Edit Profile (opens in new tab) Littlejohn, Lance L. Compute Distance To: Compute Author ID: littlejohn.lance-l Published as: Littlejohn, L. L.; Littlejohn, Lance L.; Littlejohn, Lance; Littlejohn, L. more...less Documents Indexed: 109 Publications since 1982 Biographic References: 1 Publication Co-Authors: 63 Co-Authors with 100 Joint Publications 1,178 Co-Co-Authors all top 5 Co-Authors 8 single-authored 32 Everitt, William Norrie 23 Kwon, Kil Hyun 15 Wellman, Richard 13 Krall, Allan M. 9 Gesztesy, Fritz 6 Evans, William Desmond 6 Markett, Clemens 4 Gawronski, Wolfgang 4 Michael, Isaac B. 3 Andrews, George Eyre 3 Brown, B. Malcolm 3 Bruder, Andrea 3 Kelly Stewart, Jessica 3 Kirsten, Klaus 3 Liaw, Constanze 3 Pang, Michael M. H. 2 Arvesú, Jorge 2 Ashbaugh, Mark S. 2 Hermi, Lotfi 2 Kalf, Hubert 2 Kanwal, Ram Prakash 2 Loveland, S. M. 2 Marcellán Español, Francisco 2 Neuschel, Thorsten 2 Nichols, Roger 2 Onyango-Otieno, V. P. 2 Race, David 2 Tossounian, Hagop 2 Wicks, Quinn 2 Zettl, Anton 1 Bennewitz, Christer 1 Beynon, Malcolm James 1 Chisholm, R. S. 1 Chuah, Chian Yeong 1 Cichoń, Dariusz 1 Clarke, Francis Willoughby 1 Das, Jyoti 1 Dias, N. G. J. 1 Driver, Kathy A. 1 Egge, Eric S. 1 Elliott, Kenny B. 1 Fucci, Guglielmo 1 García, Antonio G. 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 Milson, Robert 1 Moreno-Balcázar, Juan José 1 Ronveaux, André 1 Shore, Samuel D. 1 Stanfill, Jonathan 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 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 71 Special functions (33-XX) 68 Ordinary differential equations (34-XX) 25 Operator theory (47-XX) 16 Harmonic analysis on Euclidean spaces (42-XX) 10 Number theory (11-XX) 10 Partial differential equations (35-XX) 6 Real functions (26-XX) 5 Combinatorics (05-XX) 5 Functional analysis (46-XX) 3 Approximations and expansions (41-XX) 2 History and biography (01-XX) 2 Measure and integration (28-XX) 2 Difference and functional equations (39-XX) 2 Integral transforms, operational calculus (44-XX) 1 Linear and multilinear algebra; matrix theory (15-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 99 Publications have been cited 1,025 times in 442 Documents Cited by ▼ Year ▼ The Krall polynomials: A new class of orthogonal polynomials. Zbl 0514.33008Littlejohn, Lance L. 49 1982 Jacobi-Stirling numbers, Jacobi polynomials, and the left-definite analysis of the classical Jacobi differential expression. Zbl 1119.33009Everitt, 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 0571.34003Littlejohn, Lance L. 38 1984 Sobolev orthogonal polynomials and second-order differential equations. Zbl 0930.33004Kwon, K. H.; Littlejohn, L. L. 38 1998 On recurrence relations for Sobolev orthogonal polynomials. Zbl 0824.33006Evans, 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 0831.33003Kwon, K. H.; Littlejohn, L. L. 32 1995 An application of a new theorem on orthogonal polynomials and differential equations. Zbl 0605.33010Littlejohn, Lance L. 32 1986 Orthogonal polynomial solutions of linear ordinary differential equations. Zbl 0993.33004Everitt, W. N.; Kwon, K. H.; Littlejohn, L. L.; Wellman, R. 29 2001 The Legendre-Stirling numbers. Zbl 1237.05010Andrews, G. E.; Gawronski, W.; Littlejohn, L. L. 29 2011 A combinatorial interpretation of the Legendre-Stirling numbers. Zbl 1167.05002Andrews, George E.; Littlejohn, Lance L. 28 2009 A general left-definite