Arvesú, J.; Driver, K.; Littlejohn, L. L. Zeros of Jacobi and ultraspherical polynomials. (English) Zbl 07695121 Ramanujan J. 61, No. 2, 629-648 (2023). MSC: 33C45 42C05 26C10 12D10 PDFBibTeX XMLCite \textit{J. Arvesú} et al., Ramanujan J. 61, No. 2, 629--648 (2023; Zbl 07695121) Full Text: DOI arXiv
Gesztesy, Fritz; Littlejohn, Lance L.; Piorkowski, Mateusz; Stanfill, Jonathan The Jacobi operator on \((-1,1)\) and its various \(m\)-functions. arXiv:2307.12164 Preprint, arXiv:2307.12164 [math.CA] (2023). MSC: 33C45 34B09 34B24 34C10 34L40 34B20 34B30 BibTeX Cite \textit{F. Gesztesy} et al., ``The Jacobi operator on $(-1,1)$ and its various $m$-functions'', Preprint, arXiv:2307.12164 [math.CA] (2023) Full Text: arXiv OA License
Arvesú, J.; Driver, K.; Littlejohn, L. Interlacing of zeros of Laguerre polynomials of equal and consecutive degree. (English) Zbl 1491.33008 Integral Transforms Spec. Funct. 32, No. 5-8, 346-360 (2021). Reviewer: Małgorzata Michalska (Lublin) MSC: 33C45 PDFBibTeX XMLCite \textit{J. Arvesú} et al., Integral Transforms Spec. Funct. 32, No. 5--8, 346--360 (2021; Zbl 1491.33008) Full Text: DOI arXiv
Elliott, K.; Littlejohn, L. L.; Wellman, R. Spectral analysis of the sixth-order Krall differential expression. (English) Zbl 1481.47036 Adv. Oper. Theory 5, No. 3, 1078-1099 (2020). Reviewer: Bilender P. Allahverdiev (Isparta) MSC: 47B25 33C65 34B30 34B20 47B65 PDFBibTeX XMLCite \textit{K. Elliott} et al., Adv. Oper. Theory 5, No. 3, 1078--1099 (2020; Zbl 1481.47036) Full Text: DOI arXiv
Littlejohn, Lance L.; Wellman, Richard Self-adjoint operators and the general GKN-EM theorem. (English) Zbl 1426.47003 Oper. Matrices 13, No. 3, 667-704 (2019). MSC: 47B25 33C45 PDFBibTeX XMLCite \textit{L. L. Littlejohn} and \textit{R. Wellman}, Oper. Matrices 13, No. 3, 667--704 (2019; Zbl 1426.47003) Full Text: DOI
Littlejohn, Lance L.; Mañas-Mañas, Juan F.; Moreno-Balcázar, Juan J.; Wellman, Richard Differential operator for discrete Gegenbauer-Sobolev orthogonal polynomials: eigenvalues and asymptotics. (English) Zbl 1404.33011 J. Approx. Theory 230, 32-49 (2018). Reviewer: Thomas Ernst (Uppsala) MSC: 33C47 42C05 PDFBibTeX XMLCite \textit{L. L. Littlejohn} et al., J. Approx. Theory 230, 32--49 (2018; Zbl 1404.33011) Full Text: DOI arXiv
Littlejohn, Lance L.; Wicks, Quinn Glazman-Krein-Naimark theory, left-definite theory and the square of the Legendre polynomials differential operator. (English) Zbl 1353.47084 J. Math. Anal. Appl. 444, No. 1, 1-24 (2016). MSC: 47E05 34B20 33C45 PDFBibTeX XMLCite \textit{L. L. Littlejohn} and \textit{Q. Wicks}, J. Math. Anal. Appl. 444, No. 1, 1--24 (2016; Zbl 1353.47084) Full Text: DOI arXiv
Liaw, Constanze; Littlejohn, Lance L.; Milson, Robert; Stewart, Jessica The spectral analysis of three families of exceptional Laguerre polynomials. (English) Zbl 1333.33018 J. Approx. Theory 202, 5-41 (2016). Reviewer: Chrysoula G. Kokologiannaki (Patras) MSC: 33C45 34B24 42C05 33C47 47B25 PDFBibTeX XMLCite \textit{C. Liaw} et al., J. Approx. Theory 202, 5--41 (2016; Zbl 1333.33018) Full Text: DOI
Liaw, Constanze; Littlejohn, Lance; Kelly Stewart, Jessica Spectral analysis for the exceptional \(X_m\)-Jacobi equation. (English) Zbl 1320.33017 Electron. J. Differ. Equ. 2015, Paper No. 194, 10 p. (2015). MSC: 33C45 34B24 33C47 34L05 PDFBibTeX XMLCite \textit{C. Liaw} et al., Electron. J. Differ. Equ. 2015, Paper No. 194, 10 p. (2015; Zbl 1320.33017) Full Text: arXiv EMIS
Liaw, Constanze; Littlejohn, Lance L.; Stewart, Jessica; Wicks, Quinn A spectral study of the second-order exceptional \(X_1\)-Jacobi differential expression and a related non-classical Jacobi differential expression. (English) Zbl 1303.33012 J. Math. Anal. Appl. 422, No. 1, 212-239 (2015). Reviewer: Chrysoula G. Kokologiannaki (Patras) MSC: 33C45 34A30 PDFBibTeX XMLCite \textit{C. Liaw} et al., J. Math. Anal. Appl. 422, No. 1, 212--239 (2015; Zbl 1303.33012) Full Text: DOI arXiv
