-
1
-
-
16244386922
-
A q-sampling theorem related to the q-Hankel transform
-
L. D. ABREU (2005): A q-sampling theorem related to the q-Hankel transform. Proc. Amer. Math. Soc., 133:1197-1203.
-
(2005)
Proc. Amer. Math. Soc
, vol.133
, pp. 1197-1203
-
-
ABREU, L.D.1
-
3
-
-
0001308382
-
Some basic hypergeometric orthogonal polynomials that generalize Jacobi polynomials
-
R. ASKEY, J. WILSON (1985) : Some basic hypergeometric orthogonal polynomials that generalize Jacobi polynomials. Mem. Amer. Math. Soc., 54(319).
-
(1985)
Mem. Amer. Math. Soc
, vol.54
, Issue.319
-
-
ASKEY, R.1
WILSON, J.2
-
5
-
-
0002835750
-
Basic analog of Fourier series on a q-quadratic grid
-
J. BUSTOZ, S. K. SUSLOV (1998); Basic analog of Fourier series on a q-quadratic grid. Meth. Appl. Anal., 5(1):1-38.
-
(1998)
Meth. Appl. Anal
, vol.5
, Issue.1
, pp. 1-38
-
-
BUSTOZ, J.1
SUSLOV, S.K.2
-
8
-
-
0034268765
-
Orthogonal sampling formulas: A unified approach
-
A. G. GARCIA (2000); Orthogonal sampling formulas: A unified approach. SIAM Rev., 42(3):499-512.
-
(2000)
SIAM Rev
, vol.42
, Issue.3
, pp. 499-512
-
-
GARCIA, A.G.1
-
9
-
-
0004216016
-
Basic Hypergeometric
-
Cambridge: Cambridge University Press
-
G. GASPER, M. RAHMAN (1990): Basic Hypergeometric Series. Cambridge: Cambridge University Press.
-
(1990)
Series
-
-
GASPER, G.1
RAHMAN, M.2
-
10
-
-
36949022274
-
-
W. K. HAYMAN (2005): On the zeros of a q-Bessel function. In: Complex Analysis and Dynamical Systems, II, pp. 205-216. Contemp. Math., 382. Providence, RI: Amer. Math. Soc.
-
W. K. HAYMAN (2005): On the zeros of a q-Bessel function. In: Complex Analysis and Dynamical Systems, Vol. II, pp. 205-216. Contemp. Math., Vol. 382. Providence, RI: Amer. Math. Soc.
-
-
-
-
11
-
-
0039609461
-
Notes on special systems of orthogonal functions. IV. The orthogonal functions of Whittaker's cardinal series
-
G. H. HARDY (1941): Notes on special systems of orthogonal functions. IV. The orthogonal functions of Whittaker's cardinal series. Proc. Cambridge Philos. Soc., 37:331-348.
-
(1941)
Proc. Cambridge Philos. Soc
, vol.37
, pp. 331-348
-
-
HARDY, G.H.1
-
12
-
-
36949001787
-
-
J. R. HIGGINS (2001): A. sampling principle associated with Saitoh's fundamental theory of linear transformations. In: Analytic Extension Formulas and Their Applications (Fukuoka, 1999/Kyoto, 2000), pp. 73-86. Int. Soc. Anal. Appl. Comput., 9. Dordrecht: Kluwer Academic.
-
J. R. HIGGINS (2001): A. sampling principle associated with Saitoh's fundamental theory of linear transformations. In: Analytic Extension Formulas and Their Applications (Fukuoka, 1999/Kyoto, 2000), pp. 73-86. Int. Soc. Anal. Appl. Comput., Vol. 9. Dordrecht: Kluwer Academic.
-
-
-
-
13
-
-
30344465338
-
Integral transforms and sampling theorems
-
J. R. HIGGINS (2006): Integral transforms and sampling theorems. Integral Transforms Spec. Funct., 17(1);45-52.
-
(2006)
Integral Transforms Spec. Funct
, vol.17
, Issue.1
, pp. 45-52
-
-
HIGGINS, J.R.1
-
14
-
-
49049138301
-
v+ax(x), and associated orthogonal polynomials
-
v+ax(x), and associated orthogonal polynomials. J. Math. Anal. Appl., 86:1-19.
-
(1982)
J. Math. Anal. Appl
, vol.86
, pp. 1-19
-
-
ISMAIL, M.E.H.1
-
15
-
-
23044528726
-
Orthogonality and completeness of q-Fourier-type systems
-
M. E. H. ISMAIL (2001): Orthogonality and completeness of q-Fourier-type systems. Z. Anal. Anwendungen, 20(3);761-775
-
(2001)
Z. Anal. Anwendungen
, vol.20
, Issue.3
, pp. 761-775
-
-
ISMAIL, M.E.H.1
-
16
-
-
14844360905
-
-
M. E. H. ISMAIL (2005): Problem 5. Orthogonality and completeness. In: Open Problems. J. Comput. Appl. Math., 178(1-2).
-
M. E. H. ISMAIL (2005): Problem 5. Orthogonality and completeness. In: Open Problems. J. Comput. Appl. Math., 178(1-2).
-
-
-
-
17
-
-
0030125375
-
Diagonalization of certain integral operators. II
-
M. E. H. ISMAIL, M. RAHMAN, R. ZHANG (1996): Diagonalization of certain integral operators. II. J. Comput. Appl. Math., 68(1-2): 163-196.
