[1] MR2127867 Area,
I.; Godoy,
E.; Marcellán,
F.; Moreno-Balcázar,
J. J. $\Delta$-Sobolev orthogonal polynomials of Meixner type:
asymptotics and limit relation.
J. Comput. Appl. Math. 178
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no. 1-2, 21--36. 33C45
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[2] MR2117368
(Review) Rodal,
J.; Area,
I.; Godoy,
E. Orthogonal polynomials of two discrete variables on the simplex.
Integral Transforms Spec. Funct. 16
(2005),
no. 3, 263--280. (Reviewer: Alexander M. Barg) 33C45
(05E35 33C50)
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[3] MR2098629
(2005e:39048) Area,
I.; Godoy,
E.; Ronveaux,
A.; Zarzo,
A. Hypergeometric type $q$-difference equations: Rodrigues type
representation for the second kind solution.
J. Comput. Appl. Math. 173
(2005),
no. 1, 81--92. 39A13
(33C20 33C45)
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[4] MR2086650
(2005g:33039) Area,
I.; Godoy,
E.; Wo\'zny,
P.; Lewanowicz,
S.; Ronveaux,
A. Formulae relating little $q$-Jacobi, $q$-Hahn and $q$-Bernstein
polynomials: application to $q$-Bézier curve evaluation.
Integral Transforms Spec. Funct. 15
(2004),
no. 5, 375--385. (Reviewer: Anbhu Swaminathan) 33D45
(33F05 42C05)
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[5] MR2059744
(2005g:33011) Area,
Iván; Dimitrov,
Dimitar K.; Godoy,
Eduardo; Ronveaux,
André Zeros of Gegenbauer and Hermite polynomials and
connection coefficients.
Math. Comp. 73 (2004),
no. 248, 1937--1951 (electronic). (Reviewer: Franck Wielonsky) 33C45
(26C10)
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[6] MR2033351
(2004m:33013) Area,
I.; Godoy,
E.; Ronveaux,
A.; Zarzo,
A. Classical symmetric orthogonal polynomials of a discrete
variable.
Integral Transforms Spec. Funct. 15
(2004),
no. 1, 1--12. (Reviewer: Ekatherina A. Karatsuba) 33C45
(33C20)
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[7] MR1996469
(2004i:33013) Area,
I.; Godoy,
E.; Ronveaux,
A.; Zarzo,
A. Hypergeometric-type differential equations: second kind
solutions and related integrals.
J. Comput. Appl. Math. 157
(2003),
no. 1, 93--106. (Reviewer: N. Hayek Calil) 33C20
(33C45 34A25 39A05)
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[8] MR1961429
(2004c:33016) Area,
I.; Godoy,
E.; Ronveaux,
A.; Zarzo,
A. Classical discrete orthogonal polynomials, Lah numbers, and
involutory matrices.
Appl. Math. Lett. 16 (2003),
no. 3, 383--387. 33C45
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[9] MR1949214
(2003m:33009) Area,
I.; Godoy,
E.; Marcellán,
F. $\Delta$-coherent pairs and orthogonal polynomials of a discrete
variable.
Integral Transforms Spec. Funct. 14
(2003),
no. 1, 31--57. (Reviewer: Pascal Maroni) 33C45
(42C05)
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[10] MR1953006 Ronveaux,
A.; Zarzo,
A.; Area,
I.; Godoy,
E. Expansion of hypergeometric polynomials: several approaches.
Contemporary problems in mathematical physics (Cotonou,
2001), 446--459, World Sci. Publishing, River Edge, NJ,
2002. 33C20
(33-02)
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[11] MR1891019
(2003d:33038) Area,
I.; Godoy,
E.; Marcellán,
F. $q$-coherent pairs and $q$-orthogonal polynomials.
Orthogonal systems and applications.
Appl. Math. Comput. 128 (2002),
no. 2-3, 191--216. (Reviewer: Mizan Rahman) 33D45
(33D15)
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[12] MR1858275
(2003j:33017) Area,
I.; Godoy,
E.; Ronveaux,
A.; Zarzo,
A. Solving connection and linearization problems within the Askey
scheme and its $q$-analogue via inversion formulas.
Proceedings of the Fifth International Symposium on Orthogonal
Polynomials, Special Functions and their Applications (Patras, 1999).
J. Comput. Appl. Math. 133
(2001),
no. 1-2, 151--162. 33C20
(33C45 33D45)
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[13] MR1785535
(2001d:42016) Area,
I.; Godoy,
E.; Marcellán,
F. Classification of all $\Delta$-coherent pairs.
Integral Transform. Spec. Funct. 9
(2000),
no. 1, 1--18. 42C05
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[14] MR1780044
(2002a:33016) Ronveaux,
A.; Zarzo,
A.; Area,
I.; Godoy,
E. Classical orthogonal polynomials: dependence of parameters.
Numerical analysis in the 20th century, Vol. I, Approximation theory.
J. Comput. Appl. Math. 121
(2000),
no. 1-2, 95--112. (Reviewer: Om P. Singh) 33C45
(42C05)
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[15] MR1767103
(2002k:33019) Lewanowicz,
Stanis\l aw; Godoy,
Eduardo; Area,
Iván; Ronveaux,
André; Zarzo,
Alejandro Recurrence relations for the coefficients of the Fourier
series expansions with respect to $q$-classical orthogonal polynomials.