Kim, H. K.; Kwon, K. H.; Littlejohn, L. L.; Yoon, G. J. Diagonalizability and symmetrizability of Sobolev-type bilinear forms: a combinatorial approach. (English) Zbl 1300.05321 Linear Algebra Appl. 460, 111-124 (2014). MSC: 05E10 11E39 30E05 33C45 PDFBibTeX XMLCite \textit{H. K. Kim} et al., Linear Algebra Appl. 460, 111--124 (2014; Zbl 1300.05321) Full Text: DOI
Bruder, Andrea; Littlejohn, Lance L. Classical and Sobolev orthogonality of the nonclassical Jacobi polynomials with parameters \(\alpha =\beta =-1\). (English) Zbl 1296.33018 Ann. Mat. Pura Appl. (4) 193, No. 2, 431-455 (2014). Reviewer: Chrysoula G. Kokologiannaki (Patras) MSC: 33C45 34B30 47B25 34B20 47B65 PDFBibTeX XMLCite \textit{A. Bruder} and \textit{L. L. Littlejohn}, Ann. Mat. Pura Appl. (4) 193, No. 2, 431--455 (2014; Zbl 1296.33018) Full Text: DOI arXiv
Liaw, Constanze; Littlejohn, Lance L.; Milson, Robert; Stewart, Jessica A New Class of Exceptional Orthogonal Polynomials: The Type III \(X_{m}\)-Laguerre Polynomials And The Spectral Analysis of Three Types of Exceptional Laguerre Polynomials. arXiv:1407.4145 Preprint, arXiv:1407.4145 [math.SP] (2014). MSC: 33C45 34B24 42C05 33C47 47B25 BibTeX Cite \textit{C. Liaw} et al., ``A New Class of Exceptional Orthogonal Polynomials: The Type III $X_{m}$-Laguerre Polynomials And The Spectral Analysis of Three Types of Exceptional Laguerre Polynomials'', Preprint, arXiv:1407.4145 [math.SP] (2014) Full Text: arXiv OA License
Littlejohn, Lance L.; Wellman, Richard On the spectra of left-definite operators. (English) Zbl 1310.47034 Complex Anal. Oper. Theory 7, No. 2, 437-455 (2013). Reviewer: Roger A. Nichols (Chattanooga) MSC: 47B25 47A10 33C45 34B24 34B40 34L05 PDFBibTeX XMLCite \textit{L. L. Littlejohn} and \textit{R. Wellman}, Complex Anal. Oper. Theory 7, No. 2, 437--455 (2013; Zbl 1310.47034) Full Text: DOI
Bruder, Andrea; Littlejohn, L. L. Nonclassical Jacobi polynomials and Sobolev orthogonality. (English) Zbl 1259.33015 Result. Math. 61, No. 3-4, 283-313 (2012). Reviewer: Chrysoula G. Kokologiannaki (Patras) MSC: 33C45 33B30 47B25 34B20 47B65 PDFBibTeX XMLCite \textit{A. Bruder} and \textit{L. L. Littlejohn}, Result. Math. 61, No. 3--4, 283--313 (2012; Zbl 1259.33015) Full Text: DOI
Littlejohn, Lance L.; Zettl, Anton The Legendre equation and its self-adjoint operators. (English) Zbl 1417.34206 Electron. J. Differ. Equ. 2011, Paper No. 69, 33 p. (2011). MSC: 34L10 34L05 33C45 47B25 PDFBibTeX XMLCite \textit{L. L. Littlejohn} and \textit{A. Zettl}, Electron. J. Differ. Equ. 2011, Paper No. 69, 33 p. (2011; Zbl 1417.34206) Full Text: EMIS
Bruder, Andrea; Littlejohn, Lance L.; Tuncer, Davut; Wellman, R. Left-definite theory with applications to orthogonal polynomials. (English) Zbl 1237.47025 J. Comput. Appl. Math. 233, No. 6, 1380-1398 (2010). MSC: 47B25 47B65 33C47 34B30 33C65 34B20 PDFBibTeX XMLCite \textit{A. Bruder} et al., J. Comput. Appl. Math. 233, No. 6, 1380--1398 (2010; Zbl 1237.47025) Full Text: DOI
Andrews, George E.; Littlejohn, Lance L. A combinatorial interpretation of the Legendre-Stirling numbers. (English) Zbl 1167.05002 Proc. Am. Math. Soc. 137, No. 8, 2581-2590 (2009). MSC: 05A05 05A15 33C45 34B24 34L05 47E05 PDFBibTeX XMLCite \textit{G. E. Andrews} and \textit{L. L. Littlejohn}, Proc. Am. Math. Soc. 137, No. 8, 2581--2590 (2009; Zbl 1167.05002) Full Text: DOI
Kwon, K. H.; Littlejohn, Lance L.; Yoon, G. J. Ghost matrices and a characterization of symmetric Sobolev bilinear forms. (English) Zbl 1214.15016 Linear Algebra Appl. 431, No. 1-2, 104-119 (2009). MSC: 15A63 05A15 35A25 PDFBibTeX XMLCite \textit{K. H. Kwon} et al., Linear Algebra Appl. 431, No. 1--2, 104--119 (2009; Zbl 1214.15016) Full Text: DOI
