department of Mathematics, Faculty of Science, University of Zilina, Slovakia

In applications of mathematics involving either the Laplace or the Helmholtz equation in spherical coordinates the associated Legendre equation occurs. Its solutions are called associated Legendre functions. They have some relations to classical Legendre orthogonal polynomials and classical Jacobi orthogonal polynomials. The classical Legendre polynomials and the associated Legendre functions have been used by some authors at the approximation of length of curves and cylindrical surfaces and the approximation of Earth shape in geosciences and engineering computations. In the present paper we investigate some relations between these functions pointing out possible applications in geosciences.

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Published: March 31, 2010  Show citation

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Guldan, V., & Marcokova, M. (2010). Orthogonal Polynomials and Related Special Functions Applied in Geosciences and Engineering Computations. Communications - Scientific Letters of the University of Zilina, 12(1), 12-15. doi: 10.26552/com.C.2010.1.12-15
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