theory for certain self-adjoint operators with applications to differential equations. Zbl 1008.47029Littlejohn, L. L.; Wellman, R. 27 2002 Legendre polynomials, Legendre–Stirling numbers, and the left-definite spectral analysis of the Legendre differential expression. Zbl 1014.33003Everitt, W. N.; Littlejohn, L. L.; Wellman, R. 26 2002 The Jacobi-Stirling numbers. Zbl 1261.11022Andrews, George E.; Egge, Eric S.; Gawronski, Wolfgang; Littlejohn, Lance L. 25 2013 On the classification of differential equations having orthogonal polynomial solutions. II. Zbl 0643.34002Krall, A. M.; Littlejohn, L. L. 23 1987 Orthogonal polynomials and spectral theory: A survey. Zbl 0837.33002Everitt, W. N.; Littlejohn, L. L. 19 1991 Classification of classical orthogonal polynomials. Zbl 0898.33002Kwon, Kil H.; Littlejohn, Lance L. 19 1997 An integral operator inequality with applications. Zbl 0936.47029Chisholm, R. S.; Everitt, W. N.; Littlejohn, L. L. 17 1999 Characterizations of orthogonal polynomials satisfying differential equations. Zbl 0803.33010Kwon, K. H.; Littlejohn, L. L.; Yoo, B. H. 16 1994 Orthogonal polynomials and singular Sturm-Liouville systems. I. Zbl 0614.33013Littlejohn, 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 1063.33009Everitt, W. N.; Littlejohn, L. L.; Wellman, R. 15 2004 The density of polynomials in a weighted Sobolev space. Zbl 0765.41008Everitt, W. N.; Littlejohn, L. L. 14 1990 Orthogonal polynomials and higher order singular Sturm-Liouville systems. Zbl 0686.33014Littlejohn, Lance L.; Krall, Allan M. 14 1989 On some properties of the Legendre type differential expression. Zbl 0705.33007Everitt, W. N.; Krall, A. M.; Littlejohn, L. L. 14 1990 Orthogonal polynomials in weighted Sobolev spaces. Zbl 0676.33005Everitt, W. N.; Littlejohn, L. L.; Williams, S. C. 14 1989 Distributional solutions of the hypergeometric differential equation. Zbl 0629.34006Littlejohn, L. L.; Kanwal, R. P. 13 1987 Factorizations and Hardy-Rellich-type inequalities. Zbl 1402.35014Gesztesy, Fritz; Littlejohn, Lance 13 2018 Orthogonal polynomials and approximation in Sobolev spaces. Zbl 0796.42020Everitt, W. N.; Littlejohn, L. L.; Williams, S. C. 12 1993 On Birman’s sequence of Hardy-Rellich-type inequalities. Zbl 1384.26043Gesztesy, Fritz; Littlejohn, Lance L.; Michael, Isaac; Wellman, Richard 12 2018 Differential operators and the Legendre type polynomials. Zbl 0727.34021Everitt, W. N.; Littlejohn, L. L. 12 1988 Orthogonal polynomial solutions of spectral type differential equations: Magnus’ conjecture. Zbl 0994.33003Kwon, K. H.; Littlejohn, L. L.; Yoon, G. J. 12 2001 The left-definite spectral theory for the classical Hermite differential equation. Zbl 1091.47506Everitt, W. N.; Littlejohn, L. L.; Wellman, R. 11 2000 On analytic sampling theory. Zbl 1057.44003García, A. G.; Littlejohn, L. L. 11 2004 Symmetric and symmetrisable differential expressions. Zbl 0655.33007Littlejohn, Lance L.; Race, David 11 1990 Nonclassical orthogonal polynomials as solutions to second order differential equations. Zbl 0445.33016Littlejohn, Lance L.; Shore, Samuel D. 10 1982 Asymptotics of Stirling and Chebyshev-Stirling numbers of the second kind. Zbl 1331.11018Gawronski, Wolfgang; Littlejohn, Lance L.; Neuschel, Thorsten 10 2014 Orthogonal polynomial eigenfunctions of second-order partial differential equations. Zbl 0972.33007Kwon, K. H.; Lee, J. K.; Littlejohn, L. L. 