Littlejohn, L. L.; Zettl, A. Left-definite variations of the classical Fourier expansion theorem. (English) Zbl 1181.47050 ETNA, Electron. Trans. Numer. Anal. 27, 124-139 (2007). Reviewer: Michael Perelmuter (Kyïv) MSC: 47F05 34B24 47B25 33C45 PDFBibTeX XMLCite \textit{L. L. Littlejohn} and \textit{A. Zettl}, ETNA, Electron. Trans. Numer. Anal. 27, 124--139 (2007; Zbl 1181.47050) Full Text: EuDML EMIS
Everitt, W. N.; Kwon, K. H.; Littlejohn, L. L.; Wellman, R.; Yoon, G. J. Jacobi-Stirling numbers, Jacobi polynomials, and the left-definite analysis of the classical Jacobi differential expression. (English) Zbl 1119.33009 J. Comput. Appl. Math. 208, No. 1, 29-56 (2007). MSC: 33C65 33C45 11B73 34C14 34L05 PDFBibTeX XMLCite \textit{W. N. Everitt} et al., J. Comput. Appl. Math. 208, No. 1, 29--56 (2007; Zbl 1119.33009) Full Text: DOI
Everitt, W. N.; Kalf, H.; Littlejohn, L. L.; Markett, C. Fourth-order Bessel equation: eigenpackets and a generalized Hankel transform. (English) Zbl 1200.33009 Integral Transforms Spec. Funct. 17, No. 12, 845-862 (2006). MSC: 33C10 34B05 34L05 33C45 34B30 34A25 PDFBibTeX XMLCite \textit{W. N. Everitt} et al., Integral Transforms Spec. Funct. 17, No. 12, 845--862 (2006; Zbl 1200.33009) Full Text: DOI
Lee, Jeong Keun; Littlejohn, L. L. Sobolev orthogonal polynomials in two variables and second order partial differential equations. (English) Zbl 1105.33012 J. Math. Anal. Appl. 322, No. 2, 1001-1017 (2006). Reviewer: Aleksey A. Dovgoshey (Donetsk) MSC: 33C70 35R99 42C05 PDFBibTeX XMLCite \textit{J. K. Lee} and \textit{L. L. Littlejohn}, J. Math. Anal. Appl. 322, No. 2, 1001--1017 (2006; Zbl 1105.33012) Full Text: DOI
Lee, J. K.; Littlejohn, L. L. A construction of real weight functions for certain orthogonal polynomials in two variables. (English) Zbl 1096.35029 J. Math. Anal. Appl. 319, No. 2, 475-493 (2006). Reviewer: Valery V. Karachik (Chelyabinsk) MSC: 35C05 33C50 42C05 35G05 PDFBibTeX XMLCite \textit{J. K. Lee} and \textit{L. L. Littlejohn}, J. Math. Anal. Appl. 319, No. 2, 475--493 (2006; Zbl 1096.35029) Full Text: DOI
Everitt, W. N.; Kalf, H.; Littlejohn, L. L.; Markett, C. Additional spectral properties of the fourth-order Bessel-type differential equation. (English) Zbl 1099.33003 Math. Nachr. 278, No. 12-13, 1538-1549 (2005). Reviewer: Petru A. Cojuhari (Kraków) MSC: 33C10 34B05 34L05 33C45 34B30 34A25 34L40 PDFBibTeX XMLCite \textit{W. N. Everitt} et al., Math. Nachr. 278, No. 12--13, 1538--1549 (2005; Zbl 1099.33003) Full Text: DOI
Lie, J. K.; Littlejohn, L. L.; Yoo, B. H. Orthogonal polynomials satisfying partial differential equations belonging to the basic class. (English) Zbl 1064.33011 J. Korean Math. Soc. 41, No. 6, 1049-1070 (2004). Reviewer: Ram Kishore Saxena (Jodhpur) MSC: 33C50 35P99 PDFBibTeX XMLCite \textit{J. K. Lie} et al., J. Korean Math. Soc. 41, No. 6, 1049--1070 (2004; Zbl 1064.33011) Full Text: DOI
Das, Jyoti; Everitt, W. N.; Hinton, D. B.; Littlejohn, L. L.; Markett, C. The fourth-order Bessel-type differential equation. (English) Zbl 1053.34013 Appl. Anal. 83, No. 4, 325-362 (2004). Reviewer: Vyacheslav Pivovarchik (Odessa) MSC: 34B05 34B30 47B25 47E05 33C10 33C45 34L05 PDFBibTeX XMLCite \textit{J. Das} et al., Appl. Anal. 83, No. 4, 325--362 (2004; Zbl 1053.34013) Full Text: DOI
Everitt, W. N.; Littlejohn, L. L.; Wellman, R. The Sobolev orthogonality and spectral analysis of the Laguerre polynomials \(\{L_{n}^{-k}\}\) for positive integers \(k\). (English) Zbl 1063.33009 J. Comput. Appl. Math. 171, No. 1-2, 199-234 (2004). Reviewer: José L. Lopez (Pamplona) MSC: 33C45 34B24 42C05 34B40 PDFBibTeX XMLCite \textit{W. N. Everitt} et al., J. Comput. Appl. Math. 171, No. 1--2, 199--234 (2004; Zbl 1063.33009) Full Text: DOI