Numer. Algorithms 23 (2000),
no. 1, 31--50. (Reviewer: P. R. Parthasarathy) 33D45
(33C45 33F10 39A13)
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[16] MR1765938
(2001d:33018) Area,
I.; Godoy,
E.; Marcellán,
F.; Moreno-Balcázar,
J. J. Inner products involving $q$-differences: the little
$q$-Laguerre-Sobolev polynomials.
Higher transcendental functions and their applications.
J. Comput. Appl. Math. 118
(2000),
no. 1-2, 1--22. 33D45
(33C45)
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[17] MR1752153
(2000m:33006) Area,
I.; Godoy,
E.; Marcellán,
F. Inner products involving differences: the Meixner-Sobolev
polynomials.
J. Differ. Equations Appl. 6
(2000),
no. 1, 1--31. 33C45
(33D45 42C05)
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[18] MR1741786
(2000k:42032) Area,
I.; Godoy,
E.; Marcellán,
F.; Moreno-Balcázar,
J. J. Ratio and Plancherel-Rotach asymptotics for Meixner-Sobolev
orthogonal polynomials.
J. Comput. Appl. Math. 116
(2000),
no. 1, 63--75. 42C05
(33C45 39A10)
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[19] MR1750545
(2001f:33031) Area,
I.; Godoy,
E.; Ronveaux,
A.; Zarzo,
A. Inversion problems in the $q$-Hahn tableau.
Orthogonal polynomials and computer algebra.
J. Symbolic Comput. 28 (1999),
no. 6, 767--776. (Reviewer: Walter Van Assche) 33F10
(33D45 42C05)
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[20] MR1750544
(2001e:33011) Ronveaux,
A.; Zarzo,
A.; Area,
I.; Godoy,
E. Decomposition of polynomials with respect to the cyclic group of
order $m$.
Orthogonal polynomials and computer algebra.
J. Symbolic Comput. 28 (1999),
no. 6, 755--765. (Reviewer: Pascal Maroni) 33F10
(42C05)
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[21] MR1662705
(99k:33033) Ronveaux,
A.; Zarzo,
A.; Area,
I.; Godoy,
E. Transverse limits in the Askey tableau.
Proceedings of the VIIIth Symposium on Orthogonal Polynomials and Their
Applications (Seville, 1997).
J. Comput. Appl. Math. 99
(1998),
no. 1-2, 327--335. 33C45
(39A10)
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[22] MR1662693
(2000c:33021) Godoy,
E.; Ronveaux,
A.; Zarzo,
A.; Area,
I. Connection problems for polynomial solutions of nonhomogeneous
differential and difference equations.
Proceedings of the VIIIth Symposium on Orthogonal Polynomials and Their
Applications (Seville, 1997).
J. Comput. Appl. Math. 99
(1998),
no. 1-2, 177--187. (Reviewer: Dharma P. Gupta) 33D45
(33C45 39A11 65Q05)
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[23] MR1659743
(99i:33011) Ronveaux,
A.; Area,
I.; Godoy,
E.; Zarzo,
A. Recursive approach to connection and linearization coefficients
between polynomials.
Special functions and differential equations (Madras, 1997),
83--101, Allied Publ., New Delhi, 1998. 33C45
(39A10)
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[24] MR1658178
(99g:33032) Ronveaux,
A.; Zarzo,
A.; Area,
I.; Godoy,
E. Bernstein bases and Hahn-Eberlein orthogonal polynomials.
Integral Transform. Spec. Funct. 7
(1998),
no. 1-2, 87--96. 33C45
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[25] MR1627176
(99h:33048) Ronveaux,
A.; Godoy,
E.; Zarzo,
A.; Area,
I. Fourth-order difference equation for the first associated of
classical discrete orthogonal polynomials.
J. Comput. Appl. Math. 90
(1998),
no. 1, 45--50. (Reviewer: Peter Schroth) 33C45
(39A10)
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[26] MR1626601
(99g:33024) Godoy,
E.; Ronveaux,
A.; Zarzo,
A.; Area,
I. On the limit relations between classical continuous and discrete
orthogonal polynomials.
J. Comput. Appl. Math. 91
(1998),
no. 1, 97--105. 33C45
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[27] MR1626526
(99a:33004b) Area,
I.; Godoy,
E.; Ronveaux,
A.; Zarzo,
A. Corrigendum: "Minimal recurrence relations for connection
coefficients between classical orthogonal polynomials: discrete case".
J. Comput. Appl. Math. 89
(1998),
no. 2, 309--325. 33C45
(42C05 68Q05)
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[28] MR1490486
(99a:33004a) Area,
I.; Godoy,
E.; Ronveaux,
A.; Zarzo,
A. Minimal recurrence relations for connection coefficients between
classical orthogonal polynomials: discrete case.
J. Comput. Appl. Math. 87
(1997),
no. 2, 321--337. 33C45
(42C05 65Q05)
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[29] MR1475378
(99g:33023) Godoy,
E.; Ronveaux,
A.; Zarzo,
A.; Area,
I. Minimal recurrence relations for connection coefficients between
classical orthogonal polynomials: continuous case.
J. Comput. Appl. Math. 84
(1997),
no. 2, 257--275. (Reviewer: Nicholay G. Tomin) 33C45
(42C05)
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[30] MR1449238
(98g:33014) Zarzo,
A.; Area,
I.; Godoy,
E.; Ronveaux,
A. Results for some inversion problems for classical continuous and
discrete orthogonal polynomials.
J. Phys. A 30 (1997),
no. 3, L35--L40. (Reviewer: Pascal Maroni) 33C45
|