L-classical d-orthogonal polynomial sets of Sheffer type
In this paper, we characterize L-classical d-orthogonal polynomial sets of Sheffer type where L being a lowering operator commutating with the derivative operator D and belonging to {D,eD-1, sin(D)}. For the first case we state a (d+1)-order differential equation satisfied by the corresponding polyn...
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| Veröffentlicht in: | Filomat 2019, Vol.33 (3), p.881-895 |
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| creator | Cheikh, Youssèf Gam, Inès |
| description | In this paper, we characterize L-classical d-orthogonal polynomial sets of
Sheffer type where L being a lowering operator commutating with the
derivative operator D and belonging to {D,eD-1, sin(D)}. For the first
case we state a (d+1)-order differential equation satisfied by the
corresponding polynomials. We, also, show that, with these three lowering
operators, all the orthogonal polynomial sets are classified as L-classical
orthogonal polynomial sets.
nema |
| doi_str_mv | 10.2298/FIL1903881C |
| format | Article |
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Sheffer type where L being a lowering operator commutating with the
derivative operator D and belonging to {D,eD-1, sin(D)}. For the first
case we state a (d+1)-order differential equation satisfied by the
corresponding polynomials. We, also, show that, with these three lowering
operators, all the orthogonal polynomial sets are classified as L-classical
orthogonal polynomial sets.
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Sheffer type where L being a lowering operator commutating with the
derivative operator D and belonging to {D,eD-1, sin(D)}. For the first
case we state a (d+1)-order differential equation satisfied by the
corresponding polynomials. We, also, show that, with these three lowering
operators, all the orthogonal polynomial sets are classified as L-classical
orthogonal polynomial sets.
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Sheffer type where L being a lowering operator commutating with the
derivative operator D and belonging to {D,eD-1, sin(D)}. For the first
case we state a (d+1)-order differential equation satisfied by the
corresponding polynomials. We, also, show that, with these three lowering
operators, all the orthogonal polynomial sets are classified as L-classical
orthogonal polynomial sets.
nema</abstract><doi>10.2298/FIL1903881C</doi><tpages>15</tpages><oa>free_for_read</oa></addata></record> |
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| language | eng |
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| title | L-classical d-orthogonal polynomial sets of Sheffer type |
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