Everitt, W. N.; Littlejohn, L. L.; Marić, V. On properties of the Legendre differential expression. (English) Zbl 1058.33008 Result. Math. 42, No. 1-2, 42-68 (2002). Reviewer: Nácere Hayek (La Laguna) MSC: 33C45 47B25 34B05 47B65 PDFBibTeX XMLCite \textit{W. N. Everitt} et al., Result. Math. 42, No. 1--2, 42--68 (2002; Zbl 1058.33008) Full Text: DOI
Arvesú, J.; Littlejohn, L. L.; Marcellán, F. On the right-definite and left-definite spectral theory of the Legendre polynomials. (English) Zbl 1041.33007 J. Comput. Anal. Appl. 4, No. 4, 363-387 (2002). Reviewer: N. M. Temme (Amsterdam) MSC: 33C45 34B30 47B25 47B65 PDFBibTeX XMLCite \textit{J. Arvesú} et al., J. Comput. Anal. Appl. 4, No. 4, 363--387 (2002; Zbl 1041.33007) Full Text: DOI
Everitt, W. N.; Littlejohn, L. L.; Wellman, R. Legendre polynomials, Legendre–Stirling numbers, and the left-definite spectral analysis of the Legendre differential expression. (English) Zbl 1014.33003 J. Comput. Appl. Math. 148, No. 1, 213-238 (2002). Reviewer: R.S.Dahiya (Ames) MSC: 33C45 PDFBibTeX XMLCite \textit{W. N. Everitt} et al., J. Comput. Appl. Math. 148, No. 1, 213--238 (2002; Zbl 1014.33003) Full Text: DOI
Littlejohn, L. L.; Wellman, R. A general left-definite theory for certain self-adjoint operators with applications to differential equations. (English) Zbl 1008.47029 J. Differ. Equations 181, No. 2, 280-339 (2002). Reviewer: Michael Perelmuter (Kyïv) MSC: 47B25 33C45 PDFBibTeX XMLCite \textit{L. L. Littlejohn} and \textit{R. Wellman}, J. Differ. Equations 181, No. 2, 280--339 (2002; Zbl 1008.47029) Full Text: DOI
Everitt, W. N.; Kwon, K. H.; Lee, J. K.; Littlejohn, L. L.; Williams, S. C. Self-adjoint operators generated from non-Lagrangian symmetric differential equations having orthogonal polynomial eigenfunctions. (English) Zbl 1016.33009 Rocky Mt. J. Math. 31, No. 3, 899-937 (2001). Reviewer: Mithat Idemen (İstanbul) MSC: 33C45 34L10 34L05 34B20 PDFBibTeX XMLCite \textit{W. N. Everitt} et al., Rocky Mt. J. Math. 31, No. 3, 899--937 (2001; Zbl 1016.33009) Full Text: DOI Link
Kwon, K. H.; Littlejohn, L. L.; Yoon, G. J. Orthogonal polynomial solutions of spectral type differential equations: Magnus’ conjecture. (English) Zbl 0994.33003 J. Approximation Theory 112, No. 2, 189-215 (2001). Reviewer: Matthew He (Ft.Lauderdale) MSC: 33C45 34L10 PDFBibTeX XMLCite \textit{K. H. Kwon} et al., J. Approx. Theory 112, No. 2, 189--215 (2001; Zbl 0994.33003) Full Text: DOI
Everitt, W. N.; Kwon, K. H.; Littlejohn, L. L.; Wellman, R. Orthogonal polynomial solutions of linear ordinary differential equations. (English) Zbl 0993.33004 J. Comput. Appl. Math. 133, No. 1-2, 85-109 (2001). Reviewer: Mithat Idemen (İstanbul) MSC: 33C45 34L10 PDFBibTeX XMLCite \textit{W. N. Everitt} et al., J. Comput. Appl. Math. 133, No. 1--2, 85--109 (2001; Zbl 0993.33004) Full Text: DOI
Kwon, K. H.; Lee, J. K.; Littlejohn, L. L. Orthogonal polynomial eigenfunctions of second-order partial differential equations. (English) Zbl 0972.33007 Trans. Am. Math. Soc. 353, No. 9, 3629-3647 (2001). Reviewer: J.Saurer (Regensburg) MSC: 33C50 35P99 PDFBibTeX XMLCite \textit{K. H. Kwon} et al., Trans. Am. Math. Soc. 353, No. 9, 3629--3647 (2001; Zbl 0972.33007) Full Text: DOI
Kwon, K. H.; Yoon, G. J.; Littlejohn, L. L. Bochner-Krall orthogonal polynomials. (English) Zbl 1097.42504 Dunkl, Charles (ed.) et al., Special functions. Proceedings of the international workshop on special functions – asymptotics, harmonic analysis and mathematical physics, Hong Kong, China, June 21–25, 1999. Singapore: World Scientific (ISBN 981-02-4393-6/hbk). 181-193 (2000). MSC: 42C05 34B30 34L10 PDFBibTeX XMLCite \textit{K. H. Kwon} et al., in: Special functions. Proceedings of the international workshop on special functions -- asymptotics, harmonic analysis and mathematical physics, Hong Kong, China, June 21--25, 1999. Singapore: World Scientific. 181--193 (2000; Zbl 1097.42504) Full Text: DOI
