-
2
-
-
0000371136
-
Continuous Hahn polynomials
-
MR 8Td:33021
-
R. Askey, Continuous Hahn polynomials, J. Math. Phys. A: Math. Gen. 18 (1985), L1017-L1019. MR 8Td:33021
-
(1985)
J. Math. Phys. A: Math. Gen.
, vol.18
-
-
Askey, R.1
-
3
-
-
0011337786
-
Beta integrals and associated orthogonal polynomials
-
Number Theory (K. Alladi, ed.), Springer-Verlag, New York, MR 90k:33001
-
_, Beta integrals and associated orthogonal polynomials, Number Theory (K. Alladi, ed.), Lecture Notes in Math., vol. 1395, Springer-Verlag, New York, 1989, pp. 84-121. MR 90k:33001
-
(1989)
Lecture Notes in Math.
, vol.1395
, pp. 84-121
-
-
-
4
-
-
0002420042
-
A set of hypergeometric orthogonal polynomials
-
MR 83h:33010
-
R. Askey and J. Wilson, A set of hypergeometric orthogonal polynomials, SIAM J. Math. Anal. 13 (1982), 651-655. MR 83h:33010
-
(1982)
SIAM J. Math. Anal.
, vol.13
, pp. 651-655
-
-
Askey, R.1
Wilson, J.2
-
5
-
-
0001308382
-
Some basic hypergeometric orthogonal polynomials that generalize Jacobi polynomials
-
Amer. Math. Soc., Providence, RI. MR 87a:05023
-
_, Some basic hypergeometric orthogonal polynomials that generalize Jacobi polynomials, Mem. Amer. Math. Soc.,vol. 54, no. 319 (1985), Amer. Math. Soc., Providence, RI. MR 87a:05023
-
(1985)
Mem. Amer. Math. Soc.
, vol.54
, Issue.319
-
-
-
6
-
-
0001264845
-
The Hahn and Meixner polynomials of imaginary argument and some of their applications
-
MR 87i:33021
-
N.M. Atakishiyev and S.K. Suslov, The Hahn and Meixner polynomials of imaginary argument and some of their applications, J. Math. Phys. A: Math. Gen. 18 (1985), 1583-1596. MR 87i:33021
-
(1985)
J. Math. Phys. A: Math. Gen.
, vol.18
, pp. 1583-1596
-
-
Atakishiyev, N.M.1
Suslov, S.K.2
-
7
-
-
33646074141
-
Continuous Hahn polynomials of differential operator argument and analysis on Riemannian symmetric spaces of constant curvature
-
MR 94k:43011
-
E. Badertscher and T.H. Koornwinder, Continuous Hahn polynomials of differential operator argument and analysis on Riemannian symmetric spaces of constant curvature, Canad. J. Math. 44 (1992), 750-773. MR 94k:43011
-
(1992)
Canad. J. Math.
, vol.44
, pp. 750-773
-
-
Badertscher, E.1
Koornwinder, T.H.2
-
8
-
-
0004209845
-
-
Cambridge Tracts 32, Cambridge University Press, London and New York, 1935; reprinted by Hafner Publishing Company, New York, MR 32:2625
-
W.N. Bailey, Generalized hypergeometric series, Cambridge Tracts 32, Cambridge University Press, London and New York, 1935; reprinted by Hafner Publishing Company, New York, 1972. MR 32:2625
-
(1972)
Generalized Hypergeometric Series
-
-
Bailey, W.N.1
-
9
-
-
33646053940
-
Some properties of a certain set of polynomials
-
H. Bateman, Some properties of a certain set of polynomials, Tôhoku Math. J. 37 (1933), 23-38.
-
(1933)
Tôhoku Math. J.
, vol.37
, pp. 23-38
-
-
Bateman, H.1
-
10
-
-
33646063369
-
n(x)
-
n(x), Ann. of Math. 35 (1934), 767-775.
-
(1934)
Ann. of Math.
, vol.35
, pp. 767-775
-
-
-
11
-
-
33646060194
-
Functions orthogonal in the Hermitean sense. A new application of basic numbers
-
_, Functions orthogonal in the Hermitean sense. A new application of basic numbers, Proc. Nat. Acad. Sci. U.S.A. 20 (1934), 63-66.
-
(1934)
Proc. Nat. Acad. Sci. U.S.A.
, vol.20
, pp. 63-66
-
-
-
12
-
-
33646024108
-
An orthogonal property of the hypergeometric polynomial
-
MR 4:83b
-
_, An orthogonal property of the hypergeometric polynomial, Proc. Nat. Acad. Sci. U.S.A. 28 (1942), 374-377. MR 4:83b
-
(1942)
Proc. Nat. Acad. Sci. U.S.A.
, vol.28
, pp. 374-377
-
-
-
13
-
-
0005496465
-
On Touchard polynomials
-
MR 19:28a
-
F. Brafman, On Touchard polynomials, Canad. J. Math. 9 (1957), 191-193. MR 19:28a
-
(1957)
Canad. J. Math.
