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Littlejohn, Lance L.

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Author ID: littlejohn.lance-l Recent zbMATH articles by "Littlejohn, Lance L."
Published as: Littlejohn, L. L.; Littlejohn, Lance L.; Littlejohn, Lance; Littlejohn, L.
Documents Indexed: 109 Publications since 1982
Biographic References: 1 Publication
Co-Authors: 63 Co-Authors with 100 Joint Publications
1,178 Co-Co-Authors
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Serials

14 Journal of Computational and Applied Mathematics
9 Journal of Mathematical Analysis and Applications
5 Quaestiones Mathematicae
3 Rocky Mountain Journal of Mathematics
3 Annali di Matematica Pura ed Applicata. Serie Quarta
3 Journal of Approximation Theory
3 Journal of Differential Equations
3 SIAM Journal on Mathematical Analysis
2 American Mathematical Monthly
2 Applicable Analysis
2 Canadian Mathematical Bulletin
2 Journal of the Korean Mathematical Society
2 Proceedings of the American Mathematical Society
2 Results in Mathematics
2 Transactions of the American Mathematical Society
2 Rendiconti di Matematica e delle sue Applicazioni. Serie VII
2 Differential and Integral Equations
2 Linear Algebra and its Applications
2 Electronic Journal of Differential Equations (EJDE)
2 Integral Transforms and Special Functions
2 Complex Analysis and Operator Theory
1 Discrete Mathematics
1 IMA Journal of Applied Mathematics
1 The Fibonacci Quarterly
1 Integral Equations and Operator Theory
1 Journal of Combinatorial Theory. Series A
1 Mathematische Nachrichten
1 Proceedings of the London Mathematical Society. Third Series
1 Studies in Applied Mathematics
1 Journal of Operator Theory
1 European Journal of Combinatorics
1 Bulletin of the Korean Mathematical Society
1 Acta Mathematica Hungarica
1 Acta Applicandae Mathematicae
1 Constructive Approximation
1 Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences
1 Indagationes Mathematicae. New Series
1 St. Petersburg Mathematical Journal
1 ETNA. Electronic Transactions on Numerical Analysis
1 Annals of Numerical Mathematics
1 Journal of Inequalities and Applications
1 Mathematical Inequalities & Applications
1 Journal of Computational Analysis and Applications
1 Operators and Matrices
1 Advances in Operator Theory

Publications by Year

Citations contained in zbMATH Open

99 Publications have been cited 1,025 times in 442 Documents Cited by Year
The Krall polynomials: A new class of orthogonal polynomials. Zbl 0514.33008
Littlejohn, Lance L.
49
1982
Jacobi-Stirling numbers, Jacobi polynomials, and the left-definite analysis of the classical Jacobi differential expression. Zbl 1119.33009
Everitt, W. N.; Kwon, K. H.; Littlejohn, L. L.; Wellman, R.; Yoon, G. J.
43
2007
On the classification of differential equations having orthogonal polynomial solutions. Zbl 0571.34003
Littlejohn, Lance L.
38
1984
Sobolev orthogonal polynomials and second-order differential equations. Zbl 0930.33004
Kwon, K. H.; Littlejohn, L. L.
38
1998
On recurrence relations for Sobolev orthogonal polynomials. Zbl 0824.33006
Evans, W. D.; Littlejohn, Lance L.; Marcellan, Francisco; Markett, Clemens; Ronveaux, Andre
35
1995
The orthogonality of the Laguerre polynomials \(\{ L_ n^{-k}(x)\}\) for positive integers \(k\). Zbl 0831.33003
Kwon, K. H.; Littlejohn, L. L.
32
1995
An application of a new theorem on orthogonal polynomials and differential equations. Zbl 0605.33010
Littlejohn, Lance L.
32
1986
Orthogonal polynomial solutions of linear ordinary differential equations. Zbl 0993.33004
Everitt, W. N.; Kwon, K. H.; Littlejohn, L. L.; Wellman, R.
29
2001
The Legendre-Stirling numbers. Zbl 1237.05010
Andrews, G. E.; Gawronski, W.; Littlejohn, L. L.
29
2011
A combinatorial interpretation of the Legendre-Stirling numbers. Zbl 1167.05002
Andrews, George E.; Littlejohn, Lance L.
28
2009
A general left-definite theory for certain self-adjoint operators with applications to differential equations. Zbl 1008.47029
Littlejohn, L. L.; Wellman, R.
27
2002
Legendre polynomials, Legendre–Stirling numbers, and the left-definite spectral analysis of the Legendre differential expression. Zbl 1014.33003
Everitt, W. N.; Littlejohn, L. L.; Wellman, R.
26
2002
The Jacobi-Stirling numbers. Zbl 1261.11022
Andrews, George E.; Egge, Eric S.; Gawronski, Wolfgang; Littlejohn, Lance L.
25
2013
On the classification of differential equations having orthogonal polynomial solutions. II. Zbl 0643.34002
Krall, A. M.; Littlejohn, L. L.
23
1987
Orthogonal polynomials and spectral theory: A survey. Zbl 0837.33002
Everitt, W. N.; Littlejohn, L. L.
19
1991
Classification of classical orthogonal polynomials. Zbl 0898.33002
Kwon, Kil H.; Littlejohn, Lance L.
19
1997
An integral operator inequality with applications. Zbl 0936.47029
Chisholm, R. S.; Everitt, W. N.; Littlejohn, L. L.
17
1999
Characterizations of orthogonal polynomials satisfying differential equations. Zbl 0803.33010
Kwon, K. H.; Littlejohn, L. L.; Yoo, B. H.
16
1994
Orthogonal polynomials and singular Sturm-Liouville systems. I. Zbl 0614.33013
Littlejohn, Lance L.; Krall, Allan M.
16
1986
The Sobolev orthogonality and spectral analysis of the Laguerre polynomials \(\{L_{n}^{-k}\}\) for positive integers \(k\). Zbl 1063.33009
Everitt, W. N.; Littlejohn, L. L.; Wellman, R.
