Orthogonal polynomials satisfying fourth order differential equations
1981 ◽
Vol 87
(3-4)
◽
pp. 271-288
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Keyword(s):
SynopsisThese polynomials, which are intimately connected with the Legendre, Laguerre and Jacobi polynomials, are orthogonal with respect to Stieltjes weight functions which are absolutely continuous on (− 1, 1), (0, ∞) and (0, 1), respectively, but which have jumps at some of the intervals' ends. Each set satisfies a fourth order differential equation of the form Ly = λny, where the coefficients of the operator L depends only upon the independent variable. The polynomials also have other properties, which are usually associated with the classical orthogonal polynomials.
1990 ◽
Vol 29
(2)
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pp. 225-231
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1984 ◽
Vol 27
(2)
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pp. 205-214
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1989 ◽
Vol 25
(1)
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pp. 105-109
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2007 ◽
Vol 20
(11)
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pp. 1131-1136
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2003 ◽
Vol 17
(4)
◽
pp. 341-356
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1998 ◽
Vol 21
(3)
◽
pp. 479-488
1976 ◽
Vol 75
(4)
◽
pp. 325-332
2003 ◽
Vol 7
(4)
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pp. 591-604
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