, vol.9
, pp. 191-193
-
-
Brafman, F.1
-
14
-
-
0005390531
-
Some polynomials of Touchard connected with the Bernoulli numbers
-
MR 19:27e
-
L. Carlitz, Some polynomials of Touchard connected with the Bernoulli numbers, Canad. J. Math. 9 (1957), 188-190. MR 19:27e
-
(1957)
Canad. J. Math.
, vol.9
, pp. 188-190
-
-
Carlitz, L.1
-
15
-
-
84972518028
-
Bernoulli and Euler numbers and orthogonal polynomials
-
MR 21:2761
-
_, Bernoulli and Euler numbers and orthogonal polynomials, Duke Math. J. 26 (1959), 1-15. MR 21:2761
-
(1959)
Duke Math. J.
, vol.26
, pp. 1-15
-
-
-
16
-
-
0003362637
-
An introduction to orthogonal polynomials
-
Gordon and Breach, New York, MR 58:1979
-
T.S. Chihara, An introduction to orthogonal polynomials, Math. Appl., vol. 13, Gordon and Breach, New York, 1978. MR 58:1979
-
(1978)
Math. Appl.
, vol.13
-
-
Chihara, T.S.1
-
17
-
-
0003438193
-
-
McGraw-Hill, New York, MR 16:468e
-
A. Erdélyi, W. Magnus, F. Oberhettinger and F.G. Tricomi, Tables of integral transforms, Vol. 2, McGraw-Hill, New York, 1954. MR 16:468e
-
(1954)
Tables of Integral Transforms
, vol.2
-
-
Erdélyi, A.1
Magnus, W.2
Oberhettinger, F.3
Tricomi, F.G.4
-
18
-
-
84950525036
-
Notes on special systems of orthogonal functions (III): A system of orthogonal polynomials
-
G.H. Hardy, Notes on special systems of orthogonal functions (III): a system of orthogonal polynomials, Proc. Cambridge Philos. Soc. 36 (1940), 1-8;
-
(1940)
Proc. Cambridge Philos. Soc.
, vol.36
, pp. 1-8
-
-
Hardy, G.H.1
-
19
-
-
33646057112
-
-
Oxford University Press, London and New York, MR 1:141c
-
reprinted in Collected Papers, vol. IV (1969), Oxford University Press, London and New York, pp. 552-559. MR 1:141c
-
(1969)
Collected Papers
, vol.4
, pp. 552-559
-
-
-
20
-
-
0042474606
-
Q-Series and orthogonal polynomials associated with Barnes' first lemma
-
MR 89m:33018
-
E.G. Kalnins and W. Miller, q-Series and orthogonal polynomials associated with Barnes' first lemma, SIAM J. Math. Anal. 19 (1988), 1216-1231. MR 89m:33018
-
(1988)
SIAM J. Math. Anal.
, vol.19
, pp. 1216-1231
-
-
Kalnins, E.G.1
Miller, W.2
-
22
-
-
33646055895
-
Identities for q-ultraspherical polynomials and Jacobi functions
-
H.T. Koelink, Identities for q-ultraspherical polynomials and Jacobi functions, Proc. Amer. Math. Soc. 123 (1995), 2479-2487.
-
(1995)
Proc. Amer. Math. Soc.
, vol.123
, pp. 2479-2487
-
-
Koelink, H.T.1
-
23
-
-
0002746483
-
-
Polynômes Orthogonaux et Applications (C. Brezinski, A. Draux, A.P. Magnus, P. Maroni and A. Ronveaux, eds.), Lecture Notes in Math., SpringerVerlag, MR 87g:33007
-
T.H. Koornwinder, Special orthogonal polynomial systems mapped onto each other by the Fourier-Jacobi transfom, Polynômes Orthogonaux et Applications (C. Brezinski, A. Draux, A.P. Magnus, P. Maroni and A. Ronveaux, eds.), Lecture Notes in Math., vol. 1171, SpringerVerlag, 1985, pp. 174-183. MR 87g:33007
-
(1985)
Special Orthogonal Polynomial Systems Mapped onto Each Other by the Fourier-Jacobi Transfom
, vol.1171
, pp. 174-183
-
-
Koornwinder, T.H.1
-
24
-
-
0003176060
-
Group theoretic interpretations of Askey's scheme of hypergeometric orthogonal polynomials
-
Orthogonal Polynomials and their Applications (M. Alfaro, J.S. Dehesa, F.J. Marcellan, J.L. Rubio de Francia and J. Vinuesa, eds.), Springer-Verlag, MR 90b:33024
-
_, Group theoretic interpretations of Askey's scheme of hypergeometric orthogonal polynomials, Orthogonal Polynomials and their Applications (M. Alfaro, J.S. Dehesa, F.J. Marcellan, J.L. Rubio de Francia and J. Vinuesa, eds.), Lecture Notes in Math., vol. 1329, Springer-Verlag, 1988, pp. 46-72. MR 90b:33024
-
(1988)
Lecture Notes in Math.
