TY  - GEN 
AU  - Filipuk, Galina
AU  - Mañas Mañas, Juan Francisco
AU  - Moreno Balcázar, Juan José
PY  - 2022
SN  - 1563-5120
UR  - http://hdl.handle.net/10835/16077
AB  - We consider a general Sobolev--type inner product involving the Hahn difference operator, so this includes the well--known difference operators $\mathscr{D}_{q}$ and $\Delta$ and, as a limit case, the derivative operator. The objective is to construct...
LA  - en
KW  - Sobolev orthogonal polynomials
KW  - Hahn difference operator
KW  - Ladder operators
KW  - Difference equations
KW  - Classical orthogonal polynomials
KW  - Differential operator
TI  - Second--order difference equation for Sobolev--type orthogonal polynomials. Part I: theoretical results
ER  -