-
1
-
-
51649169817
-
Properties of the zeros of the classical orthogonal polynomials and of the Bessel functions
-
S. Ahmed, M. Bruschi, F. Calegro, M.A. Olshantsky, A.M. Perelomov, Properties of the zeros of the classical orthogonal polynomials and of the Bessel functions, Nuovo Cimento B 49 (1979) 173-199.
-
(1979)
Nuovo Cimento B
, vol.49
, pp. 173-199
-
-
Ahmed, S.1
Bruschi, M.2
Calegro, F.3
Olshantsky, M.A.4
Perelomov, A.M.5
-
2
-
-
0011831739
-
Reciprocal power sums of differences of zeros of special functions
-
S. Ahmed, M. Muldoon, Reciprocal power sums of differences of zeros of special functions, SIAM J. Math. Anal. 14 (1983) 372-382.
-
(1983)
SIAM J. Math. Anal.
, vol.14
, pp. 372-382
-
-
Ahmed, S.1
Muldoon, M.2
-
3
-
-
0001683859
-
Classical orthogonal polynomials
-
C. Breziniski, et al. (Eds.), Lecture Notes in Math., 1171, Springer-Verlag, Berlin
-
G.E. Andrews, R.A. Askey, Classical orthogonal polynomials, in: C. Breziniski, et al. (Eds.), Polynomes Orthogonaux et Applications, in: Lecture Notes in Math., Vol. 1171, Springer-Verlag, Berlin, 1984, pp. 36-63.
-
(1984)
Polynomes Orthogonaux et Applications
, pp. 36-63
-
-
Andrews, G.E.1
Askey, R.A.2
-
4
-
-
38249018616
-
Estimates of asymmetric Freud polynomials on the real line
-
W. Bauldry, Estimates of asymmetric Freud polynomials on the real line, J. Approx. Theory 63 (1990) 225-237.
-
(1990)
J. Approx. Theory
, vol.63
, pp. 225-237
-
-
Bauldry, W.1
-
5
-
-
38249017227
-
Estimates of the Hermite and the Freud polynomials
-
S.S. Bonan, D.S. Clark, Estimates of the Hermite and the Freud polynomials, J. Approx. Theory 63 (1990) 210-224.
-
(1990)
J. Approx. Theory
, vol.63
, pp. 210-224
-
-
Bonan, S.S.1
Clark, D.S.2
-
6
-
-
0010175282
-
The associated ultraspherical polynomials and their q-analogues
-
J. Bustoz, M.E.H. Ismail, The associated ultraspherical polynomials and their q-analogues, Canad. J. Math. 34 (1982) 718-736.
-
(1982)
Canad. J. Math.
, vol.34
, pp. 718-736
-
-
Bustoz, J.1
Ismail, M.E.H.2
-
7
-
-
0041047668
-
Ladder operators and differential equations for orthogonal polynomials
-
Y. Chen, M.E.H. Ismail, Ladder operators and differential equations for orthogonal polynomials, J. Phys. A 30 (1997) 7818-7829.
-
(1997)
J. Phys. A
, vol.30
, pp. 7818-7829
-
-
Chen, Y.1
Ismail, M.E.H.2
-
8
-
-
0003489528
-
New Course on the Theory of Equations
-
Wiley, New York
-
L.E. Dickson, New Course on the Theory of Equations, Wiley, New York, 1939.
-
(1939)
-
-
Dickson, L.E.1
-
9
-
-
0004216016
-
Basic Hypergeometric Series
-
Cambridge Univ. Press, Cambridge, UK
-
G. Gasper, M. Rahman, Basic Hypergeometric Series, Cambridge Univ. Press, Cambridge, UK, 1990.
-
(1990)
-
-
Gasper, G.1
Rahman, M.2
-
10
-
-
0004057454
-
Discriminants, Resultants, and Multidimensional Determinants
-
Birkhäuser, Boston
-
I.M. Gelfand, M.M. Kapranov, A.V. Zelevinsky, Discriminants, Resultants, and Multidimensional Determinants, Birkhäuser, Boston, 1994.
-
(1994)
-
-
Gelfand, I.M.1
Kapranov, M.M.2
Zelevinsky, A.V.3
-
11
-
-
0000573182
-
Über die Discriminante der in Endlichen abbrechenden hypergeometrischen Reihe
-
D. Hilbert, Über die Discriminante der in Endlichen abbrechenden hypergeometrischen Reihe, J. Reine Angew. Math. 103 (1888) 337-345.
-
(1888)
J. Reine Angew. Math.
, vol.103
, pp. 337-345
-
-
Hilbert, D.1
-
12
-
-
0001665534
-
Discriminants and functions of the second kind of orthogonal polynomials
-
M.E.H. Ismail, Discriminants and functions of the second kind of orthogonal polynomials, Res. Math. 34 (1998) 132-149.
-
(1998)
Res. Math.