15
2004
The density of polynomials in a weighted Sobolev space. Zbl 0765.41008
Everitt, W. N.; Littlejohn, L. L.
14
1990
Orthogonal polynomials and higher order singular Sturm-Liouville systems. Zbl 0686.33014
Littlejohn, Lance L.; Krall, Allan M.
14
1989
On some properties of the Legendre type differential expression. Zbl 0705.33007
Everitt, W. N.; Krall, A. M.; Littlejohn, L. L.
14
1990
Orthogonal polynomials in weighted Sobolev spaces. Zbl 0676.33005
Everitt, W. N.; Littlejohn, L. L.; Williams, S. C.
14
1989
Distributional solutions of the hypergeometric differential equation. Zbl 0629.34006
Littlejohn, L. L.; Kanwal, R. P.
13
1987
Factorizations and Hardy-Rellich-type inequalities. Zbl 1402.35014
Gesztesy, Fritz; Littlejohn, Lance
13
2018
Orthogonal polynomials and approximation in Sobolev spaces. Zbl 0796.42020
Everitt, W. N.; Littlejohn, L. L.; Williams, S. C.
12
1993
On Birman’s sequence of Hardy-Rellich-type inequalities. Zbl 1384.26043
Gesztesy, Fritz; Littlejohn, Lance L.; Michael, Isaac; Wellman, Richard
12
2018
Differential operators and the Legendre type polynomials. Zbl 0727.34021
Everitt, W. N.; Littlejohn, L. L.
12
1988
Orthogonal polynomial solutions of spectral type differential equations: Magnus’ conjecture. Zbl 0994.33003
Kwon, K. H.; Littlejohn, L. L.; Yoon, G. J.
12
2001
The left-definite spectral theory for the classical Hermite differential equation. Zbl 1091.47506
Everitt, W. N.; Littlejohn, L. L.; Wellman, R.
11
2000
On analytic sampling theory. Zbl 1057.44003
García, A. G.; Littlejohn, L. L.
11
2004
Symmetric and symmetrisable differential expressions. Zbl 0655.33007
Littlejohn, Lance L.; Race, David
11
1990
Nonclassical orthogonal polynomials as solutions to second order differential equations. Zbl 0445.33016
Littlejohn, Lance L.; Shore, Samuel D.
10
1982
Asymptotics of Stirling and Chebyshev-Stirling numbers of the second kind. Zbl 1331.11018
Gawronski, Wolfgang; Littlejohn, Lance L.; Neuschel, Thorsten
10
2014
Orthogonal polynomial eigenfunctions of second-order partial differential equations. Zbl 0972.33007
Kwon, K. H.; Lee, J. K.; Littlejohn, L. L.
9
2001
New characterizations of classical orthogonal polynomials. Zbl 0861.33006
Kwon, K. H.; Littlejohn, L. L.; Yoo, B. H.
9
1996
Differential equations having orthogonal polynomial solutions. Zbl 0883.33004
Kwon, K. H.; Lee, D. W.; Littlejohn, L. L.
9
1997
Orthogonal polynomial solutions to ordinary and partial differential equations. Zbl 0653.42022
Littlejohn, L. L.
9
1988
Symmetry factors for differential equations. Zbl 0548.34008
Littlejohn, Lance L.
9
1983
On self-adjoint boundary conditions for singular Sturm-Liouville operators bounded from below. Zbl 1458.34143
Gesztesy, Fritz; Littlejohn, Lance L.; Nichols, Roger
9
2020
Radial and logarithmic refinements of Hardy’s inequality. Zbl 1414.35010
Gesztesy, F.; Littlejohn, L. L.; Michael, I.; Pang, M. M. H.
8
2019
Properties of the solutions of the fourth-order Bessel-type differential equation. Zbl 1204.34121
Everitt, W. N.; Markett, C.; Littlejohn, L. L.
8
2009
Construction of differential operators having Bochner-Krall orthogonal polynomials as eigenfunctions. Zbl 1121.34016
Kwon, K. H.; Littlejohn, L. L.; Yoon, G. J.
8
2006
The symmetric form of the Koekoeks’ Laguerre type differential equation. Zbl 0827.33004
Everitt, W. N.; Littlejohn, L. L.; Wellman, R.
7
1995
Sobolev orthogonal polynomials and spectral differential equations. Zbl 0846.33008
Jung, I. H.; Kwon, K. H.; Lee, D. W.; Littlejohn, L. L.
7
1995
The fourth-order Bessel-type differential equation. Zbl 1053.34013
Das, Jyoti; Everitt, W. N.; Hinton, D. B.; Littlejohn, L. L.; Markett, C.
7
2004
The spectral analysis of three families of exceptional Laguerre polynomials. Zbl 1333.33018
Liaw, Constanze; Littlejohn, Lance L.; Milson, Robert; Stewart, Jessica
7
2016
Ghost matrices and a characterization of symmetric Sobolev bilinear forms. Zbl 1214.15016
Kwon, K. H.; Littlejohn, Lance L.; Yoon, G. J.
7
2009
Differential operators and Laguerre type polynomials. Zbl 0772.33004
Everitt, W. N.; Krall, A. M.; Littlejohn, L. L.; Onyango-Otieno
7
1992
The Legendre polynomials under a left definite energy norm. Zbl 0798.34031
Krall, Allan M.; Littlejohn, Lance L.
6
1993
Bochner-Krall orthogonal polynomials. Zbl 1097.42504
Kwon, K. H.; Yoon, G. J.; Littlejohn, L. L.
6
2000
On properties of the Legendre differential expression. Zbl 1058.33008
Everitt, W. N.; Littlejohn, L. L.; Marić, V.
6
2002
On the asymptotic normality of the Legendre-Stirling numbers of the second kind. Zbl 1360.11048
Gawronski, Wolfgang; Littlejohn, Lance L.; Neuschel, Thorsten
6
2015
The Krall polynomials as solutions to a second order differential equation. Zbl 0525.33007
Littlejohn, Lance L.
