The second-order self-associated orthogonal sequences
2004 ◽
Vol 2004
(2)
◽
pp. 137-167
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Keyword(s):
The aim of this work is to describe the orthogonal polynomials sequences which are identical to their second associated sequence. The resulting polynomials are semiclassical of classs≤3. The characteristic elements of the structure relation and of the second-order differential equation are given explicitly. Integral representations of the corresponding forms are also given. A striking particular case is the case of the so-called electrospheric polynomials.
1989 ◽
Vol 32
(4)
◽
pp. 404-411
◽
1998 ◽
Vol 90
(2)
◽
pp. 135-156
◽
2005 ◽
Vol 20
(4)
◽
pp. 765-774
◽
1995 ◽
Vol 37
(1)
◽
pp. 105-113
◽
2014 ◽
Vol 194
(5)
◽
pp. 1319-1348
2016 ◽
Vol 28
(1)
◽
pp. 39-55
◽
1962 ◽
Vol 10
(3)
◽
pp. 454-468
◽
2010 ◽
Vol 216
(9)
◽
pp. 2718-2727
◽
1931 ◽
Vol 27
(4)
◽
pp. 546-552
◽