, vol.34
, pp. 132-149
-
-
Ismail, M.E.H.1
-
13
-
-
0001293017
-
An electrostatics model for zeros of general orthogonal polynomials
-
M.E.H. Ismail, An electrostatics model for zeros of general orthogonal polynomials, Pacific J. Math. 193 (2) (2000) 355-369.
-
(2000)
Pacific J. Math.
, vol.193
, Issue.2
, pp. 355-369
-
-
Ismail, M.E.H.1
-
14
-
-
0035413459
-
q-discriminants and vertex operators
-
M.E.H. Ismail, N. Jing, q-discriminants and vertex operators, Adv. in Appl. Math. 27 (2-3) (2001) 482-492.
-
(2001)
Adv. in Appl. Math.
, vol.27
, Issue.2-3
, pp. 482-492
-
-
Ismail, M.E.H.1
Jing, N.2
-
15
-
-
0030125375
-
Diagonalization of certain integral operators II
-
M.E.H. Ismail, M. Rahman, R. Zhang, Diagonalization of certain integral operators II, J. Comp. Appl. Math. 68 (1-2) (1996) 163-196.
-
(1996)
J. Comp. Appl. Math.
, vol.68
, Issue.1-2
, pp. 163-196
-
-
Ismail, M.E.H.1
Rahman, M.2
Zhang, R.3
-
16
-
-
85031176316
-
Difference equations and discriminants for discrete orthogonal polynomials
-
submitted
-
M.E.H. Ismail, I. Nikolova, P. Simeonov, Difference equations and discriminants for discrete orthogonal polynomials, submitted.
-
-
-
Ismail, M.E.H.1
Nikolova, I.2
Simeonov, P.3
-
17
-
-
0003884388
-
The Askey-scheme of hypergeometric orthogonal polynomials and its q-analogues
-
Reports of the Faculty of Technical Mathematics and Information, No. 94-05, Delft University of Technology, Delft
-
R. Koekoek, R. Swarttouw, The Askey-scheme of hypergeometric orthogonal polynomials and its q-analogues, Reports of the Faculty of Technical Mathematics and Information, No. 94-05, Delft University of Technology, Delft, 1994.
-
(1994)
-
-
Koekoek, R.1
Swarttouw, R.2
-
18
-
-
0003321117
-
The major counting of non-intersecting lattice paths and generating functions for tableaux
-
vi + 109
-
C. Krattenthaler, The major counting of non-intersecting lattice paths and generating functions for tableaux, Mem. Amer. Math. Soc. 115 (552) (1995), vi + 109.
-
(1995)
Mem. Amer. Math. Soc.
, vol.115
, Issue.552
-
-
Krattenthaler, C.1
-
19
-
-
0003674259
-
Classical Orthogonal Polynomials of a Discrete Variable
-
Springer-Verlag, Berlin
-
A. Nikiforof, S. Suslov, V. Uvarov, Classical Orthogonal Polynomials of a Discrete Variable, Springer-Verlag, Berlin, 1991.
-
(1991)
-
-
Nikiforof, A.1
Suslov, S.2
Uvarov, V.3
-
20
-
-
0001778183
-
Affektlose Gleichungen in der Theorie der Laguerreschen und Hermiteschen Polynomes
-
I. Schur, Affektlose Gleichungen in der Theorie der Laguerreschen und Hermiteschen Polynomes, J. Reine Angew. Math. 165 (1931) 52-58.
-
(1931)
J. Reine Angew. Math.
, vol.165
, pp. 52-58
-
-
Schur, I.1
-
21
-
-
0000118959
-
Sur quelques théorèmes d'algèbre
-
(1885)
-
T.J. Stieltjes, Sur quelques théorèmes d'algèbre, C. R. Acad. Sci. Paris 100 (1885) 439-440;
-
C. R. Acad. Sci. Paris
, vol.100
, pp. 439-440
-
-
Stieltjes, T.J.1
-
22
-
-
0038292280
-
-
Springer-Verlag
-
Oeuvres Complètes, Vol. 1, Springer-Verlag, 1993, pp. 440-441.
-
(1993)
Oeuvres Complètes
, vol.1
, pp. 440-441
-
-
-
23
-
-
0001292256
-
Sur les polynômes de Jacobi
-
T. Stieltjes, Sur les polynômes de Jacobi, C. R. Acad. Sci. Paris 100 (1885) 620-622
-
(1885)
C. R. Acad. Sci. Paris
, vol.100
, pp. 620-622
-
-
Stieltjes, T.1
-
24
-
-
0037954723
-
-
Springer-Verlag
-
Oeuvres Complètes, Vol. 1, Springer-Verlag, 1993, pp. 442-444.
-
(1993)
Oeuvres Complètes
, vol.1
, pp. 442-444
-
-
-
25
-
-
0004073954
-
-
4th edition, Amer. Math. Society, Providence, RI
-
G. Szego, Orthogonal Polynomials, 4th edition, Amer. Math. Society, Providence, RI, 1975.
-
(1975)
Orthogonal Polynomials
-
-
Szego, G.1
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