Edit Profile (opens in new tab) Littlejohn, Lance L. Co-Author Distance Author ID: littlejohn.lance-l Published as: Littlejohn, L. L.; Littlejohn, Lance L.; Littlejohn, Lance; Littlejohn, L. more...less Documents Indexed: 115 Publications since 1982, including 5 Additional arXiv Preprints Biographic References: 1 Publication Co-Authors: 63 Co-Authors with 105 Joint Publications 1,219 Co-Co-Authors all top 5 Co-Authors 8 single-authored 32 Everitt, William Norrie 23 Kwon, Kil Hyun 16 Wellman, Richard 13 Krall, Allan M. 11 Gesztesy, Fritz 6 Evans, William Desmond 6 Markett, Clemens 4 Gawronski, Wolfgang 4 Kelly Stewart, Jessica 4 Liaw, Constanze 4 Michael, Isaac B. 3 Andrews, George Eyre 3 Arvesú, Jorge 3 Brown, B. Malcolm 3 Bruder, Andrea 3 Kirsten, Klaus 3 Nichols, Roger 3 Pang, Michael M. H. 3 Stanfill, Jonathan 3 Zettl, Anton 2 Ashbaugh, Mark S. 2 Driver, Kathy A. 2 Hermi, Lotfi 2 Kalf, Hubert 2 Kanwal, Ram Prakash 2 Loveland, S. M. 2 Marcellán Español, Francisco 2 Milson, Robert 2 Neuschel, Thorsten 2 Onyango-Otieno, V. P. 2 Piorkowski, Mateusz 2 Race, David 2 Tossounian, Hagop 2 Wicks, Quinn 1 Bennewitz, Christer 1 Beynon, Malcolm James 1 Chisholm, R. S. 1 Cichoń, Dariusz 1 Clarke, Francis Willoughby 1 Das, Jyoti 1 Dias, N. G. J. 1 Egge, Eric S. 1 Elliott, Kenny B. 1 Fucci, Guglielmo 1 Han, Sung Sil 1 Harte, Robin E. 1 Hinton, Don Barker 1 Johansson, B. Tomas 1 Kirby, V. G. 1 Lee, Jeongkeun 1 Lee, Woo Young 1 Lie, J. K. 1 López, José Luis 1 Mañas-Mañas, Juan F. 1 Marić, Vojislav 1 Mei, Tao 1 Moreno-Balcázar, Juan José 1 Ronveaux, André 1 Shore, Samuel D. 1 Smith, Edward L. 1 Stochel, Jan 1 Tuncer, Davut 1 Vorster, S. J. Roelof all top 5 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 The Ramanujan Journal 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 all top 5 Fields 74 Special functions (33-XX) 71 Ordinary differential equations (34-XX) 28 Operator theory (47-XX) 18 Harmonic analysis on Euclidean spaces (42-XX) 10 Number theory (11-XX) 10 Partial differential equations (35-XX) 7 Real functions (26-XX) 6 Combinatorics (05-XX) 5 Functional analysis (46-XX) 3 Approximations and expansions (41-XX) 2 History and biography (01-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Measure and integration (28-XX) 2 Difference and functional equations (39-XX) 2 Integral transforms, operational calculus (44-XX) 1 Field theory and polynomials (12-XX) 1 Functions of a complex variable (30-XX) 1 Mechanics of deformable solids (74-XX) 1 Information and communication theory, circuits (94-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 101 Publications have been cited 1,120 times in 481 Documents Cited by ▼ Year ▼ The Krall polynomials: A new class of orthogonal polynomials. Zbl 0514.33008 Littlejohn, Lance L. 52 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. 48 2007 Sobolev orthogonal polynomials and second-order differential equations. Zbl 0930.33004 Kwon, K. H.; Littlejohn, L. L. 40 1998 On the classification of differential equations having orthogonal polynomial solutions. Zbl 0571.34003 Littlejohn, Lance L. 38 1984 On recurrence relations for Sobolev orthogonal polynomials. Zbl 0824.33006 Evans, W. D.; Littlejohn, Lance L.; Marcellan, Francisco; Markett, Clemens; Ronveaux, Andre 36 1995 An application of a new theorem on orthogonal polynomials and differential equations. Zbl 0605.33010 Littlejohn, Lance L. 35 1986 The orthogonality of