RT Journal Article
T1 A new family of orthogonal polynomials in three variables
A1 Aktaş, Rabia
A1 Area Carracedo, Iván Carlos
A1 Güldoğan, Esra
K1 12 Matemáticas
K1 1201.13 Polinomios
K1 Ecuaciones diferenciales
AB In this paper we introduce a six-parameter generalization of the four-parameter three-variable polynomials on the simplex and we investigate the properties of these polynomials. Sparse recurrence relations are derived by using ladder relations for shifted univariate Jacobi polynomials and bivariate polynomials on the triangle. Via these sparse recurrence relations, second order partial differential equations are presented. Some connection relations are obtained between these polynomials. Also, new results for the four-parameter three-variable polynomials on the simplex are given. Finally, some generating functions are derived.
PB Journal of Inequalities and Applications
SN 1029242X
YR 2020
FD 2020-06-16
LK http://hdl.handle.net/11093/2285
UL http://hdl.handle.net/11093/2285
LA eng
NO Journal of Inequalities and Applications, 2020, 170 (2020)
NO Agencia Estatal de Investigación | Ref. MTM2016-75140-P
DS Investigo
RD 14-sep-2024