9 2001 New characterizations of classical orthogonal polynomials. Zbl 0861.33006Kwon, K. H.; Littlejohn, L. L.; Yoo, B. H. 9 1996 Differential equations having orthogonal polynomial solutions. Zbl 0883.33004Kwon, K. H.; Lee, D. W.; Littlejohn, L. L. 9 1997 Orthogonal polynomial solutions to ordinary and partial differential equations. Zbl 0653.42022Littlejohn, L. L. 9 1988 Symmetry factors for differential equations. Zbl 0548.34008Littlejohn, Lance L. 9 1983 On self-adjoint boundary conditions for singular Sturm-Liouville operators bounded from below. Zbl 1458.34143Gesztesy, Fritz; Littlejohn, Lance L.; Nichols, Roger 9 2020 Radial and logarithmic refinements of Hardy’s inequality. Zbl 1414.35010Gesztesy, 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 1204.34121Everitt, W. N.; Markett, C.; Littlejohn, L. L. 8 2009 Construction of differential operators having Bochner-Krall orthogonal polynomials as eigenfunctions. Zbl 1121.34016Kwon, K. H.; Littlejohn, L. L.; Yoon, G. J. 8 2006 The symmetric form of the Koekoeks’ Laguerre type differential equation. Zbl 0827.33004Everitt, W. N.; Littlejohn, L. L.; Wellman, R. 7 1995 Sobolev orthogonal polynomials and spectral differential equations. Zbl 0846.33008Jung, I. H.; Kwon, K. H.; Lee, D. W.; Littlejohn, L. L. 7 1995 The fourth-order Bessel-type differential equation. Zbl 1053.34013Das, 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 1333.33018Liaw, Constanze; Littlejohn, Lance L.; Milson, Robert; Stewart, Jessica 7 2016 Ghost matrices and a characterization of symmetric Sobolev bilinear forms. Zbl 1214.15016Kwon, K. H.; Littlejohn, Lance L.; Yoon, G. J. 7 2009 Differential operators and Laguerre type polynomials. Zbl 0772.33004Everitt, W. N.; Krall, A. M.; Littlejohn, L. L.; Onyango-Otieno 7 1992 The Legendre polynomials under a left definite energy norm. Zbl 0798.34031Krall, Allan M.; Littlejohn, Lance L. 6 1993 Bochner-Krall orthogonal polynomials. Zbl 1097.42504Kwon, K. H.; Yoon, G. J.; Littlejohn, L. L. 6 2000 On properties of the Legendre differential expression. Zbl 1058.33008Everitt, W. N.; Littlejohn, L. L.; Marić, V. 6 2002 On the asymptotic normality of the Legendre-Stirling numbers of the second kind. Zbl 1360.11048Gawronski, Wolfgang; Littlejohn, Lance L.; Neuschel, Thorsten 6 2015 The Krall polynomials as solutions to a second order differential equation. Zbl 0525.33007Littlejohn, Lance L. 6 1983 Sobolev orthogonal polynomials in two variables and second order partial differential equations. Zbl 1105.33012Lee, Jeong Keun; Littlejohn, L. L. 6 2006 The Laguerre type operator in a left definite Hilbert space. Zbl 0837.34082Krall, Allan M.; Everitt, W. N.; Littlejohn, L. L.; Onyango-Otieno, V. P. 5 1995 Sobolev orthogonal polynomials and second order differential equation. II. Zbl 0910.33003Kwon, 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 0885.34065Everitt, W. N.; Kwon, K. H.; Littlejohn, L. L.; Wellman, R. 5 1997 Distributional solutions of ordinary differential equations. Zbl 0628.34031Krall, Allan M.; Kanwal, R. P.; Littlejohn, L. L. 5 1987 On the right-definite and left-definite spectral theory of the Legendre polynomials. Zbl 1041.33007Arvesú, J.; Littlejohn, L. L.; Marcellán, F. 5 2002 Fourth-order Bessel equation: eigenpackets and a generalized Hankel transform. Zbl 1200.33009Everitt, W. N.; Kalf, H.; Littlejohn, L. L.; Markett, C. 5 2006 Additional spectral