6
1983
Sobolev orthogonal polynomials in two variables and second order partial differential equations. Zbl 1105.33012
Lee, Jeong Keun; Littlejohn, L. L.
6
2006
The Laguerre type operator in a left definite Hilbert space. Zbl 0837.34082
Krall, Allan M.; Everitt, W. N.; Littlejohn, L. L.; Onyango-Otieno, V. P.
5
1995
Sobolev orthogonal polynomials and second order differential equation. II. Zbl 0910.33003
Kwon, K. H.; Lee, D. W.; Littlejohn, L. L.
5
1996
On the spectral analysis of the Laguerre polynomials \(\{L_ n^{-k}(x)\}\) for positive integers \(k\). Zbl 0885.34065
Everitt, W. N.; Kwon, K. H.; Littlejohn, L. L.; Wellman, R.
5
1997
Distributional solutions of ordinary differential equations. Zbl 0628.34031
Krall, Allan M.; Kanwal, R. P.; Littlejohn, L. L.
5
1987
On the right-definite and left-definite spectral theory of the Legendre polynomials. Zbl 1041.33007
Arvesú, J.; Littlejohn, L. L.; Marcellán, F.
5
2002
Fourth-order Bessel equation: eigenpackets and a generalized Hankel transform. Zbl 1200.33009
Everitt, W. N.; Kalf, H.; Littlejohn, L. L.; Markett, C.
5
2006
Additional spectral properties of the fourth-order Bessel-type differential equation. Zbl 1099.33003
Everitt, W. N.; Kalf, H.; Littlejohn, L. L.; Markett, C.
5
2005
On the spectra of left-definite operators. Zbl 1310.47034
Littlejohn, Lance L.; Wellman, Richard
5
2013
A spectral study of the second-order exceptional \(X_1\)-Jacobi differential expression and a related non-classical Jacobi differential expression. Zbl 1303.33012
Liaw, Constanze; Littlejohn, Lance L.; Stewart, Jessica; Wicks, Quinn
5
2015
Properties of the operator domains of the fourth-order Legendre-type differential expressions. Zbl 0803.34014
Everitt, W. N.; Littlejohn, L. L.; Loveland, S. M.
4
1994
Some properties of the sixth-order Legendre-type differential expression. Zbl 0805.34025
Everitt, W. N.; Littlejohn, L. L.; Loveland, S. M.
4
1993
Differential operator for discrete Gegenbauer-Sobolev orthogonal polynomials: eigenvalues and asymptotics. Zbl 1404.33011
Littlejohn, Lance L.; Mañas-Mañas, Juan F.; Moreno-Balcázar, Juan J.; Wellman, Richard
4
2018
Left-definite theory with applications to orthogonal polynomials. Zbl 1237.47025
Bruder, Andrea; Littlejohn, Lance L.; Tuncer, Davut; Wellman, R.
4
2010
Differential equations and Sobolev orthogonality. Zbl 0847.33007
Jung, I. H.; Kwon, K. H.; Lee, D. W.; Littlejohn, L. L.
4
1995
Orthogonal polynomials satisfying partial differential equations belonging to the basic class. Zbl 1064.33011
Lie, J. K.; Littlejohn, L. L.; Yoo, B. H.
4
2004
Sturm-Liouville operators and orthogonal polynomials. Zbl 0629.34027
Krall, A. M.; Littlejohn, L. L.
4
1987
Glazman-Krein-Naimark theory, left-definite theory and the square of the Legendre polynomials differential operator. Zbl 1353.47084
Littlejohn, Lance L.; Wicks, Quinn
4
2016
Spectral analysis for the exceptional \(X_m\)-Jacobi equation. Zbl 1320.33017
Liaw, Constanze; Littlejohn, Lance; Kelly Stewart, Jessica
4
2015
The Legendre equation and its self-adjoint operators. Zbl 1417.34206
Littlejohn, Lance L.; Zettl, Anton
4
2011
Symmetry factors for differential equations with applications to orthogonal polynomials. Zbl 0733.33005
Littlejohn, L. L.
4
1990
Real orthogonalizing weights for Bessel polynomials. Zbl 0792.33009
Evans, W. D.; Everitt, W. N.; Kwon, K. H.; Littlejohn, L. L.
3
1993
Orthogonal polynomials and extensions of Copson’s inequality. Zbl 0814.26009
Brown, B. M.; Evans, W. D.; Littlejohn, L. L.
3
1993
On generalized Riesz points. Zbl 1019.47004
Harte, Robin; Lee, Woo Young; Littlejohn, Lance L.
3
2002
The left-definite Legendre type boundary problem. Zbl 0735.34026
Everitt, W. N.; Littlejohn, L. L.; Williams, S. C.
3
1991
Diagonalizability and symmetrizability of Sobolev-type bilinear forms: a combinatorial approach. Zbl 1300.05321
Kim, H. K.; Kwon, K. H.; Littlejohn, L. L.; Yoon, G. J.
3
2014
H. J. S. Smith and the Fermat two squares theorem. Zbl 1029.01006
Clarke, F. W.; Everitt, W. N.; Littlejohn, L. L.; Vorster, S. J. R.
2
1999
A catalogue of HELP and HELP-type integral and series inequalities. Zbl 0898.26005
Benammar, M.; Bennewitz, C.; Beynon, M. J.; Brown, B. M.; Dias, N. G. J.; Evans, W. D.; Everitt, W. N.; Kirby, V. G.; Littlejohn, L. L.
2
1998
Discrete inequalities, orthogonal polynomials and the spectral theory of difference operators. Zbl 0761.39007
Brown, B. M.; Evans, W. D.; Littlejohn, L. L.
2
1992
Nonclassical Jacobi polynomials and Sobolev orthogonality. Zbl 1259.33015
Bruder, Andrea; Littlejohn, L. L.
2
2012
Left-definite variations of the classical Fourier expansion theorem. Zbl 1181.47050
Littlejohn, L. L.; Zettl, A.