the Laguerre polynomials \(\{ L_ n^{-k}(x)\}\) for positive integers \(k\). Zbl 0831.33003 Kwon, K. H.; Littlejohn, L. L. 34 1995 A general left-definite theory for certain self-adjoint operators with applications to differential equations. Zbl 1008.47029 Littlejohn, L. L.; Wellman, R. 32 2002 The Legendre-Stirling numbers. Zbl 1237.05010 Andrews, G. E.; Gawronski, W.; Littlejohn, L. L. 31 2011 Orthogonal polynomial solutions of linear ordinary differential equations. Zbl 0993.33004 Everitt, W. N.; Kwon, K. H.; Littlejohn, L. L.; Wellman, R. 31 2001 A combinatorial interpretation of the Legendre-Stirling numbers. Zbl 1167.05002 Andrews, George E.; Littlejohn, Lance L. 29 2009 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. 27 2002 The Jacobi-Stirling numbers. Zbl 1261.11022 Andrews, George E.; Egge, Eric S.; Gawronski, Wolfgang; Littlejohn, Lance L. 27 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. 20 1991 Classification of classical orthogonal polynomials. Zbl 0898.33002 Kwon, Kil H.; Littlejohn, Lance L. 20 1997 An integral operator inequality with applications. Zbl 0936.47029 Chisholm, R. S.; Everitt, W. N.; Littlejohn, L. L. 19 1999 Orthogonal polynomials and singular Sturm-Liouville systems. I. Zbl 0614.33013 Littlejohn, Lance L.; Krall, Allan M. 18 1986 Factorizations and Hardy-Rellich-type inequalities. Zbl 1402.35014 Gesztesy, Fritz; Littlejohn, Lance 17 2018 On some properties of the Legendre type differential expression. Zbl 0705.33007 Everitt, W. N.; Krall, A. M.; Littlejohn, L. L. 16 1990 Characterizations of orthogonal polynomials satisfying differential equations. Zbl 0803.33010 Kwon, K. H.; Littlejohn, L. L.; Yoo, B. H. 16 1994 Orthogonal polynomials in weighted Sobolev spaces. Zbl 0676.33005 Everitt, W. N.; Littlejohn, L. L.; Williams, S. C. 15 1989 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 Birman’s sequence of Hardy-Rellich-type inequalities. Zbl 1384.26043 Gesztesy, Fritz; Littlejohn, Lance L.; Michael, Isaac; Wellman, Richard 15 2018 Orthogonal polynomials and higher order singular Sturm-Liouville systems. Zbl 0686.33014 Littlejohn, Lance L.; Krall, Allan M. 14 1989 The density of polynomials in a weighted Sobolev space. Zbl 0765.41008 Everitt, W. N.; Littlejohn, L. L. 14 1990 The spectral analysis of three families of exceptional Laguerre polynomials. Zbl 1333.33018 Liaw, Constanze; Littlejohn, Lance L.; Milson, Robert; Stewart, Jessica 14 2016 Distributional solutions of the hypergeometric differential equation. Zbl 0629.34006 Littlejohn, L. L.; Kanwal, R. P. 13 1987 On self-adjoint boundary conditions for singular Sturm-Liouville operators bounded from below. Zbl 1458.34143 Gesztesy, Fritz; Littlejohn, Lance L.; Nichols, Roger 13 2020 The left-definite spectral theory for the classical Hermite differential equation. Zbl 1091.47506 Everitt, W. N.; Littlejohn, L. L.; Wellman, R. 12 2000 Orthogonal polynomial solutions of spectral type differential equations: Magnus’ conjecture. Zbl 0994.33003 Kwon, K. H.; Littlejohn, L. L.; Yoon, G. J. 12 2001 Differential operators and the Legendre type polynomials. Zbl 0727.34021 Everitt, W. N.; Littlejohn, L. L. 12 1988 Orthogonal polynomials and approximation in Sobolev spaces. Zbl 0796.42020 Everitt, W. N.; Littlejohn, L. L.; Williams, S. C. 12 1993 Asymptotics of Stirling and Chebyshev-Stirling numbers of the second kind. Zbl 1331.11018 Gawronski, Wolfgang; Littlejohn, Lance