Everitt, W. N.; Littlejohn, L. L.; Wellman, R. The left-definite spectral theory for the classical Hermite differential equation. (English) Zbl 1091.47506 J. Comput. Appl. Math. 121, No. 1-2, 313-330 (2000). MSC: 47E05 34B30 33C45 34L05 PDFBibTeX XMLCite \textit{W. N. Everitt} et al., J. Comput. Appl. Math. 121, No. 1--2, 313--330 (2000; Zbl 1091.47506) Full Text: DOI
Chisholm, R. S.; Everitt, W. N.; Littlejohn, L. L. An integral operator inequality with applications. (English) Zbl 0936.47029 J. Inequal. Appl. 3, No. 3, 245-266 (1999). MSC: 47G10 28D10 33C45 PDFBibTeX XMLCite \textit{R. S. Chisholm} et al., J. Inequal. Appl. 3, No. 3, 245--266 (1999; Zbl 0936.47029) Full Text: DOI EuDML
Kwon, K. H.; Littlejohn, L. L. Sobolev orthogonal polynomials and second-order differential equations. (English) Zbl 0930.33004 Rocky Mt. J. Math. 28, No. 2, 547-594 (1998). Reviewer: M.Idemen (İstanbul) MSC: 33C45 PDFBibTeX XMLCite \textit{K. H. Kwon} and \textit{L. L. Littlejohn}, Rocky Mt. J. Math. 28, No. 2, 547--594 (1998; Zbl 0930.33004) Full Text: DOI Link
Kwon, Kil H.; Littlejohn, Lance L. Classification of classical orthogonal polynomials. (English) Zbl 0898.33002 J. Korean Math. Soc. 34, No. 4, 973-1008 (1997). Reviewer: M.Idemen (İstanbul) MSC: 33C45 PDFBibTeX XMLCite \textit{K. H. Kwon} and \textit{L. L. Littlejohn}, J. Korean Math. Soc. 34, No. 4, 973--1008 (1997; Zbl 0898.33002)
Everitt, W. N.; Kwon, K. H.; Littlejohn, L. L.; Wellman, R. On the spectral analysis of the Laguerre polynomials \(\{L_ n^{-k}(x)\}\) for positive integers \(k\). (English) Zbl 0885.34065 Hinton, Don (ed.) et al., Spectral theory and computational methods of Sturm-Liouville problems. Proceedings of the 1996 conference, Knoxville, TN, USA, in conjunction with the 26th Barrett memorial lecture series. New York, NY: Marcel Dekker. Lect. Notes Pure Appl. Math. 191, 251-283 (1997). Reviewer: Y.Kivshar (Canberra) MSC: 34L10 33C45 PDFBibTeX XMLCite \textit{W. N. Everitt} et al., Lect. Notes Pure Appl. Math. 191, 251--283 (1997; Zbl 0885.34065)
Kwon, K. H.; Lee, D. W.; Littlejohn, L. L. Differential equations having orthogonal polynomial solutions. (English) Zbl 0883.33004 J. Comput. Appl. Math. 80, No. 1, 1-16 (1997). Reviewer: M.G.de Bruin (Delft) MSC: 33C45 34L05 PDFBibTeX XMLCite \textit{K. H. Kwon} et al., J. Comput. Appl. Math. 80, No. 1, 1--16 (1997; Zbl 0883.33004) Full Text: DOI
Kwon, K. H.; Littlejohn, L. L.; Yoo, B. H. New characterizations of classical orthogonal polynomials. (English) Zbl 0861.33006 Indag. Math., New Ser. 7, No. 2, 199-213 (1996). Reviewer: M.Idemen (İstanbul) MSC: 33C45 PDFBibTeX XMLCite \textit{K. H. Kwon} et al., Indag. Math., New Ser. 7, No. 2, 199--213 (1996; Zbl 0861.33006) Full Text: DOI
Han, S. S.; Kwon, K. H.; Littlejohn, L. L. Zeros of orthogonal polynomials in certain discrete Sobolev spaces. (English) Zbl 0852.42014 J. Comput. Appl. Math. 67, No. 2, 309-325 (1996). MSC: 42C05 46E35 PDFBibTeX XMLCite \textit{S. S. Han} et al., J. Comput. Appl. Math. 67, No. 2, 309--325 (1996; Zbl 0852.42014) Full Text: DOI
Kwon, K. H.; Lee, D. W.; Littlejohn, L. L. Sobolev orthogonal polynomials and second order differential equation. II. (English) Zbl 0910.33003 Bull. Korean Math. Soc. 33, No. 1, 135-170 (1996). Reviewer: M.Idemen (İstanbul) MSC: 33C45 34B30 42C05 PDFBibTeX XMLCite \textit{K. H. Kwon} et al., Bull. Korean Math. Soc. 33, No. 1, 135--170 (1996; Zbl 0910.33003)
Jung, I. H.; Kwon, K. H.; Lee, D. W.; Littlejohn, L. L. Differential equations and Sobolev orthogonality. (English) Zbl 0847.33007 J. Comput. Appl. Math. 65, No. 1-3, 173-180 (1995). MSC: 33C45 PDFBibTeX XMLCite \textit{I. H. Jung} et al., J. Comput. Appl. Math. 65, No. 1--3, 173--180 (1995; Zbl 0847.33007) Full Text: DOI
