Legendre polynomials, Legendre–Stirling numbers, and the left-definite spectral analysis of the Legendre differential expression

W. N. Everitt, Lance L. Littlejohn, R. Wellman

Type: Article

Publication Date: 2002-10-21

Citations: 58

DOI: https://doi.org/10.1016/s0377-0427(02)00582-4

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Locations

Journal of Computational and Applied Mathematics - View

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+	On Jacobi polynomials $${\mathscr {P}}_{k}^{(\alpha ,\beta )}$$ and coefficients $$c_{j}^{\ell }(\alpha ,\beta )$$ $$\left( k\ge 0, \ell =5,6; 1\le j\le \ell ; \alpha ,\beta > -1\right)$$	2020	Richard Olu Awonusika
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+	An asymptotic distribution theory for Eulerian recurrences with applications	2018	Hsien‐Kuei Hwang Hua‐Huai Chern Guan-Huei Duh
+	Jacobi-Stirling polynomials and $P$-partitions	2012	Ira M. Gessel Zhicong Lin Jiang Zeng
+ PDF Chat	Generalized Central Factorial Numbers with Odd Arguments	2020	Youmna H. Zaid F. A. Shiha B. S. El-Desouky
+ PDF Chat	A note on the r-Whitney numbers of Dowling lattices	2013	Mircea Merca
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Works Cited by This (16)

Action	Title	Year	Authors
+	Linear differential operators	1967	M. A. Naĭmark
+	Advanced Combinatorics: The Art of Finite and Infinite Expansions	1974	Louis Comtet J.W. Nienhuys
+	Real and Complex Analysis.	1987	G. A. Garreau Walter Rudin
+ PDF Chat	None	2002	J. Arvesú Lance L. Littlejohn Francisco Marcellán
+	The left-definite spectral theory for the classical Hermite differential equation	2000	W. N. Everitt Lance L. Littlejohn R. Wellman
+	A General Left-Definite Theory for Certain Self-Adjoint Operators with Applications to Differential Equations	2002	Lance L. Littlejohn R. Wellman
+	Singular Sturm-Liouville Problems: The Friedrichs Extension and Comparison of Eigenvalues	1992	Heinz‐Dieter Niessen Anton Zettl
+	On Properties of the Legendre Differential Expression	2002	W. N. Everjtt Lance L. Littlejohn Vojislav Marić
+	Legendre polynomials and singular differential operators	1980	W. N. Everitt
+	Handbook of Mathematical Functions with Formulas, Graphs, and Mathematical Tables	1965	D. B. Owen Milton Abramowitz Irene A. Stegun