L.; Neuschel, Thorsten 12 2014 Radial and logarithmic refinements of Hardy’s inequality. Zbl 1414.35010 Gesztesy, F.; Littlejohn, L. L.; Michael, I.; Pang, M. M. H. 12 2019 Symmetric and symmetrisable differential expressions. Zbl 0655.33007 Littlejohn, Lance L.; Race, David 11 1990 Orthogonal polynomial eigenfunctions of second-order partial differential equations. Zbl 0972.33007 Kwon, K. H.; Lee, J. K.; Littlejohn, L. L. 11 2001 On analytic sampling theory. Zbl 1057.44003 García, A. G.; Littlejohn, L. L. 11 2004 Orthogonal polynomial solutions to ordinary and partial differential equations. Zbl 0653.42022 Littlejohn, L. L. 10 1988 Nonclassical orthogonal polynomials as solutions to second order differential equations. Zbl 0445.33016 Littlejohn, Lance L.; Shore, Samuel D. 10 1982 Symmetry factors for differential equations. Zbl 0548.34008 Littlejohn, Lance L. 9 1983 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 The symmetric form of the Koekoeks’ Laguerre type differential equation. Zbl 0827.33004 Everitt, W. N.; Littlejohn, L. L.; Wellman, R. 8 1995 Bochner-Krall orthogonal polynomials. Zbl 1097.42504 Kwon, K. H.; Yoon, G. J.; Littlejohn, L. L. 8 2000 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 Glazman-Krein-Naimark theory, left-definite theory and the square of the Legendre polynomials differential operator. Zbl 1353.47084 Littlejohn, Lance L.; Wicks, Quinn 8 2016 On the asymptotic normality of the Legendre-Stirling numbers of the second kind. Zbl 1360.11048 Gawronski, Wolfgang; Littlejohn, Lance L.; Neuschel, Thorsten 8 2015 Spectral analysis for the exceptional \(X_m\)-Jacobi equation. Zbl 1320.33017 Liaw, Constanze; Littlejohn, Lance; Kelly Stewart, Jessica 8 2015 Sobolev orthogonal polynomials and spectral differential equations. Zbl 0846.33008 Jung, I. H.; Kwon, K. H.; Lee, D. W.; Littlejohn, L. L. 7 1995 Ghost matrices and a characterization of symmetric Sobolev bilinear forms. Zbl 1214.15016 Kwon, K. H.; Littlejohn, Lance L.; Yoon, G. J. 7 2009 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 Sobolev orthogonal polynomials in two variables and second order partial differential equations. Zbl 1105.33012 Lee, Jeong Keun; Littlejohn, L. L. 7 2006 Differential operators and Laguerre type polynomials. Zbl 0772.33004 Everitt, W. N.; Krall, A. M.; Littlejohn, L. L.; Onyango-Otieno 7 1992 Fourth-order Bessel equation: eigenpackets and a generalized Hankel transform. Zbl 1200.33009 Everitt, W. N.; Kalf, H.; Littlejohn, L. L.; Markett, C. 6 2006 The Krall polynomials as solutions to a second order differential equation. Zbl 0525.33007 Littlejohn, Lance L. 6 1983 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. 6 1997 The Legendre polynomials under a left definite energy norm. Zbl 0798.34031 Krall, Allan M.; Littlejohn, Lance L. 6 1993 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 6 2015 On properties of the Legendre differential expression. Zbl 1058.33008 Everitt, W. N.; Littlejohn, L. L.; Marić, V. 6 2002 On the spectra of left-definite operators. Zbl 1310.47034 Littlejohn, Lance L.; Wellman, Richard 6 2013 Distributional solutions of ordinary differential equations. Zbl 0628.34031 Krall, Allan M.; Kanwal, R. P.; Littlejohn, L. L. 5 1987 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 Left-definite theory with applications to orthogonal polynomials. Zbl 1237.47025 Bruder, Andrea; Littlejohn, Lance