Jung, I. H.; Kwon, K. H.; Lee, D. W.; Littlejohn, L. L. Sobolev orthogonal polynomials and spectral differential equations. (English) Zbl 0846.33008 Trans. Am. Math. Soc. 347, No. 9, 3629-3643 (1995). Reviewer: M.Idemen (İstanbul) MSC: 33C45 33E20 34B30 PDFBibTeX XMLCite \textit{I. H. Jung} et al., Trans. Am. Math. Soc. 347, No. 9, 3629--3643 (1995; Zbl 0846.33008) Full Text: DOI
Kwon, K. H.; Littlejohn, L. L. The orthogonality of the Laguerre polynomials \(\{ L_ n^{-k}(x)\}\) for positive integers \(k\). (English) Zbl 0831.33003 Ann. Numer. Math. 2, No. 1-4, 289-303 (1995). Reviewer: R.Szwarc (Wrocław) MSC: 33C45 PDFBibTeX XMLCite \textit{K. H. Kwon} and \textit{L. L. Littlejohn}, Ann. Numer. Math. 2, No. 1--4, 289--303 (1995; Zbl 0831.33003)
Everitt, W. N.; Littlejohn, L. L.; Wellman, R. The symmetric form of the Koekoeks’ Laguerre type differential equation. (English) Zbl 0827.33004 J. Comput. Appl. Math. 57, No. 1-2, 115-121 (1995). Reviewer: R.Szwarc (Wrocław) MSC: 33C45 PDFBibTeX XMLCite \textit{W. N. Everitt} et al., J. Comput. Appl. Math. 57, No. 1--2, 115--121 (1995; Zbl 0827.33004) Full Text: DOI
Evans, W. D.; Littlejohn, Lance L.; Marcellan, Francisco; Markett, Clemens; Ronveaux, Andre On recurrence relations for Sobolev orthogonal polynomials. (English) Zbl 0824.33006 SIAM J. Math. Anal. 26, No. 2, 446-467 (1995). Reviewer: M.G.de Bruin (Delft) MSC: 33C45 28A25 PDFBibTeX XMLCite \textit{W. D. Evans} et al., SIAM J. Math. Anal. 26, No. 2, 446--467 (1995; Zbl 0824.33006) Full Text: DOI
Kwon, K. H.; Littlejohn, L. L.; Yoo, B. H. Characterizations of orthogonal polynomials satisfying differential equations. (English) Zbl 0803.33010 SIAM J. Math. Anal. 25, No. 3, 976-990 (1994). Reviewer: M.Idemen (İstanbul) MSC: 33C45 34A30 PDFBibTeX XMLCite \textit{K. H. Kwon} et al., SIAM J. Math. Anal. 25, No. 3, 976--990 (1994; Zbl 0803.33010) Full Text: DOI
Kwon, K. H.; Littlejohn, L. L.; Lee, J. K.; Yoo, B. H. Characterization of classical type orthogonal polynomials. (English) Zbl 0803.33011 Proc. Am. Math. Soc. 120, No. 2, 485-493 (1994). Reviewer: M.Idemen (İstanbul) MSC: 33C45 34A30 PDFBibTeX XMLCite \textit{K. H. Kwon} et al., Proc. Am. Math. Soc. 120, No. 2, 485--493 (1994; Zbl 0803.33011) Full Text: DOI
Everitt, W. N.; Littlejohn, L. L.; Wellman, R. On the completeness of orthogonal polynomials in left-definite Sobolev spaces. (English) Zbl 0856.33007 Rassias, Th. M. (ed.) et al., Topics in polynomials of one and several variables and their applications. Volume dedicated to the memory of P. L. Chebyshev (1821-1894). Singapore: World Scientific. 173-196 (1993). MSC: 33C45 46E35 PDFBibTeX XMLCite \textit{W. N. Everitt} et al., in: Topics in polynomials of one and several variables and their applications. Volume dedicated to the memory of P. L. Chebyshev (1821-1894). Singapore: World Scientific. 173--196 (1993; Zbl 0856.33007)
Everitt, W. N.; Littlejohn, L. L.; Loveland, S. M. Some properties of the sixth-order Legendre-type differential expression. (English) Zbl 0805.34025 Rend. Mat. Appl., VII. Ser. 13, No. 4, 773-799 (1993). Reviewer: G.Karakostas (Ioannina) MSC: 34B20 41A10 33C45 PDFBibTeX XMLCite \textit{W. N. Everitt} et al., Rend. Mat. Appl., VII. Ser. 13, No. 4, 773--799 (1993; Zbl 0805.34025)
Everitt, W. N.; Littlejohn, L. L.; Williams, S. C. Orthogonal polynomials and approximation in Sobolev spaces. (English) Zbl 0796.42020 J. Comput. Appl. Math. 48, No. 1-2, 69-90 (1993). Reviewer: H.Stahl (Berlin) MSC: 42C30 42C05 33C45 46E35 PDFBibTeX XMLCite \textit{W. N. Everitt} et al., J. Comput. Appl. Math. 48, No. 1--2, 69--90 (1993; Zbl 0796.42020) Full Text: DOI
Brown, B. M.; Evans, W. D.; Littlejohn, L. L. Orthogonal polynomials and extensions of Copson’s inequality. (English) Zbl 0814.26009 J. Comput. Appl. Math. 48, No. 1-2, 33-48 (1993). Reviewer: A.D.Mednykh (Novosibirsk) MSC: 26D10 39A70 42C05 PDFBibTeX XMLCite \textit{B. M. Brown} et al., J. Comput. Appl. Math. 48, No. 1--2, 33--48 (1993; Zbl 0814.26009) Full Text: DOI