properties of the fourth-order Bessel-type differential equation. Zbl 1099.33003Everitt, W. N.; Kalf, H.; Littlejohn, L. L.; Markett, C. 5 2005 On the spectra of left-definite operators. Zbl 1310.47034Littlejohn, 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 1303.33012Liaw, Constanze; Littlejohn, Lance L.; Stewart, Jessica; Wicks, Quinn 5 2015 Properties of the operator domains of the fourth-order Legendre-type differential expressions. Zbl 0803.34014Everitt, W. N.; Littlejohn, L. L.; Loveland, S. M. 4 1994 Some properties of the sixth-order Legendre-type differential expression. Zbl 0805.34025Everitt, W. N.; Littlejohn, L. L.; Loveland, S. M. 4 1993 Differential operator for discrete Gegenbauer-Sobolev orthogonal polynomials: eigenvalues and asymptotics. Zbl 1404.33011Littlejohn, Lance L.; Mañas-Mañas, Juan F.; Moreno-Balcázar, Juan J.; Wellman, Richard 4 2018 Left-definite theory with applications to orthogonal polynomials. Zbl 1237.47025Bruder, Andrea; Littlejohn, Lance L.; Tuncer, Davut; Wellman, R. 4 2010 Differential equations and Sobolev orthogonality. Zbl 0847.33007Jung, 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 1064.33011Lie, J. K.; Littlejohn, L. L.; Yoo, B. H. 4 2004 Sturm-Liouville operators and orthogonal polynomials. Zbl 0629.34027Krall, A. M.; Littlejohn, L. L. 4 1987 Glazman-Krein-Naimark theory, left-definite theory and the square of the Legendre polynomials differential operator. Zbl 1353.47084Littlejohn, Lance L.; Wicks, Quinn 4 2016 Spectral analysis for the exceptional \(X_m\)-Jacobi equation. Zbl 1320.33017Liaw, Constanze; Littlejohn, Lance; Kelly Stewart, Jessica 4 2015 The Legendre equation and its self-adjoint operators. Zbl 1417.34206Littlejohn, Lance L.; Zettl, Anton 4 2011 Symmetry factors for differential equations with applications to orthogonal polynomials. Zbl 0733.33005Littlejohn, L. L. 4 1990 Real orthogonalizing weights for Bessel polynomials. Zbl 0792.33009Evans, W. D.; Everitt, W. N.; Kwon, K. H.; Littlejohn, L. L. 3 1993 Orthogonal polynomials and extensions of Copson’s inequality. Zbl 0814.26009Brown, B. M.; Evans, W. D.; Littlejohn, L. L. 3 1993 On generalized Riesz points. Zbl 1019.47004Harte, Robin; Lee, Woo Young; Littlejohn, Lance L. 3 2002 The left-definite Legendre type boundary problem. Zbl 0735.34026Everitt, W. N.; Littlejohn, L. L.; Williams, S. C. 3 1991 Diagonalizability and symmetrizability of Sobolev-type bilinear forms: a combinatorial approach. Zbl 1300.05321Kim, H. K.; Kwon, K. H.; Littlejohn, L. L.; Yoon, G. J. 3 2014 H. J. S. Smith and the Fermat two squares theorem. Zbl 1029.01006Clarke, 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 0898.26005Benammar, 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 0761.39007Brown, B. M.; Evans, W. D.; Littlejohn, L. L. 2 1992 Nonclassical Jacobi polynomials and Sobolev orthogonality. Zbl 1259.33015Bruder, Andrea; Littlejohn, L. L. 2 2012 Left-definite variations of the classical Fourier expansion theorem. Zbl 1181.47050Littlejohn, L. L.; Zettl, A. 2 2007 A singular sixth order differential equation with orthogonal polynomial eigenfunctions. Zbl 0506.34021Littlejohn, Lance L.; Krall, Allan M. 2 1982 Self-adjoint operators generated from non-Lagrangian symmetric differential equations having orthogonal polynomial eigenfunctions. Zbl 1016.33009Everitt, 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 