, vol.1329
, pp. 46-72
-
-
-
25
-
-
0001684504
-
Meixner-Pollaczek polynomials and the Heisenberg algebra
-
MR 90e:33037
-
_, Meixner-Pollaczek polynomials and the Heisenberg algebra, J. Math. Phys. 30 (1989), 767-769. MR 90e:33037
-
(1989)
J. Math. Phys.
, vol.30
, pp. 767-769
-
-
-
26
-
-
0003674259
-
Classical orthogonal polynomials of a discrete variable
-
Springer-Verlag, New York and Berlin, MR 92m:33019
-
A.F. Nikiforov, S.K. Suslov and V.B. Uvarov, Classical orthogonal polynomials of a discrete variable, Springer Ser. Comput. Phys., Springer-Verlag, New York and Berlin, 1991. MR 92m:33019
-
(1991)
Springer Ser. Comput. Phys.
-
-
Nikiforov, A.F.1
Suslov, S.K.2
Uvarov, V.B.3
-
27
-
-
0141703466
-
n(x)
-
MR 1:116a
-
n(x), London, Edinburgh, Dublin Philosophical Magazine and J. Science, Ser. 7 28 (1939), 209-226. MR 1:116a
-
(1939)
London, Edinburgh, Dublin Philosophical Magazine and J. Science, Ser.
, vol.728
, pp. 209-226
-
-
Pasternack, S.1
-
28
-
-
21344481720
-
The Pearson integral and the beta integrals
-
MR 95f:33001
-
M. Rahman and S.K. Suslov, The Pearson integral and the beta integrals, SIAM J. Math. Anal. 25 (1994), 646-693. MR 95f:33001
-
(1994)
SIAM J. Math. Anal.
, vol.25
, pp. 646-693
-
-
Rahman, M.1
Suslov, S.K.2
-
29
-
-
84972498594
-
2(-n, n + 1, ς;1,p;v)
-
MR 1:234b
-
2(-n, n + 1, ς;1,p;v), Duke Math. J. 6 (1940), 108-119. MR 1:234b
-
(1940)
Duke Math. J.
, vol.6
, pp. 108-119
-
-
Rice, S.O.1
-
30
-
-
0005424063
-
Sur quelques intégrales définies et leur développement en fractions continues
-
T.J. Stieltjes, Sur quelques intégrales définies et leur développement en fractions continues, Quart. J. Math., London 24 (1890), 370-382;
-
(1890)
Quart. J. Math., London
, vol.24
, pp. 370-382
-
-
Stieltjes, T.J.1
-
31
-
-
0141597562
-
-
(G. van Dijk, ed.), Springer-Verlag, New York, MR 95g:01033
-
reprinted in Œuvres Complètes-Collected Papers, vol. II (G. van Dijk, ed.), Springer-Verlag, New York, 1993, pp. 382-395. MR 95g:01033
-
(1993)
ŒUvres Complètes-Collected Papers
, vol.2
, pp. 382-395
-
-
-
32
-
-
0002593008
-
Recherches sur les fractions continues
-
J.1-122, 9 (1895), A.1-47
-
_, Recherches sur les fractions continues, Annales de la Faculté des Sciences de Toulouse 8 (1894), J.1-122, 9 (1895), A.1-47;
-
(1894)
Annales de la Faculté des Sciences de Toulouse
, vol.8
-
-
-
33
-
-
0141485931
-
-
(G. van Dijk, ed.), Springer-Verlag, New York, MR 95g:01033
-
reprinted in Œvres Complètes-Collected Papers, vol. II (G. van Dijk, ed.), Springer-Verlag, New York, 1993, pp. 406-570. MR 95g:01033
-
(1993)
ŒVres Complètes-Collected Papers
, vol.2
, pp. 406-570
-
-
-
34
-
-
0003217929
-
Orthogonal polynomials
-
Amer. Math. Soc., Providence, RI, MR 51:8724
-
G. Szegö, Orthogonal polynomials, Colloq. Publ., vol. 23, 4th ed., Amer. Math. Soc., Providence, RI, 1975. MR 51:8724
-
(1975)
Colloq. Publ., Vol. 23, 4th Ed.
, vol.23
-
-
Szegö, G.1
-
36
-
-
0005424064
-
Nombres exponentiels et nombres de Bernoulli
-
MR 18:16f
-
J. Touchard, Nombres exponentiels et nombres de Bernoulli, Canad. J. Math. 8 (1956), 305-320. MR 18:16f
-
(1956)
Canad. J. Math.
, vol.8
, pp. 305-320
-
-
Touchard, J.1
-
38
-
-
0001082444
-
Some hypergeometric orthogonal polynomials
-
MR 82a:33014
-
J.A. Wilson, Some hypergeometric orthogonal polynomials, SIAM J. Math. Anal. 11 (1980), 690-701. MR 82a:33014
-
(1980)
SIAM J. Math. Anal.
, vol.11
, pp. 690-701
-
-
Wilson, J.A.1
-
39
-
-
0005496468
-
On some polynomials of Touchard
-
MR 18:17a
-
M. Wyman and L. Moser, On some polynomials of Touchard, Canad. J. Math. 8 (1956), 321-322. MR 18:17a
-
(1956)
Canad. J. Math.
, vol.8
, pp. 321-322
-
-
Wyman, M.1
Moser, L.2
|