2
2007
A singular sixth order differential equation with orthogonal polynomial eigenfunctions. Zbl 0506.34021
Littlejohn, Lance L.; Krall, Allan M.
2
1982
Self-adjoint operators generated from non-Lagrangian symmetric differential equations having orthogonal polynomial eigenfunctions. Zbl 1016.33009
Everitt, W. N.; Kwon, K. H.; Lee, J. K.; Littlejohn, L. L.; Williams, S. C.
2
2001
Self-adjoint operators and the general GKN-EM theorem. Zbl 1426.47003
Littlejohn, Lance L.; Wellman, Richard
2
2019
Characterization of classical type orthogonal polynomials. Zbl 0803.33011
Kwon, K. H.; Littlejohn, L. L.; Lee, J. K.; Yoo, B. H.
1
1994
A solution to the general Bessel moment problem. Zbl 0858.33004
Evans, W. D.; Everitt, W. N.; Krall, A. M.; Kwon, K. H.; Littlejohn, L. L.
1
1992
On the completeness of orthogonal polynomials in left-definite Sobolev spaces. Zbl 0856.33007
Everitt, W. N.; Littlejohn, L. L.; Wellman, R.
1
1993
Variation of parameters and solutions of composite products of linear differential equations. Zbl 1197.34008
Littlejohn, Lance L.; López, José L.
1
2010
The Legendre type operator in a left definite Hilbert space. Zbl 0766.34057
Krall, Allan M.; Everitt, W. N.; Littlejohn, L. L.
1
1992
Quasi-separation of the biharmonic partial differential equation. Zbl 1185.35065
Everitt, W. N.; Johansson, B. T.; Littlejohn, L. L.; Markett, C.
1
2009
A construction of real weight functions for certain orthogonal polynomials in two variables. Zbl 1096.35029
Lee, J. K.; Littlejohn, L. L.
1
2006
Foreword: Franciszek Hugon Szafraniec: a scholar of eminence. Zbl 1273.01040
Cichoń, Dariusz; Littlejohn, Lance; Stochel, Jan
1
2012
Classical and Sobolev orthogonality of the nonclassical Jacobi polynomials with parameters \(\alpha =\beta =-1\). Zbl 1296.33018
Bruder, Andrea; Littlejohn, Lance L.
1
2014
On weighted Hardy-type inequalities. Zbl 1444.26017
Chuah, Chian Yeong; Gesztesy, Fritz; Littlejohn, Lance L.; Mei, Tao; Michael, Isaac; Pang, Michael M. H.
1
2020
On self-adjoint boundary conditions for singular Sturm-Liouville operators bounded from below. Zbl 1458.34143
Gesztesy, Fritz; Littlejohn, Lance L.; Nichols, Roger
9
2020
On weighted Hardy-type inequalities. Zbl 1444.26017
Chuah, Chian Yeong; Gesztesy, Fritz; Littlejohn, Lance L.; Mei, Tao; Michael, Isaac; Pang, Michael M. H.
1
2020
Radial and logarithmic refinements of Hardy’s inequality. Zbl 1414.35010
Gesztesy, F.; Littlejohn, L. L.; Michael, I.; Pang, M. M. H.
8
2019
Self-adjoint operators and the general GKN-EM theorem. Zbl 1426.47003
Littlejohn, Lance L.; Wellman, Richard
2
2019
Factorizations and Hardy-Rellich-type inequalities. Zbl 1402.35014
Gesztesy, Fritz; Littlejohn, Lance
13
2018
On Birman’s sequence of Hardy-Rellich-type inequalities. Zbl 1384.26043
Gesztesy, Fritz; Littlejohn, Lance L.; Michael, Isaac; Wellman, Richard
12
2018
Differential operator for discrete Gegenbauer-Sobolev orthogonal polynomials: eigenvalues and asymptotics. Zbl 1404.33011
Littlejohn, Lance L.; Mañas-Mañas, Juan F.; Moreno-Balcázar, Juan J.; Wellman, Richard
4
2018
The spectral analysis of three families of exceptional Laguerre polynomials. Zbl 1333.33018
Liaw, Constanze; Littlejohn, Lance L.; Milson, Robert; Stewart, Jessica
7
2016
Glazman-Krein-Naimark theory, left-definite theory and the square of the Legendre polynomials differential operator. Zbl 1353.47084
Littlejohn, Lance L.; Wicks, Quinn
4
2016
On the asymptotic normality of the Legendre-Stirling numbers of the second kind. Zbl 1360.11048
Gawronski, Wolfgang; Littlejohn, Lance L.; Neuschel, Thorsten
6
2015
A spectral study of the second-order exceptional \(X_1\)-Jacobi differential expression and a related non-classical Jacobi differential expression. Zbl 1303.33012
Liaw, Constanze; Littlejohn, Lance L.; Stewart, Jessica; Wicks, Quinn
5
2015
Spectral analysis for the exceptional \(X_m\)-Jacobi equation. Zbl 1320.33017
Liaw, Constanze; Littlejohn, Lance; Kelly Stewart, Jessica
4
2015
Asymptotics of Stirling and Chebyshev-Stirling numbers of the second kind. Zbl 1331.11018
Gawronski, Wolfgang; Littlejohn, Lance L.; Neuschel, Thorsten
10
2014
Diagonalizability and symmetrizability of Sobolev-type bilinear forms: a combinatorial approach. Zbl 1300.05321
Kim, H. K.; Kwon, K. H.; Littlejohn, L. L.; Yoon, G. J.
3
2014
Classical and Sobolev orthogonality of the nonclassical Jacobi polynomials with parameters \(\alpha =\beta =-1\). Zbl 1296.33018
Bruder, Andrea; Littlejohn, Lance L.
1
2014
The Jacobi-Stirling numbers. Zbl 1261.11022
Andrews, George E.; Egge, Eric S.; Gawronski, Wolfgang; Littlejohn, Lance L.