L.; Tuncer, Davut; Wellman, R. 5 2010 The Legendre equation and its self-adjoint operators. Zbl 1417.34206 Littlejohn, Lance L.; Zettl, Anton 5 2011 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 Orthogonal polynomials satisfying partial differential equations belonging to the basic class. Zbl 1064.33011 Lie, J. K.; Littlejohn, L. L.; Yoo, B. H. 5 2004 Some properties of the sixth-order Legendre-type differential expression. Zbl 0805.34025 Everitt, W. N.; Littlejohn, L. L.; Loveland, S. M. 5 1993 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 Sturm-Liouville operators and orthogonal polynomials. Zbl 0629.34027 Krall, A. M.; Littlejohn, L. L. 4 1987 Differential equations and Sobolev orthogonality. Zbl 0847.33007 Jung, I. H.; Kwon, K. H.; Lee, D. W.; Littlejohn, L. L. 4 1995 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 Symmetry factors for differential equations with applications to orthogonal polynomials. Zbl 0733.33005 Littlejohn, L. L. 4 1990 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 The left-definite Legendre type boundary problem. Zbl 0735.34026 Everitt, W. N.; Littlejohn, L. L.; Williams, S. C. 3 1991 Discrete inequalities, orthogonal polynomials and the spectral theory of difference operators. Zbl 0761.39007 Brown, B. M.; Evans, W. D.; Littlejohn, L. L. 3 1992 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 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 On generalized Riesz points. Zbl 1019.47004 Harte, Robin; Lee, Woo Young; Littlejohn, Lance L. 3 2002 Nonclassical Jacobi polynomials and Sobolev orthogonality. Zbl 1259.33015 Bruder, Andrea; Littlejohn, L. L. 3 2012 A singular sixth order differential equation with orthogonal polynomial eigenfunctions. Zbl 0506.34021 Littlejohn, Lance L.; Krall, Allan M. 2 1982 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 Quasi-separation of the biharmonic partial differential equation. Zbl 1185.35065 Everitt, W. N.; Johansson, B. T.; Littlejohn, L. L.; Markett, C. 2 2009 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 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 Left-definite variations of the classical Fourier expansion theorem. Zbl 1181.47050 Littlejohn, L. L.; Zettl, A. 2 2007 Self-adjoint operators and the general GKN-EM theorem. Zbl 1426.47003 Littlejohn, Lance L.; Wellman, Richard 2 2019 On weighted Hardy-type inequalities. Zbl 1444.26017 Chuah, Chian Yeong; Gesztesy, Fritz; Littlejohn, Lance L.; Mei, Tao; Michael, Isaac; Pang, Michael M. H. 2 2020 A sequence of weighted Birman-Hardy-Rellich inequalities with logarithmic refinements. Zbl 1501.26011 Gesztesy, Fritz; Littlejohn, Lance L.; Michael, Isaac; Pang, Michael M. H. 2 2022 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 A construction of real weight functions for certain orthogonal polynomials in two variables. Zbl 1096.35029 Lee, J. K.; Littlejohn, L. L. 1 2006 On the completeness of orthogonal polynomials in left-definite Sobolev spaces. Zbl 0856.33007 Everitt, W. N.; Littlejohn, L. L.; Wellman, R. 1 1993 Characterization of classical type orthogonal polynomials. Zbl 0803.33011 Kwon, K. H.; Littlejohn, L. L.; Lee, J. K.; Yoo, B. H. 1 1994 The Legendre type operator in a left definite Hilbert space. Zbl 0766.34057 Krall, Allan M.; Everitt, W. N.; Littlejohn, L. L. 1 1992 Variation of parameters and solutions of composite products of linear differential equations. Zbl 1197.34008 