1426.47003Littlejohn, Lance L.; Wellman, Richard 2 2019 Characterization of classical type orthogonal polynomials. Zbl 0803.33011Kwon, K. H.; Littlejohn, L. L.; Lee, J. K.; Yoo, B. H. 1 1994 A solution to the general Bessel moment problem. Zbl 0858.33004Evans, 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 0856.33007Everitt, W. N.; Littlejohn, L. L.; Wellman, R. 1 1993 Variation of parameters and solutions of composite products of linear differential equations. Zbl 1197.34008Littlejohn, Lance L.; López, José L. 1 2010 The Legendre type operator in a left definite Hilbert space. Zbl 0766.34057Krall, Allan M.; Everitt, W. N.; Littlejohn, L. L. 1 1992 Quasi-separation of the biharmonic partial differential equation. Zbl 1185.35065Everitt, 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 1096.35029Lee, J. K.; Littlejohn, L. L. 1 2006 Foreword: Franciszek Hugon Szafraniec: a scholar of eminence. Zbl 1273.01040Cichoń, Dariusz; Littlejohn, Lance; Stochel, Jan 1 2012 Classical and Sobolev orthogonality of the nonclassical Jacobi polynomials with parameters \(\alpha =\beta =-1\). Zbl 1296.33018Bruder, Andrea; Littlejohn, Lance L. 1 2014 On weighted Hardy-type inequalities. Zbl 1444.26017Chuah, 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 1458.34143Gesztesy, Fritz; Littlejohn, Lance L.; Nichols, Roger 9 2020 On weighted Hardy-type inequalities. Zbl 1444.26017Chuah, 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 1414.35010Gesztesy, F.; Littlejohn, L. L.; Michael, I.; Pang, M. M. H. 8 2019 Self-adjoint operators and the general GKN-EM theorem. Zbl 1426.47003Littlejohn, Lance L.; Wellman, Richard 2 2019 Factorizations and Hardy-Rellich-type inequalities. Zbl 1402.35014Gesztesy, Fritz; Littlejohn, Lance 13 2018 On Birman’s sequence of Hardy-Rellich-type inequalities. Zbl 1384.26043Gesztesy, Fritz; Littlejohn, Lance L.; Michael, Isaac; Wellman, Richard 12 2018 Differential operator for discrete Gegenbauer-Sobolev orthogonal polynomials: eigenvalues and asymptotics. Zbl 1404.33011Littlejohn, 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 1333.33018Liaw, 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 1353.47084Littlejohn, Lance L.; Wicks, Quinn 4 2016 On the asymptotic normality of the Legendre-Stirling numbers of the second kind. Zbl 1360.11048Gawronski, 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 1303.33012Liaw, Constanze; Littlejohn, Lance L.; Stewart, Jessica; Wicks, Quinn 5 2015 Spectral analysis for the exceptional \(X_m\)-Jacobi equation. Zbl 1320.33017Liaw, Constanze; Littlejohn, Lance; Kelly Stewart, Jessica 4 2015 Asymptotics of Stirling and Chebyshev-Stirling numbers of the second kind. Zbl 1331.11018Gawronski, Wolfgang; Littlejohn, Lance L.; Neuschel, Thorsten 10 2014 Diagonalizability and symmetrizability of Sobolev-type bilinear forms: a combinatorial approach. Zbl 1300.05321Kim, 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 1296.33018Bruder, Andrea; Littlejohn, Lance L. 1 2014 The Jacobi-Stirling numbers. Zbl 1261.11022Andrews, George E.; Egge, Eric S.; Gawronski, Wolfgang; Littlejohn, Lance L. 25 2013 On the spectra of left-definite operators. Zbl 1310.47034Littlejohn, Lance L.; Wellman, Richard 5 2013 Nonclassical Jacobi polynomials and Sobolev orthogonality. Zbl 1259.33015Bruder, Andrea; Littlejohn, L. L. 2 2012 Foreword: Franciszek Hugon Szafraniec: a scholar of eminence. Zbl 