25
2013
On the spectra of left-definite operators. Zbl 1310.47034
Littlejohn, Lance L.; Wellman, Richard
5
2013
Nonclassical Jacobi polynomials and Sobolev orthogonality. Zbl 1259.33015
Bruder, Andrea; Littlejohn, L. L.
2
2012
Foreword: Franciszek Hugon Szafraniec: a scholar of eminence. Zbl 1273.01040
Cichoń, Dariusz; Littlejohn, Lance; Stochel, Jan
1
2012
The Legendre-Stirling numbers. Zbl 1237.05010
Andrews, G. E.; Gawronski, W.; Littlejohn, L. L.
29
2011
The Legendre equation and its self-adjoint operators. Zbl 1417.34206
Littlejohn, Lance L.; Zettl, Anton
4
2011
Left-definite theory with applications to orthogonal polynomials. Zbl 1237.47025
Bruder, Andrea; Littlejohn, Lance L.; Tuncer, Davut; Wellman, R.
4
2010
Variation of parameters and solutions of composite products of linear differential equations. Zbl 1197.34008
Littlejohn, Lance L.; López, José L.
1
2010
A combinatorial interpretation of the Legendre-Stirling numbers. Zbl 1167.05002
Andrews, George E.; Littlejohn, Lance L.
28
2009
Properties of the solutions of the fourth-order Bessel-type differential equation. Zbl 1204.34121
Everitt, W. N.; Markett, C.; Littlejohn, L. L.
8
2009
Ghost matrices and a characterization of symmetric Sobolev bilinear forms. Zbl 1214.15016
Kwon, K. H.; Littlejohn, Lance L.; Yoon, G. J.
7
2009
Quasi-separation of the biharmonic partial differential equation. Zbl 1185.35065
Everitt, W. N.; Johansson, B. T.; Littlejohn, L. L.; Markett, C.
1
2009
Jacobi-Stirling numbers, Jacobi polynomials, and the left-definite analysis of the classical Jacobi differential expression. Zbl 1119.33009
Everitt, W. N.; Kwon, K. H.; Littlejohn, L. L.; Wellman, R.; Yoon, G. J.
43
2007
Left-definite variations of the classical Fourier expansion theorem. Zbl 1181.47050
Littlejohn, L. L.; Zettl, A.
2
2007
Construction of differential operators having Bochner-Krall orthogonal polynomials as eigenfunctions. Zbl 1121.34016
Kwon, K. H.; Littlejohn, L. L.; Yoon, G. J.
8
2006
Sobolev orthogonal polynomials in two variables and second order partial differential equations. Zbl 1105.33012
Lee, Jeong Keun; Littlejohn, L. L.
6
2006
Fourth-order Bessel equation: eigenpackets and a generalized Hankel transform. Zbl 1200.33009
Everitt, W. N.; Kalf, H.; Littlejohn, L. L.; Markett, C.
5
2006
A construction of real weight functions for certain orthogonal polynomials in two variables. Zbl 1096.35029
Lee, J. K.; Littlejohn, L. L.
1
2006
Additional spectral properties of the fourth-order Bessel-type differential equation. Zbl 1099.33003
Everitt, W. N.; Kalf, H.; Littlejohn, L. L.; Markett, C.
5
2005
The Sobolev orthogonality and spectral analysis of the Laguerre polynomials \(\{L_{n}^{-k}\}\) for positive integers \(k\). Zbl 1063.33009
Everitt, W. N.; Littlejohn, L. L.; Wellman, R.
15
2004
On analytic sampling theory. Zbl 1057.44003
García, A. G.; Littlejohn, L. L.
11
2004
The fourth-order Bessel-type differential equation. Zbl 1053.34013
Das, Jyoti; Everitt, W. N.; Hinton, D. B.; Littlejohn, L. L.; Markett, C.
7
2004
Orthogonal polynomials satisfying partial differential equations belonging to the basic class. Zbl 1064.33011
Lie, J. K.; Littlejohn, L. L.; Yoo, B. H.
4
2004
A general left-definite theory for certain self-adjoint operators with applications to differential equations. Zbl 1008.47029
Littlejohn, L. L.; Wellman, R.
27
2002
Legendre polynomials, Legendre–Stirling numbers, and the left-definite spectral analysis of the Legendre differential expression. Zbl 1014.33003
Everitt, W. N.; Littlejohn, L. L.; Wellman, R.
26
2002
On properties of the Legendre differential expression. Zbl 1058.33008
Everitt, W. N.; Littlejohn, L. L.; Marić, V.
6
2002
On the right-definite and left-definite spectral theory of the Legendre polynomials. Zbl 1041.33007
Arvesú, J.; Littlejohn, L. L.; Marcellán, F.
5
2002
On generalized Riesz points. Zbl 1019.47004
Harte, Robin; Lee, Woo Young; Littlejohn, Lance L.
3
2002
Orthogonal polynomial solutions of linear ordinary differential equations. Zbl 0993.33004
Everitt, W. N.; Kwon, K. H.; Littlejohn, L. L.; Wellman, R.
29
2001
Orthogonal polynomial solutions of spectral type differential equations: Magnus’ conjecture. Zbl 0994.33003
Kwon, K. H.; Littlejohn, L. L.; Yoon, G. J.
12
2001
Orthogonal polynomial eigenfunctions of second-order partial differential equations. Zbl 0972.33007
Kwon, K. H.; Lee, J. K.; Littlejohn, L. L.
9
2001
Self-adjoint operators generated from non-Lagrangian symmetric differential equations having orthogonal polynomial eigenfunctions. Zbl 1016.33009
Everitt, W. N.; Kwon, K. H.; Lee, J. K.; Littlejohn, L. L.; Williams, S. C.
2
2001
The left-definite spectral theory for the classical Hermite differential equation. Zbl 1091.47506
Everitt, W. N.; Littlejohn, L. L.; Wellman, R.
11
2000
Bochner-Krall orthogonal polynomials. Zbl 1097.42504
Kwon, K. H.; Yoon, G. J.; Littlejohn, L. L.
6
2000
An integral operator inequality with applications. Zbl 0936.47029
Chisholm, R. S.; Everitt, W. N.; Littlejohn, L. L.