Littlejohn, Lance L.; López, José L. 1 2010 Classical and Sobolev orthogonality of the nonclassical Jacobi polynomials with parameters \(\alpha =\beta =-1\). Zbl 1296.33018 Bruder, Andrea; Littlejohn, Lance L. 1 2014 Foreword: Franciszek Hugon Szafraniec: a scholar of eminence. Zbl 1273.01040 Cichoń, Dariusz; Littlejohn, Lance; Stochel, Jan 1 2012 A sequence of weighted Birman-Hardy-Rellich inequalities with logarithmic refinements. Zbl 1501.26011 Gesztesy, Fritz; Littlejohn, Lance L.; Michael, Isaac; Pang, Michael M. H. 2 2022 Interlacing of zeros of Laguerre polynomials of equal and consecutive degree. Zbl 1491.33008 Arvesú, J.; Driver, K.; Littlejohn, L. 1 2021 On self-adjoint boundary conditions for singular Sturm-Liouville operators bounded from below. Zbl 1458.34143 Gesztesy, Fritz; Littlejohn, Lance L.; Nichols, Roger 13 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. 2 2020 Radial and logarithmic refinements of Hardy’s inequality. Zbl 1414.35010 Gesztesy, F.; Littlejohn, L. L.; Michael, I.; Pang, M. M. H. 12 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 17 2018 On Birman’s sequence of Hardy-Rellich-type inequalities. Zbl 1384.26043 Gesztesy, Fritz; Littlejohn, Lance L.; Michael, Isaac; Wellman, Richard 15 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 14 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 8 2016 On the asymptotic normality of the Legendre-Stirling numbers of the second kind. Zbl 1360.11048 Gawronski, Wolfgang; Littlejohn, Lance L.; Neuschel, Thorsten 8 2015 Spectral analysis for the exceptional \(X_m\)-Jacobi equation. Zbl 1320.33017 Liaw, Constanze; Littlejohn, Lance; Kelly Stewart, Jessica 8 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 6 2015 Asymptotics of Stirling and Chebyshev-Stirling numbers of the second kind. Zbl 1331.11018 Gawronski, Wolfgang; Littlejohn, Lance L.; Neuschel, Thorsten 12 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. 27 2013 On the spectra of left-definite operators. Zbl 1310.47034 Littlejohn, Lance L.; Wellman, Richard 6 2013 Nonclassical Jacobi polynomials and Sobolev orthogonality. Zbl 1259.33015 Bruder, Andrea; Littlejohn, L. L. 3 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. 31 2011 The Legendre equation and its self-adjoint operators. Zbl 1417.34206 Littlejohn, Lance L.; Zettl, Anton 5 2011 Left-definite theory with applications to orthogonal polynomials. Zbl 1237.47025 Bruder, Andrea; Littlejohn, Lance L.; Tuncer, Davut; Wellman, R. 5 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. 29 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. 2 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. 48 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. 7 2006 Fourth-order Bessel equation: eigenpackets and a generalized Hankel transform. Zbl 1200.33009 Everitt, W. N.; Kalf, H.; Littlejohn, L. L.; Markett, C. 6 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. 5 2004 A general left-definite theory for certain self-adjoint operators with applications to differential equations. Zbl 1008.47029 Littlejohn, L. L.; Wellman, R. 32 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. 27 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. 31 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. 11 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. 