1273.01040Cichoń, Dariusz; Littlejohn, Lance; Stochel, Jan 1 2012 The Legendre-Stirling numbers. Zbl 1237.05010Andrews, G. E.; Gawronski, W.; Littlejohn, L. L. 29 2011 The Legendre equation and its self-adjoint operators. Zbl 1417.34206Littlejohn, Lance L.; Zettl, Anton 4 2011 Left-definite theory with applications to orthogonal polynomials. Zbl 1237.47025Bruder, Andrea; Littlejohn, Lance L.; Tuncer, Davut; Wellman, R. 4 2010 Variation of parameters and solutions of composite products of linear differential equations. Zbl 1197.34008Littlejohn, Lance L.; López, José L. 1 2010 A combinatorial interpretation of the Legendre-Stirling numbers. Zbl 1167.05002Andrews, George E.; Littlejohn, Lance L. 28 2009 Properties of the solutions of the fourth-order Bessel-type differential equation. Zbl 1204.34121Everitt, W. N.; Markett, C.; Littlejohn, L. L. 8 2009 Ghost matrices and a characterization of symmetric Sobolev bilinear forms. Zbl 1214.15016Kwon, K. H.; Littlejohn, Lance L.; Yoon, G. J. 7 2009 Quasi-separation of the biharmonic partial differential equation. Zbl 1185.35065Everitt, 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 1119.33009Everitt, 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 1181.47050Littlejohn, L. L.; Zettl, A. 2 2007 Construction of differential operators having Bochner-Krall orthogonal polynomials as eigenfunctions. Zbl 1121.34016Kwon, K. H.; Littlejohn, L. L.; Yoon, G. J. 8 2006 Sobolev orthogonal polynomials in two variables and second order partial differential equations. Zbl 1105.33012Lee, Jeong Keun; Littlejohn, L. L. 6 2006 Fourth-order Bessel equation: eigenpackets and a generalized Hankel transform. Zbl 1200.33009Everitt, 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 1096.35029Lee, J. K.; Littlejohn, L. L. 1 2006 Additional spectral properties of the fourth-order Bessel-type differential equation. Zbl 1099.33003Everitt, 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 1063.33009Everitt, W. N.; Littlejohn, L. L.; Wellman, R. 15 2004 On analytic sampling theory. Zbl 1057.44003García, A. G.; Littlejohn, L. L. 11 2004 The fourth-order Bessel-type differential equation. Zbl 1053.34013Das, 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 1064.33011Lie, 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 1008.47029Littlejohn, L. L.; Wellman, R. 27 2002 Legendre polynomials, Legendre–Stirling numbers, and the left-definite spectral analysis of the Legendre differential expression. Zbl 1014.33003Everitt, W. N.; Littlejohn, L. L.; Wellman, R. 26 2002 On properties of the Legendre differential expression. Zbl 1058.33008Everitt, W. N.; Littlejohn, L. L.; Marić, V. 6 2002 On the right-definite and left-definite spectral theory of the Legendre polynomials. Zbl 1041.33007Arvesú, J.; Littlejohn, L. L.; Marcellán, F. 5 2002 On generalized Riesz points. Zbl 1019.47004Harte, Robin; Lee, Woo Young; Littlejohn, Lance L. 3 2002 Orthogonal polynomial solutions of linear ordinary differential equations. Zbl 0993.33004Everitt, W. N.; Kwon, K. H.; Littlejohn, L. L.; Wellman, R. 29 2001 Orthogonal polynomial solutions of spectral type differential equations: Magnus’ conjecture. Zbl 0994.33003Kwon, K. H.; Littlejohn, L. L.; Yoon, G. J. 12 2001 Orthogonal polynomial eigenfunctions of second-order partial differential equations. Zbl 0972.33007Kwon, 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 1016.33009Everitt, 