PT Journal
AU Guldan, V
   Marcokova, M
TI Orthogonal Polynomials and Related Special Functions Applied in Geosciences and Engineering Computations
SO Communications - Scientific Letters of the University of Zilina
PY 2010
BP 12
EP 15
VL 12
IS 1
DI 10.26552/com.C.2010.1.12-15
WP https://komunikacie.uniza.sk/artkey/csl-201001-0002.php
DE no keywords
SN 13354205
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.
ER