12 2000 Bochner-Krall orthogonal polynomials. Zbl 1097.42504 Kwon, K. H.; Yoon, G. J.; Littlejohn, L. L. 8 2000 An integral operator inequality with applications. Zbl 0936.47029 Chisholm, R. S.; Everitt, W. N.; Littlejohn, L. L. 19 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. 40 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. 20 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. 6 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 36 1995 The orthogonality of the Laguerre polynomials \(\{ L_ n^{-k}(x)\}\) for positive integers \(k\). Zbl 0831.33003 Kwon, K. H.; Littlejohn, L. L. 34 1995 The symmetric form of the Koekoeks’ Laguerre type differential equation. Zbl 0827.33004 Everitt, W. N.; Littlejohn, L. L.; Wellman, R. 8 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. 5 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. 3 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. 20 1991 The left-definite Legendre type boundary problem. Zbl 0735.34026 Everitt, W. N.; Littlejohn, L. L.; Williams, S. C. 3 1991 On some properties of the Legendre type differential expression. Zbl 0705.33007 Everitt, W. N.; Krall, A. M.; Littlejohn, L. L. 16 1990 The density of polynomials in a weighted Sobolev space. Zbl 0765.41008 Everitt, W. N.; 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 in weighted Sobolev spaces. Zbl 0676.33005 Everitt, W. N.; Littlejohn, L. L.; Williams, S. C. 15 1989 Orthogonal polynomials and higher order singular Sturm-Liouville systems. Zbl 0686.33014 Littlejohn, Lance L.; Krall, Allan M. 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. 10 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. 35 1986 Orthogonal polynomials and singular Sturm-Liouville systems. I. Zbl 0614.33013 Littlejohn, Lance L.; Krall, Allan M. 18 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. 52 1982 Nonclassical orthogonal polynomials as solutions to second order differential equations. Zbl 0445.33016 Littlejohn, Lance L.; Shore, Samuel D. 10 1982 ...and 1 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 447 Authors 58 Littlejohn, Lance L. 29 Kwon, Kil Hyun 29 Marcellán Español, Francisco 25 Durán, Antonio José 21 Everitt, William Norrie 18 Piñar, Miguel A. 17 Pérez, Teresa E. 16 Markett, Clemens 14 Gesztesy, Fritz 13 Wellman, Richard 12 Sharapudinov, Idris Idrisovich 11 Lam, Nguyen 11 Nguyen Tuan Duy 10 Fernández, Lidia 10 Rodríguez García, José Manuel 9 Merca, Mircea 8 Álvarez-Nodarse, Renato 7 Álvarez de Morales, María 7 Domínguez de la Iglesia, Manuel 7 Frymark, Dale 7 Liaw, Constanze 7 Milson, Robert 7 Pang, Michael M. H. 6 Gómez-Ullate, David 6 Krall, Allan M. 6 Marriaga, Misael E. 6 Michael, Isaac B. 6 Moreno-Balcázar, Juan José 6 Osilenker, Boris P. 6 Zhedanov, Alexei S. 5 Area, Iván 5 Branquinho, Amílcar José Pinto Lopes 5 García-Ardila, Juan Carlos 5 García-Caballero, Esther M. 5 Loureiro, Ana Filipa 5 Maroni, Pascal 5 Moreno, Samuel G. 5 Quintana, Yamilet 5 Zagorodnyuk, Sergey Mihaylovich 4 Bavinck, Herman 4 Delgado, Antonia M. 4 García, Antonio G. 4 Godoy, Eduardo Paciência 4 Hernández-Medina, Miguel Ángel 4 Iliev, Plamen 4 Kamran, Niky 4 Koekoek, Roelof 4 Lu, Guozhen 4 Nichols, Roger 4 Phi, Le Long 4 Portilla, Ana 4 Tharwat, Mohammed M. 4 Touris, Eva 4 Vinet, Luc 4 Xu, Yuan 4 Zettl, Anton 3 Alfaro García, Manuel 3 Arvesú, Jorge 3 Awonusika, Richard Olu 3 Belmehdi, Said 3 Bruder, Andrea 3 Derevyagin, Maxim S. 3 Estrada, Ricardo 3 Evans, William Desmond 3 Gawronski, Wolfgang 3 Grünbaum, Francisco Alberto 3 