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 1091.47506Everitt, W. N.; Littlejohn, L. L.; Wellman, R. 11 2000 Bochner-Krall orthogonal polynomials. Zbl 1097.42504Kwon, K. H.; Yoon, G. J.; Littlejohn, L. L. 6 2000 An integral operator inequality with applications. Zbl 0936.47029Chisholm, R. S.; Everitt, W. N.; Littlejohn, L. L. 17 1999 H. J. S. Smith and the Fermat two squares theorem. Zbl 1029.01006Clarke, F. W.; Everitt, W. N.; Littlejohn, L. L.; Vorster, S. J. R. 2 1999 Sobolev orthogonal polynomials and second-order differential equations. Zbl 0930.33004Kwon, K. H.; Littlejohn, L. L. 38 1998 A catalogue of HELP and HELP-type integral and series inequalities. Zbl 0898.26005Benammar, 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 0898.33002Kwon, Kil H.; Littlejohn, Lance L. 19 1997 Differential equations having orthogonal polynomial solutions. Zbl 0883.33004Kwon, 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 0885.34065Everitt, W. N.; Kwon, K. H.; Littlejohn, L. L.; Wellman, R. 5 1997 New characterizations of classical orthogonal polynomials. Zbl 0861.33006Kwon, K. H.; Littlejohn, L. L.; Yoo, B. H. 9 1996 Sobolev orthogonal polynomials and second order differential equation. II. Zbl 0910.33003Kwon, K. H.; Lee, D. W.; Littlejohn, L. L. 5 1996 On recurrence relations for Sobolev orthogonal polynomials. Zbl 0824.33006Evans, 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 0831.33003Kwon, K. H.; Littlejohn, L. L. 32 1995 The symmetric form of the Koekoeks’ Laguerre type differential equation. Zbl 0827.33004Everitt, W. N.; Littlejohn, L. L.; Wellman, R. 7 1995 Sobolev orthogonal polynomials and spectral differential equations. Zbl 0846.33008Jung, I. H.; Kwon, K. H.; Lee, D. W.; Littlejohn, L. L. 7 1995 The Laguerre type operator in a left definite Hilbert space. Zbl 0837.34082Krall, Allan M.; Everitt, W. N.; Littlejohn, L. L.; Onyango-Otieno, V. P. 5 1995 Differential equations and Sobolev orthogonality. Zbl 0847.33007Jung, I. H.; Kwon, K. H.; Lee, D. W.; Littlejohn, L. L. 4 1995 Characterizations of orthogonal polynomials satisfying differential equations. Zbl 0803.33010Kwon, K. H.; Littlejohn, L. L.; Yoo, B. H. 16 1994 Properties of the operator domains of the fourth-order Legendre-type differential expressions. Zbl 0803.34014Everitt, W. N.; Littlejohn, L. L.; Loveland, S. M. 4 1994 Characterization of classical type orthogonal polynomials. Zbl 0803.33011Kwon, K. H.; Littlejohn, L. L.; Lee, J. K.; Yoo, B. H. 1 1994 Orthogonal polynomials and approximation in Sobolev spaces. Zbl 0796.42020Everitt, W. N.; Littlejohn, L. L.; Williams, S. C. 12 1993 The Legendre polynomials under a left definite energy norm. Zbl 0798.34031Krall, Allan M.; Littlejohn, Lance L. 6 1993 Some properties of the sixth-order Legendre-type differential expression. Zbl 0805.34025Everitt, W. N.; Littlejohn, L. L.; Loveland, S. M. 4 1993 Real orthogonalizing weights for Bessel polynomials. Zbl 0792.33009Evans, W. D.; Everitt, W. N.; Kwon, K. H.; Littlejohn, L. L. 3 1993 Orthogonal polynomials and extensions of Copson’s inequality. Zbl 0814.26009Brown, B. M.; Evans, W. D.; Littlejohn, L. L. 3 1993 On the completeness of orthogonal polynomials in left-definite Sobolev spaces. Zbl 0856.33007Everitt, W. N.; Littlejohn, L. L.; Wellman, R. 1 1993 Differential operators and Laguerre type polynomials. Zbl 0772.33004Everitt, W. N.; Krall, A. M.; Littlejohn, L. L.; Onyango-Otieno 