17
1999
H. J. S. Smith and the Fermat two squares theorem. Zbl 1029.01006
Clarke, F. W.; Everitt, W. N.; Littlejohn, L. L.; Vorster, S. J. R.
2
1999
Sobolev orthogonal polynomials and second-order differential equations. Zbl 0930.33004
Kwon, K. H.; Littlejohn, L. L.
38
1998
A catalogue of HELP and HELP-type integral and series inequalities. Zbl 0898.26005
Benammar, M.; Bennewitz, C.; Beynon, M. J.; Brown, B. M.; Dias, N. G. J.; Evans, W. D.; Everitt, W. N.; Kirby, V. G.; Littlejohn, L. L.
2
1998
Classification of classical orthogonal polynomials. Zbl 0898.33002
Kwon, Kil H.; Littlejohn, Lance L.
19
1997
Differential equations having orthogonal polynomial solutions. Zbl 0883.33004
Kwon, K. H.; Lee, D. W.; Littlejohn, L. L.
9
1997
On the spectral analysis of the Laguerre polynomials \(\{L_ n^{-k}(x)\}\) for positive integers \(k\). Zbl 0885.34065
Everitt, W. N.; Kwon, K. H.; Littlejohn, L. L.; Wellman, R.
5
1997
New characterizations of classical orthogonal polynomials. Zbl 0861.33006
Kwon, K. H.; Littlejohn, L. L.; Yoo, B. H.
9
1996
Sobolev orthogonal polynomials and second order differential equation. II. Zbl 0910.33003
Kwon, K. H.; Lee, D. W.; Littlejohn, L. L.
5
1996
On recurrence relations for Sobolev orthogonal polynomials. Zbl 0824.33006
Evans, W. D.; Littlejohn, Lance L.; Marcellan, Francisco; Markett, Clemens; Ronveaux, Andre
35
1995
The orthogonality of the Laguerre polynomials \(\{ L_ n^{-k}(x)\}\) for positive integers \(k\). Zbl 0831.33003
Kwon, K. H.; Littlejohn, L. L.
32
1995
The symmetric form of the Koekoeks’ Laguerre type differential equation. Zbl 0827.33004
Everitt, W. N.; Littlejohn, L. L.; Wellman, R.
7
1995
Sobolev orthogonal polynomials and spectral differential equations. Zbl 0846.33008
Jung, I. H.; Kwon, K. H.; Lee, D. W.; Littlejohn, L. L.
7
1995
The Laguerre type operator in a left definite Hilbert space. Zbl 0837.34082
Krall, Allan M.; Everitt, W. N.; Littlejohn, L. L.; Onyango-Otieno, V. P.
5
1995
Differential equations and Sobolev orthogonality. Zbl 0847.33007
Jung, I. H.; Kwon, K. H.; Lee, D. W.; Littlejohn, L. L.
4
1995
Characterizations of orthogonal polynomials satisfying differential equations. Zbl 0803.33010
Kwon, K. H.; Littlejohn, L. L.; Yoo, B. H.
16
1994
Properties of the operator domains of the fourth-order Legendre-type differential expressions. Zbl 0803.34014
Everitt, W. N.; Littlejohn, L. L.; Loveland, S. M.
4
1994
Characterization of classical type orthogonal polynomials. Zbl 0803.33011
Kwon, K. H.; Littlejohn, L. L.; Lee, J. K.; Yoo, B. H.
1
1994
Orthogonal polynomials and approximation in Sobolev spaces. Zbl 0796.42020
Everitt, W. N.; Littlejohn, L. L.; Williams, S. C.
12
1993
The Legendre polynomials under a left definite energy norm. Zbl 0798.34031
Krall, Allan M.; Littlejohn, Lance L.
6
1993
Some properties of the sixth-order Legendre-type differential expression. Zbl 0805.34025
Everitt, W. N.; Littlejohn, L. L.; Loveland, S. M.
4
1993
Real orthogonalizing weights for Bessel polynomials. Zbl 0792.33009
Evans, W. D.; Everitt, W. N.; Kwon, K. H.; Littlejohn, L. L.
3
1993
Orthogonal polynomials and extensions of Copson’s inequality. Zbl 0814.26009
Brown, B. M.; Evans, W. D.; Littlejohn, L. L.
3
1993
On the completeness of orthogonal polynomials in left-definite Sobolev spaces. Zbl 0856.33007
Everitt, W. N.; Littlejohn, L. L.; Wellman, R.
1
1993
Differential operators and Laguerre type polynomials. Zbl 0772.33004
Everitt, W. N.; Krall, A. M.; Littlejohn, L. L.; Onyango-Otieno
7
1992
Discrete inequalities, orthogonal polynomials and the spectral theory of difference operators. Zbl 0761.39007
Brown, B. M.; Evans, W. D.; Littlejohn, L. L.
2
1992
A solution to the general Bessel moment problem. Zbl 0858.33004
Evans, W. D.; Everitt, W. N.; Krall, A. M.; Kwon, K. H.; Littlejohn, L. L.
1
1992
The Legendre type operator in a left definite Hilbert space. Zbl 0766.34057
Krall, Allan M.; Everitt, W. N.; Littlejohn, L. L.
1
1992
Orthogonal polynomials and spectral theory: A survey. Zbl 0837.33002
Everitt, W. N.; Littlejohn, L. L.
19
1991
The left-definite Legendre type boundary problem. Zbl 0735.34026
Everitt, W. N.; Littlejohn, L. L.; Williams, S. C.
3
1991
The density of polynomials in a weighted Sobolev space. Zbl 0765.41008
Everitt, W. N.; Littlejohn, L. L.
14
1990
On some properties of the Legendre type differential expression. Zbl 0705.33007
Everitt, W. N.; Krall, A. M.; Littlejohn, L. L.
14
1990
Symmetric and symmetrisable differential expressions. Zbl 0655.33007
Littlejohn, Lance L.; Race, David
11
1990
Symmetry factors for differential equations with applications to orthogonal polynomials. Zbl 0733.33005
Littlejohn, L. L.
