RT Journal Article
SR Electronic
A1 Guldan, Vladimir
A1 Marcokova, Mariana
T1 Orthogonal Polynomials and Related Special Functions Applied in Geosciences and Engineering Computations
JF Communications - Scientific Letters of the University of Zilina
YR 2010
VO 12
IS 1
SP 12
OP 15
DO 10.26552/com.C.2010.1.12-15
UL https://komunikacie.uniza.sk/artkey/csl-201001-0002.php
AB 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.