7 1992 Discrete inequalities, orthogonal polynomials and the spectral theory of difference operators. Zbl 0761.39007Brown, B. M.; Evans, W. D.; Littlejohn, L. L. 2 1992 A solution to the general Bessel moment problem. Zbl 0858.33004Evans, 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 0766.34057Krall, Allan M.; Everitt, W. N.; Littlejohn, L. L. 1 1992 Orthogonal polynomials and spectral theory: A survey. Zbl 0837.33002Everitt, W. N.; Littlejohn, L. L. 19 1991 The left-definite Legendre type boundary problem. Zbl 0735.34026Everitt, W. N.; Littlejohn, L. L.; Williams, S. C. 3 1991 The density of polynomials in a weighted Sobolev space. Zbl 0765.41008Everitt, W. N.; Littlejohn, L. L. 14 1990 On some properties of the Legendre type differential expression. Zbl 0705.33007Everitt, W. N.; Krall, A. M.; Littlejohn, L. L. 14 1990 Symmetric and symmetrisable differential expressions. Zbl 0655.33007Littlejohn, Lance L.; Race, David 11 1990 Symmetry factors for differential equations with applications to orthogonal polynomials. Zbl 0733.33005Littlejohn, L. L. 4 1990 Orthogonal polynomials and higher order singular Sturm-Liouville systems. Zbl 0686.33014Littlejohn, Lance L.; Krall, Allan M. 14 1989 Orthogonal polynomials in weighted Sobolev spaces. Zbl 0676.33005Everitt, W. N.; Littlejohn, L. L.; Williams, S. C. 14 1989 Differential operators and the Legendre type polynomials. Zbl 0727.34021Everitt, W. N.; Littlejohn, L. L. 12 1988 Orthogonal polynomial solutions to ordinary and partial differential equations. Zbl 0653.42022Littlejohn, L. L. 9 1988 On the classification of differential equations having orthogonal polynomial solutions. II. Zbl 0643.34002Krall, A. M.; Littlejohn, L. L. 23 1987 Distributional solutions of the hypergeometric differential equation. Zbl 0629.34006Littlejohn, L. L.; Kanwal, R. P. 13 1987 Distributional solutions of ordinary differential equations. Zbl 0628.34031Krall, Allan M.; Kanwal, R. P.; Littlejohn, L. L. 5 1987 Sturm-Liouville operators and orthogonal polynomials. Zbl 0629.34027Krall, A. M.; Littlejohn, L. L. 4 1987 An application of a new theorem on orthogonal polynomials and differential equations. Zbl 0605.33010Littlejohn, Lance L. 32 1986 Orthogonal polynomials and singular Sturm-Liouville systems. I. Zbl 0614.33013Littlejohn, Lance L.; Krall, Allan M. 16 1986 On the classification of differential equations having orthogonal polynomial solutions. Zbl 0571.34003Littlejohn, Lance L. 38 1984 Symmetry factors for differential equations. Zbl 0548.34008Littlejohn, Lance L. 9 1983 The Krall polynomials as solutions to a second order differential equation. Zbl 0525.33007Littlejohn, Lance L. 6 1983 The Krall polynomials: A new class of orthogonal polynomials. Zbl 0514.33008Littlejohn, Lance L. 49 1982 Nonclassical orthogonal polynomials as solutions to second order differential equations. Zbl 0445.33016Littlejohn, Lance L.; Shore, Samuel D. 10 1982 A singular sixth order differential equation with orthogonal polynomial eigenfunctions. Zbl 0506.34021Littlejohn, Lance L.; Krall, Allan M. 2 1982 all cited Publications top 5 cited Publications 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. 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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. 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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