Khorozov, Emil Ivanov 3 Kanwal, Ram Prakash 3 Koekoek, Jan 3 Lin, Zhicong 3 Ma, Jun 3 Mendes, Ana 3 Nonlaopon, Kamsing 3 Quesne, Christiane 3 Rezola, María Luisa 3 Ronveaux, André 3 Sezer, Mehmet 3 Simanek, Brian Z. 3 Stanfill, Jonathan 3 Verde-Star, Luis 3 Yeh, Yeong-Nan 3 Zeng, Jiang 2 Altinisik, Nihat 2 Andrews, George Eyre 2 Azad, Hassan 2 Blake Allan, S. 2 Brown, B. Malcolm 2 Cakić, Nenad P. 2 Caruntu, Dumitru I. 2 Cooke, Kenneth L. 2 Costas-Santos, Roberto S. 2 Dominici, Diego Ernesto 2 Driver, Kathy A. 2 Du, Zhibin 2 El-Desouky, Beih S. 2 Foulquié Moreno, Ana Pilar 2 Gadzhieva, Zul’fiya Dzhamaldinovna 2 Galvin, David J. 2 García-Ferrero, Maria Ángeles 2 Guadalupe Hernández, José Javier (Chicho) ...and 347 more Authors all top 5 Cited in 142 Serials 67 Journal of Computational and Applied Mathematics 39 Journal of Approximation Theory 37 Journal of Mathematical Analysis and Applications 20 Integral Transforms and Special Functions 12 Proceedings of the American Mathematical Society 12 Linear Algebra and its Applications 9 Numerical Algorithms 8 Journal of Differential Equations 7 Rocky Mountain Journal of Mathematics 7 Applied Mathematics and Computation 7 Results in Mathematics 7 Constructive Approximation 6 Applicable Analysis 6 Journal of Mathematical Physics 6 Annali di Matematica Pura ed Applicata. 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Zeitschrift für angewandte Mathematik und Physik 1 Mathematics of Computation 1 Acta Scientiarum Mathematicarum 1 Advances in Mathematics 1 Archiv der Mathematik 1 Calcolo 1 Canadian Journal of Mathematics 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 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 Applications of Mathematics 1 Annals of Physics 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) ...and 42 more Serials all top 5 Cited in 46 Fields 264 Special functions (33-XX) 157 Harmonic analysis on Euclidean spaces (42-XX) 150 Ordinary differential equations (34-XX) 74 Operator theory (47-XX) 50 Functional analysis (46-XX) 41 Number theory (11-XX) 40 Combinatorics (05-XX) 38 Partial differential equations (35-XX) 36 Real functions (26-XX) 29 Approximations and expansions (41-XX) 25 Numerical analysis (65-XX) 17 Linear and multilinear algebra; matrix theory (15-XX) 14 Difference and functional equations (39-XX) 12 Functions of a complex variable (30-XX) 12 Information and communication theory, circuits (94-XX) 11 Quantum theory (81-XX) 8 Integral transforms, operational calculus (44-XX) 8 Probability theory and stochastic processes (60-XX) 5 Field theory and polynomials (12-XX) 4 Dynamical systems and ergodic theory (37-XX) 3 Nonassociative rings and algebras (17-XX) 3 Potential theory (31-XX) 3 Statistics (62-XX) 3 Computer science (68-XX) 3 Mechanics of particles and systems (70-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 Convex and discrete geometry (52-XX) 2 Differential geometry (53-XX) 2 Biology and other natural sciences (92-XX) 2 Systems theory; control (93-XX) 1 General and overarching topics; collections (00-XX) 1 Mathematical logic and foundations (03-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 Commutative algebra (13-XX) 1 Measure and integration (28-XX) 1 Sequences, series, summability (40-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Mechanics of deformable solids (74-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) Citations by Year