4
1990
Orthogonal polynomials and higher order singular Sturm-Liouville systems. Zbl 0686.33014
Littlejohn, Lance L.; Krall, Allan M.
14
1989
Orthogonal polynomials in weighted Sobolev spaces. Zbl 0676.33005
Everitt, W. N.; Littlejohn, L. L.; Williams, S. C.
14
1989
Differential operators and the Legendre type polynomials. Zbl 0727.34021
Everitt, W. N.; Littlejohn, L. L.
12
1988
Orthogonal polynomial solutions to ordinary and partial differential equations. Zbl 0653.42022
Littlejohn, L. L.
9
1988
On the classification of differential equations having orthogonal polynomial solutions. II. Zbl 0643.34002
Krall, A. M.; Littlejohn, L. L.
23
1987
Distributional solutions of the hypergeometric differential equation. Zbl 0629.34006
Littlejohn, L. L.; Kanwal, R. P.
13
1987
Distributional solutions of ordinary differential equations. Zbl 0628.34031
Krall, Allan M.; Kanwal, R. P.; Littlejohn, L. L.
5
1987
Sturm-Liouville operators and orthogonal polynomials. Zbl 0629.34027
Krall, A. M.; Littlejohn, L. L.
4
1987
An application of a new theorem on orthogonal polynomials and differential equations. Zbl 0605.33010
Littlejohn, Lance L.
32
1986
Orthogonal polynomials and singular Sturm-Liouville systems. I. Zbl 0614.33013
Littlejohn, Lance L.; Krall, Allan M.
16
1986
On the classification of differential equations having orthogonal polynomial solutions. Zbl 0571.34003
Littlejohn, Lance L.
38
1984
Symmetry factors for differential equations. Zbl 0548.34008
Littlejohn, Lance L.
9
1983
The Krall polynomials as solutions to a second order differential equation. Zbl 0525.33007
Littlejohn, Lance L.
6
1983
The Krall polynomials: A new class of orthogonal polynomials. Zbl 0514.33008
Littlejohn, Lance L.
49
1982
Nonclassical orthogonal polynomials as solutions to second order differential equations. Zbl 0445.33016
Littlejohn, Lance L.; Shore, Samuel D.
10
1982
A singular sixth order differential equation with orthogonal polynomial eigenfunctions. Zbl 0506.34021
Littlejohn, Lance L.; Krall, Allan M.
2
1982
all top 5

Cited by 409 Authors

