Classical and generalized Jacobi polynomials orthogonal with different weight functions and differential equations satisfied by these polynomials
Marčoková, Mariana; Guldan, Vladimír
- Proceedings of Equadiff 14, Publisher: Slovak University of Technology in Bratislava, SPEKTRUM STU Publishing(Bratislava), page 287-294
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topMarčoková, Mariana, and Guldan, Vladimír. "Classical and generalized Jacobi polynomials orthogonal with different weight functions and differential equations satisfied by these polynomials." Proceedings of Equadiff 14. Bratislava: Slovak University of Technology in Bratislava, SPEKTRUM STU Publishing, 2017. 287-294. <http://eudml.org/doc/294899>.
@inProceedings{Marčoková2017,
abstract = {In this contribution we deal with classical Jacobi polynomials orthogonal with respect to different weight functions, their special cases - classical Legendre polynomials and generalized brothers of them. We derive expressions of generalized Legendre polynomials and generalized ultraspherical polynomials by means of classical Jacobi polynomials.},
author = {Marčoková, Mariana, Guldan, Vladimír},
booktitle = {Proceedings of Equadiff 14},
keywords = {Orthogonal polynomial, weight function, classical Jacobi polynomial, classical Legendre polynomial, generalized orthogonal polynomial, differential equation},
location = {Bratislava},
pages = {287-294},
publisher = {Slovak University of Technology in Bratislava, SPEKTRUM STU Publishing},
title = {Classical and generalized Jacobi polynomials orthogonal with different weight functions and differential equations satisfied by these polynomials},
url = {http://eudml.org/doc/294899},
year = {2017},
}
TY - CLSWK
AU - Marčoková, Mariana
AU - Guldan, Vladimír
TI - Classical and generalized Jacobi polynomials orthogonal with different weight functions and differential equations satisfied by these polynomials
T2 - Proceedings of Equadiff 14
PY - 2017
CY - Bratislava
PB - Slovak University of Technology in Bratislava, SPEKTRUM STU Publishing
SP - 287
EP - 294
AB - In this contribution we deal with classical Jacobi polynomials orthogonal with respect to different weight functions, their special cases - classical Legendre polynomials and generalized brothers of them. We derive expressions of generalized Legendre polynomials and generalized ultraspherical polynomials by means of classical Jacobi polynomials.
KW - Orthogonal polynomial, weight function, classical Jacobi polynomial, classical Legendre polynomial, generalized orthogonal polynomial, differential equation
UR - http://eudml.org/doc/294899
ER -
References
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