Evans, W. D.; Everitt, W. N.; Kwon, K. H.; Littlejohn, L. L. Real orthogonalizing weights for Bessel polynomials. (English) Zbl 0792.33009 J. Comput. Appl. Math. 49, No. 1-3, 51-57 (1993). Reviewer: M.G.de Bruin (Delft) MSC: 33C45 PDFBibTeX XMLCite \textit{W. D. Evans} et al., J. Comput. Appl. Math. 49, No. 1--3, 51--57 (1993; Zbl 0792.33009) Full Text: DOI
Evans, W. D.; Everitt, W. N.; Krall, A. M.; Kwon, K. H.; Littlejohn, L. L. A solution to the general Bessel moment problem. (English) Zbl 0858.33004 Agarwal, R. P. (ed.), Recent trends in differential equations. Singapore: World Scientific Publishing. World Sci. Ser. Appl. Anal. 1, 205-220 (1992). MSC: 33C10 33C45 PDFBibTeX XMLCite \textit{W. D. Evans} et al., World Sci. Ser. Appl. Anal. 1, 205--220 (1992; Zbl 0858.33004)
Brown, B. M.; Evans, W. D.; Littlejohn, L. L. Discrete inequalities, orthogonal polynomials and the spectral theory of difference operators. (English) Zbl 0761.39007 Proc. R. Soc. Lond., Ser. A 437, No. 1900, 355-373 (1992). Reviewer: A.D.Mednykh (Novosibirsk) MSC: 39A70 26D10 44A60 PDFBibTeX XMLCite \textit{B. M. Brown} et al., Proc. R. Soc. Lond., Ser. A 437, No. 1900, 355--373 (1992; Zbl 0761.39007) Full Text: DOI
Everitt, W. N.; Krall, A. M.; Littlejohn, L. L.; Onyango-Otieno Differential operators and Laguerre type polynomials. (English) Zbl 0772.33004 SIAM J. Math. Anal. 23, No. 3, 722-736 (1992). Reviewer: M.Idemen (İstanbul) MSC: 33C45 33C50 34B20 PDFBibTeX XMLCite \textit{W. N. Everitt} et al., SIAM J. Math. Anal. 23, No. 3, 722--736 (1992; Zbl 0772.33004) Full Text: DOI
Everitt, W. N.; Littlejohn, L. L. Orthogonal polynomials and spectral theory: A survey. (English) Zbl 0837.33002 Brezinski, Claude (ed.) et al., Orthogonal polynomials and their applications. Proceedings of the third international symposium held in Erice, Italy, June 1-8, 1990. Basel: J. C. Baltzer, IMACS Ann. Comput. Appl. Math. 9, 21-55 (1991). Reviewer: M.Idemen (İstanbul) MSC: 33-06 33C45 34B24 PDFBibTeX XMLCite \textit{W. N. Everitt} and \textit{L. L. Littlejohn}, IMACS Ann. Comput. Appl. Math. 9, 21--55 (1991; Zbl 0837.33002)
Everitt, W. N.; Littlejohn, L. L.; Williams, S. C. The left-definite Legendre type boundary problem. (English) Zbl 0735.34026 Constructive Approximation 7, No. 4, 485-500 (1991). Reviewer: M.Idemen (İstanbul) MSC: 34B20 33C45 PDFBibTeX XMLCite \textit{W. N. Everitt} et al., Constr. Approx. 7, No. 4, 485--500 (1991; Zbl 0735.34026) Full Text: DOI
Littlejohn, L. L. Symmetry factors for differential equations with applications to orthogonal polynomials. (English) Zbl 0733.33005 Acta Math. Hung. 56, No. 1-2, 57-63 (1990). Reviewer: L.L.Littlejohn MSC: 33C45 42C05 PDFBibTeX XMLCite \textit{L. L. Littlejohn}, Acta Math. Hung. 56, No. 1--2, 57--63 (1990; Zbl 0733.33005) Full Text: DOI
Everitt, W. N.; Krall, A. M.; Littlejohn, L. L. On some properties of the Legendre type differential expression. (English) Zbl 0705.33007 Quaest. Math. 13, No. 1, 83-106 (1990). Reviewer: M.Idemen MSC: 33C45 34B20 PDFBibTeX XMLCite \textit{W. N. Everitt} et al., Quaest. Math. 13, No. 1, 83--106 (1990; Zbl 0705.33007) Full Text: DOI
Littlejohn, Lance L.; Race, David Symmetric and symmetrisable differential expressions. (English) Zbl 0655.33007 Proc. Lond. Math. Soc., III. Ser. 60, No. 2, 344-364 (1990). Reviewer: L.Littlejohn MSC: 33C45 47E05 34L99 47B25 PDFBibTeX XMLCite \textit{L. L. Littlejohn} and \textit{D. Race}, Proc. Lond. Math. Soc. (3) 60, No. 2, 344--364 (1990; Zbl 0655.33007) Full Text: DOI
Littlejohn, Lance L.; Krall, Allan M. Orthogonal polynomials and higher order singular Sturm-Liouville systems. (English) Zbl 0686.33014 Acta Appl. Math. 17, No. 2, 99-170 (1989). Reviewer: M.Idemen MSC: 33C45 34B30 34L99 PDFBibTeX XMLCite \textit{L. L. Littlejohn} and \textit{A. M. Krall}, Acta Appl. Math. 17, No. 2, 99--170 (1989; Zbl 0686.33014) Full Text: DOI