57 Littlejohn, Lance L.
29 Kwon, Kil Hyun
28 Marcellán Español, Francisco
22 Durán, Antonio José
21 Everitt, William Norrie
18 Piñar, Miguel A.
16 Pérez, Teresa E.
15 Markett, Clemens
13 Wellman, Richard
12 Gesztesy, Fritz
11 Sharapudinov, Idris Idrisovich
10 Fernández, Lidia
10 Rodríguez García, José Manuel
9 Merca, Mircea
9 Nguyen Tuan Duy
8 Álvarez-Nodarse, Renato
7 Álvarez de Morales, María
7 Domínguez de la Iglesia, Manuel
7 Lam, Nguyen
6 Krall, Allan M.
6 Milson, Robert
6 Moreno-Balcázar, Juan José
6 Osilenker, Boris P.
6 Zhedanov, Alexei S.
5 Branquinho, Amílcar José Pinto Lopes
5 García-Caballero, Esther M.
5 Gómez-Ullate, David
5 Liaw, Constanze
5 Loureiro, Ana Filipa
5 Maroni, Pascal
5 Michael, Isaac B.
5 Moreno, Samuel G.
5 Nichols, Roger
5 Pang, Michael M. H.
5 Quintana, Yamilet
5 Zagorodnyuk, Sergey Mihaylovich
4 Area, Iván
4 Bavinck, Herman
4 Delgado, Antonia M.
4 Frymark, Dale
4 García, Antonio G.
4 Godoy, Eduardo Paciência
4 Hernández-Medina, Miguel Ángel
4 Iliev, Plamen
4 Kamran, Niky
4 Koekoek, Roelof
4 Marriaga, Misael E.
4 Portilla, Ana
4 Tharwat, Mohammed M.
4 Touris, Eva
4 Vinet, Luc
4 Xu, Yuan
3 Alfaro García, Manuel
3 Belmehdi, Said
3 Bruder, Andrea
3 Estrada, Ricardo
3 Evans, William Desmond
3 García-Ardila, Juan Carlos
3 Gawronski, Wolfgang
3 Grünbaum, Francisco Alberto
3 Khorozov, Emil Ivanov
3 Kanwal, Ram Prakash
3 Koekoek, Jan
3 Lin, Zhicong
3 Lu, Guozhen
3 Ma, Jun
3 Mendes, Ana
3 Nonlaopon, Kamsing
3 Phi, Le Long
3 Rezola, María Luisa
3 Ronveaux, André
3 Sezer, Mehmet
3 Stanfill, Jonathan
3 Verde-Star, Luis
3 Zeng, Jiang
3 Zettl, Anton
2 Altinisik, Nihat
2 Andrews, George Eyre
2 Arvesú, Jorge
2 Awonusika, Richard Olu
2 Azad, Hassan
2 Blake Allan, S.
2 Brown, B. Malcolm
2 Caruntu, Dumitru I.
2 Cooke, Kenneth L.
2 Costas-Santos, Roberto S.
2 Derevyagin, Maxim S.
2 Dominici, Diego Ernesto
2 Foulquié Moreno, Ana Pilar
2 Gadzhieva, Zul’fiya Dzhamaldinovna
2 Guadalupe Hernández, José Javier (Chicho)
2 Gülsu, Mustafa
2 Guo, Ben-Yu
2 Haine, Luc
2 Han, Sung Sil
2 Han, Young Min
2 Hıra, Fatma
2 Ismail, Mourad El-Houssieny
2 Kalf, Hubert
2 Kim, Taekyun
...and 309 more Authors
all top 5

Cited in 127 Serials

66 Journal of Computational and Applied Mathematics
38 Journal of Approximation Theory
37 Journal of Mathematical Analysis and Applications
19 Integral Transforms and Special Functions
11 Proceedings of the American Mathematical Society
10 Linear Algebra and its Applications
7 Rocky Mountain Journal of Mathematics
7 Applied Mathematics and Computation
7 Journal of Differential Equations
7 Results in Mathematics
7 Constructive Approximation
7 Numerical Algorithms
6 Applicable Analysis
6 Journal of Mathematical Physics
6 Annali di Matematica Pura ed Applicata. Serie Quarta
6 European Journal of Combinatorics
6 Indagationes Mathematicae. New Series
5 Quaestiones Mathematicae
5 Transactions of the American Mathematical Society
5 Acta Applicandae Mathematicae
5 Mediterranean Journal of Mathematics
5 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications
4 Mathematical Notes
4 Numerical Functional Analysis and Optimization
4 Advances in Applied Mathematics
4 Russian Mathematics
4 Journal of Difference Equations and Applications
4 Boundary Value Problems
3 Journal of Combinatorial Theory. Series A
3 Mathematische Nachrichten
3 Abstract and Applied Analysis
3 Operators and Matrices
3 Advances in Operator Theory
2 Discrete Mathematics
2 Journal d’Analyse Mathématique
2 Periodica Mathematica Hungarica
2 Ukrainian Mathematical Journal
2 Journal of Functional Analysis
2 Journal of Number Theory
2 Applied Numerical Mathematics
2 The Journal of Analysis
2 Electronic Journal of Differential Equations (EJDE)
2 Filomat
2 The Ramanujan Journal
2 Mathematical Inequalities & Applications
2 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences
2 Differential Equations
2 Computational Methods and Function Theory
2 Advances in Difference Equations
2 Complex Analysis and Operator Theory
2 Asian-European Journal of Mathematics
2 Journal of Nonlinear Science and Applications
2 Journal of Spectral Theory
2 Izvestiya Saratovskogo Universiteta. Novaya Seriya. Seriya Matematika, Mekhanika, Informatika
1 Analysis Mathematica
1 Bulletin of the Australian Mathematical Society
1 Communications in Mathematical Physics
1 International Journal of Control
1 Indian Journal of Pure & Applied Mathematics
1 Journal of the Franklin Institute
1 Linear and Multilinear Algebra
1 Mathematical Methods in the Applied Sciences
1 Nuclear Physics. B
1 Russian Mathematical Surveys
1 Theoretical and Mathematical Physics
1 ZAMP. Zeitschrift für angewandte Mathematik und Physik
1 Mathematics of Computation
1 Advances in Mathematics
1 Archiv der Mathematik
1 Calcolo
1 Functional Analysis and its Applications
1 Glasgow Mathematical Journal
1 Integral Equations and Operator Theory
1 Mathematics and Computers in Simulation
1 Mathematica Slovaca
1 Mechanics Research Communications
1 Monatshefte für Mathematik
1 Osaka Journal of Mathematics
1 Siberian Mathematical Journal
1 Studies in Applied Mathematics
1 Acta Mathematica Hungarica
1 Numerical Methods for Partial Differential Equations
1 Journal of Theoretical Probability
1 Applied Mathematics Letters
1 Mathematical and Computer Modelling
1 Asymptotic Analysis
1 The Journal of Geometric Analysis
1 Journal de Mathématiques Pures et Appliquées. Neuvième Série
1 SIAM Journal on Mathematical Analysis
1 Expositiones Mathematicae
1 Experimental Mathematics
1 Calculus of Variations and Partial Differential Equations
1 Journal of Mathematical Sciences (New York)
1 St. Petersburg Mathematical Journal
1 The Electronic Journal of Combinatorics
1 Bulletin des Sciences Mathématiques
1 Opuscula Mathematica
1 Sbornik: Mathematics
1 Izvestiya: Mathematics
1 Annales Academiae Scientiarum Fennicae. Mathematica
...and 27 more Serials
all top 5

Cited in 42 Fields

244 Special functions (33-XX)
144 Harmonic analysis on Euclidean spaces (42-XX)
137 Ordinary differential equations (34-XX)
63 Operator theory (47-XX)
45 Functional analysis (46-XX)
37 Number theory (11-XX)
34 Combinatorics (05-XX)
32 Partial differential equations (35-XX)
27 Real functions (26-XX)
27 Approximations and expansions (41-XX)
24 Numerical analysis (65-XX)
15 Linear and multilinear algebra; matrix theory (15-XX)
14 Difference and functional equations (39-XX)
11 Information and communication theory, circuits (94-XX)
10 Functions of a complex variable (30-XX)
8 Integral transforms, operational calculus (44-XX)
7 Quantum theory (81-XX)
6 Probability theory and stochastic processes (60-XX)
4 Field theory and polynomials (12-XX)
4 Dynamical systems and ergodic theory (37-XX)
3 Nonassociative rings and algebras (17-XX)
3 Computer science (68-XX)
2 History and biography (01-XX)
2 Algebraic geometry (14-XX)
2 Topological groups, Lie groups (22-XX)
2 Abstract harmonic analysis (43-XX)
2 Integral equations (45-XX)
2 Mechanics of particles and systems (70-XX)
2 Systems theory; control (93-XX)
1 General and overarching topics; collections (00-XX)
1 Mathematical logic and foundations (03-XX)
1 Commutative algebra (13-XX)
1 Potential theory (31-XX)
1 Sequences, series, summability (40-XX)
1 Convex and discrete geometry (52-XX)
1 Differential geometry (53-XX)
1 Global analysis, analysis on manifolds (58-XX)
1 Fluid mechanics (76-XX)
1 Optics, electromagnetic theory (78-XX)
1 Relativity and gravitational theory (83-XX)
1 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
1 Biology and other natural sciences (92-XX)

Citations by Year