-
(1996)
J. Comput. Appl. Math
, vol.68
, Issue.1-2
, pp. 163-196
-
-
ISMAIL, M.E.H.1
RAHMAN, M.2
ZHANG, R.3
-
18
-
-
36949033169
-
-
M. E. H. ISMAIL, D. W. STANTON (2000): Addition theorems for the q-exponential function. In: q-Series from a Contemporary Perspective (South Hadley, MA, 1998), pp. 235-245. Contemp. Math., 254. Providence, RI: Amer. Math. Soc.
-
M. E. H. ISMAIL, D. W. STANTON (2000): Addition theorems for the q-exponential function. In: q-Series from a Contemporary Perspective (South Hadley, MA, 1998), pp. 235-245. Contemp. Math., Vol. 254. Providence, RI: Amer. Math. Soc.
-
-
-
-
19
-
-
0344497386
-
A q-analogue of the Whittaker-Shannon-Kotelńikov sampling theorem
-
M. E. H. ISMAIL, A. I. ZAYED (2003): A q-analogue of the Whittaker-Shannon-Kotelńikov sampling theorem. Proc. Amer. Math. Soc., 131(12):3711-3719
-
(2003)
Proc. Amer. Math. Soc
, vol.131
, Issue.12
, pp. 3711-3719
-
-
ISMAIL, M.E.H.1
ZAYED, A.I.2
-
20
-
-
0001865725
-
Diagonalization of certain integral operators
-
M. E. H. ISMAIL, R. ZHANG (1994): Diagonalization of certain integral operators. Adv. Math., 109(1):1-33.
-
(1994)
Adv. Math
, vol.109
, Issue.1
, pp. 1-33
-
-
ISMAIL, M.E.H.1
ZHANG, R.2
-
21
-
-
33644949358
-
Classical and Quantum Orthogonal Polynomials in One Variable
-
Cambridge: Cambridge University Press
-
M. E. H. ISMAIL (2005): Classical and Quantum Orthogonal Polynomials in One Variable. In: Encyclopedia of Mathematics and its Applications. Cambridge: Cambridge University Press.
-
(2005)
Encyclopedia of Mathematics and its Applications
-
-
ISMAIL, M.E.H.1
-
23
-
-
1042291507
-
One-parameter orthogonality relations for basic hypergeometric series
-
E. KOELINK (2003): One-parameter orthogonality relations for basic hypergeometric series. Indag. Math. (N.S.), 14(3-4):423-443.
-
(2003)
Indag. Math. (N.S.)
, vol.14
, Issue.3-4
, pp. 423-443
-
-
KOELINK, E.1
-
24
-
-
0025842349
-
General sampling theorems for functions in reproducing kernel Hilbert spaces
-
M. Z NASHED, G. G. WALTER (1991): General sampling theorems for functions in reproducing kernel Hilbert spaces. Math. Control Signals Systems, 4(4):363-390.
-
(1991)
Math. Control Signals Systems
, vol.4
, Issue.4
, pp. 363-390
-
-
NASHED, M.Z.1
WALTER, G.G.2
-
27
-
-
0010682850
-
One approach to some general integral transforms and its applications
-
S. SAITOH (1995): One approach to some general integral transforms and its applications. Integral Transforms Spec. Funct., 3(1):49-84.
-
(1995)
Integral Transforms Spec. Funct
, vol.3
, Issue.1
, pp. 49-84
-
-
SAITOH, S.1
-
28
-
-
0038706201
-
Asymptotics of zeros of basic sine and cosine functions
-
S. K. SUSLOV (2003): Asymptotics of zeros of basic sine and cosine functions. J. Approx. Theory, 121(2):292-335.
-
(2003)
J. Approx. Theory
, vol.121
, Issue.2
, pp. 292-335
-
-
SUSLOV, S.K.1
-
29
-
-
14844351225
-
An Introduction to Basic Fourier Series. With a foreword by Mizan Rahman
-
Dordrecht: Kluwer Academic
-
S. K. SUSLOV (2003): An Introduction to Basic Fourier Series. With a foreword by Mizan Rahman. Developments in Mathematics, Vol. 9. Dordrecht: Kluwer Academic.
-
(2003)
Developments in Mathematics
, vol.9
-
-
SUSLOV, S.K.1
|