Everitt, W. N.; Littlejohn, L. L.; Williams, S. C. Orthogonal polynomials in weighted Sobolev spaces. (English) Zbl 0676.33005 Orthogonal polynomials and their applications, Proc. Int. Congr., Laredo/Spain 1987, Lect. Notes Pure Appl. Math. 117, 53-72 (1989). Reviewer: M.Idemen MSC: 33C45 42C05 34B30 PDFBibTeX XML
Everitt, W. N.; Littlejohn, L. L. Differential operators and the Legendre type polynomials. (English) Zbl 0727.34021 Differ. Integral Equ. 1, No. 1, 97-116 (1988). Reviewer: M.Idemen (İstanbul) MSC: 34B20 33C45 34B30 PDFBibTeX XMLCite \textit{W. N. Everitt} and \textit{L. L. Littlejohn}, Differ. Integral Equ. 1, No. 1, 97--116 (1988; Zbl 0727.34021)
Littlejohn, L. L. Orthogonal polynomial solutions to ordinary and partial differential equations. (English) Zbl 0653.42022 Orthogonal polynomials and their applications, Proc. Int. Symp., Segovia/Spain 1986, Lect. Notes math. 1329, 98-124 (1988). Reviewer: A.Baskakov MSC: 42C05 34B99 PDFBibTeX XML
Krall, A. M.; Littlejohn, L. L. On the classification of differential equations having orthogonal polynomial solutions. II. (English) Zbl 0643.34002 Ann. Mat. Pura Appl., IV. Ser. 149, 77-102 (1987). MSC: 34A05 34A99 42C05 PDFBibTeX XMLCite \textit{A. M. Krall} and \textit{L. L. Littlejohn}, Ann. Mat. Pura Appl. (4) 149, 77--102 (1987; Zbl 0643.34002) Full Text: DOI
Krall, A. M.; Littlejohn, L. L. Sturm-Liouville operators and orthogonal polynomials. (English) Zbl 0629.34027 Oscillation, bifurcation and chaos, Proc. Annu. Semin., Toronto/Can. 1986, CMS Conf. Proc. 8, 247-260 (1987). Reviewer: D.Robert MSC: 34L99 47E05 34B20 34B30 33C45 PDFBibTeX XML
Krall, Allan M.; Kanwal, R. P.; Littlejohn, L. L. Distributional solutions of ordinary differential equations. (English) Zbl 0628.34031 Oscillation, bifurcation and chaos, Proc. Annu. Semin., Toronto/Can. 1986, CMS Conf. Proc. 8, 227-246 (1987). Reviewer: A.Boucherif MSC: 34B30 33C45 PDFBibTeX XML
Littlejohn, Lance L.; Krall, Allan M. Orthogonal polynomials and singular Sturm-Liouville systems. I. (English) Zbl 0614.33013 Rocky Mt. J. Math. 16, 435-479 (1986). Reviewer: O.Frink MSC: 33C45 34A30 PDFBibTeX XMLCite \textit{L. L. Littlejohn} and \textit{A. M. Krall}, Rocky Mt. J. Math. 16, 435--479 (1986; Zbl 0614.33013) Full Text: DOI
Littlejohn, Lance L. An application of a new theorem on orthogonal polynomials and differential equations. (English) Zbl 0605.33010 Quaest. Math. 10, 49-61 (1986). Reviewer: M.E.Muldoon MSC: 33C45 34A30 42C05 PDFBibTeX XMLCite \textit{L. L. Littlejohn}, Quaest. Math. 10, 49--61 (1986; Zbl 0605.33010) Full Text: DOI
Littlejohn, Lance L. The Krall polynomials as solutions to a second order differential equation. (English) Zbl 0525.33007 Can. Math. Bull. 26, 410-417 (1983). MSC: 33C45 34A30 PDFBibTeX XMLCite \textit{L. L. Littlejohn}, Can. Math. Bull. 26, 410--417 (1983; Zbl 0525.33007) Full Text: DOI
Littlejohn, Lance L. The Krall polynomials: A new class of orthogonal polynomials. (English) Zbl 0514.33008 Quaest. Math. 5, 255-265 (1982). MSC: 33C45 33C55 34A05 34B05 34B30 PDFBibTeX XMLCite \textit{L. L. Littlejohn}, Quaest. Math. 5, 255--265 (1982; Zbl 0514.33008) Full Text: DOI
Littlejohn, Lance L.; Krall, Allan M. A singular sixth order differential equation with orthogonal polynomial eigenfunctions. (English) Zbl 0506.34021 Ordinary and partial differential equations, Proc. 7th Conf., Dundee/Scotl. 1982, Lect. Notes Math. 964, 435-444 (1982). MSC: 34L99 34B20 33C45 42C05 PDFBibTeX XML
Littlejohn, Lance L.; Shore, Samuel D. Nonclassical orthogonal polynomials as solutions to second order differential equations. (English) Zbl 0445.33016 Can. Math. Bull. 25, 291-295 (1982). MSC: 33C45 34A30 PDFBibTeX XMLCite \textit{L. L. Littlejohn} and \textit{S. D. Shore}, Can. Math. Bull. 25, 291--295 (1982; Zbl 0445.33016) Full Text: DOI