Bibliography for Legendre polynomials

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  1. On the interval Legendre polynomials
    Patricio, F.; Ferreira, J.A.; Oliveira, F.
    Journal of Computational and Applied Mathematics, v 154, n 1, May 1, 2003, p 215-227, Compendex.  
  2. Best polynomial approximation in Sobolev-Laguerre and Sobolev-Legendre spaces.  
    Kim, D. H.; Kim, S. H.; Kwon, K. H.; Li, Xin
    Constr. Approx.  18  (2002),  no. 4, 551--568, MathSciNet.  
  3. Acoustic wave propagation in continuous functionally graded plates: An extension of the Legendre polynomial approach
    Lefebvre, J.E.; Zhang, V.; Gazalet, J.; Gryba, T.; Sadaune, V.
    IEEE Transactions on Ultrasonics, Ferroelectrics, and Frequency Control, v 48, n 5, September, 2001, p 1332-1340, Compendex.  
  4. Application of Chebyshev and Legendre polynomials on discrete point set to function interpolation and solving Fredholm integral equations
    Streltsov, I.P.  
    Computer Physics Communications, v 126, n 1, Apr, 2000, p 178-181, Compendex.  
  5. EMG mapping - estimating dipole locations by Legendre polynomial derivatives
    Mirescu, D.; Mathieu, P.A.
    Annual International Conference of the IEEE Engineering in Medicine and Biology - Proceedings, v 1, 1999, p 580, Compendex.  
  6. Curve offsetting based on Legendre series
    Li, Yong-Ming; Hsu, Vivian Y.
    Computer Aided Geometric Design, v 15, n 7, Jul, 1998, p 711-720, Compendex.  
  7. Shape from Shading and Photometric Stereo Using Surface Approximation by Legendre Polynomials
    Kim B.H.; Park R.H.
    Computer Vision and Image Understanding, June 1997, vol. 66, no. 3, pp. 255-270(16), Ingenta.  
  8. Legendre polynomials of the second kind, Fourier series and Lagrange interpolation
    Mastroianni, G.; Occorsio, D.
    Journal of Computational and Applied Mathematics, 28 November 1996, vol. 75, no. 2, pp. 305-327(23), Compendex.  
  9. Minimax approximations to the zeros of Pn(x) and Gauss--Legendre quadrature
    Lether F.G.; Wenston P.R.
    Journal of Computational and Applied Mathematics, 19 May 1995, vol. 59, no. 2, pp. 245-252(8), Ingenta.
  10. Muntz Systems and Orthogonal Muntz-Legendre Polynomials  
    Peter Borwein; Tamas Erdelyi; John Zhang  
    Transactions of the American Mathematical Society > Vol. 342, No. 2 (Apr., 1994), pp. 523-542, Jstor.     
  11. Approximation of linear age-structured population models using legendre polynomials
    Kappel, Franz; Zhang, Kangpei
    Journal of Mathematical Analysis and Applications, v 180, n 2, Dec, 1993, p 518, Compendex.  
  12. Degree of approximation of Hermite-Fejer interpolation based on the zeros of Legendre polynomial and its derivative.
    Zhu, Guo Hua
    Approx. Theory Appl. 6 (1990), no. 1, 32--45, MathSciNet.  
  13. Polynomial and rational approximation to the Legendre function by tau-method.
    Prasad, R. S.; Prasad, Dwarika
    Nepali Math. Sci. Rep. 14 (1989), no. 1-2, 63--71, MathSciNet.  
  14. Lumped and distributed parameter system identification via shifted Legendre polynomials
    Mohan, B.M.; Datta, K.B.
    Journal of Dynamic Systems, Measurement and Control, Transactions ASME, v 110, n 4, Dec, 1988, p 436-440, Compendex.  
  15. Polynomial Nodal Model Using Legendre Expansions  
    Rohach, A. F.  
    Annals of Nuclear Energy, v 13, n 2, 1986, p 57-62, Compendex.  
  16. Optimal Control Of Lumped Parameter Systems Via Shifted Legendre Polynomial Approximation  
    Wang, M. L.; Chang, R. Y.
    Journal of Optimization Theory and Applications, v 45, n 2, Feb, 1985, p 313-324, Compendex.  
  17. Legendre polynomials approximation to dynamic linear state equations with initial or boundary value conditions.
    Chang, Rong Yeu; Wang, Maw Ling
    Internat. J. Control 40 (1984), no. 1, 215--232, MathSciNet.  
  18. Divergent Jacobi Polynomial Series  
    Christopher Meaney  
    Proceedings of the American Mathematical Society > Vol. 87, No. 3 (Mar., 1983), pp. 459-462, Jstor.    
  19. On the Weak Behaviour of Partial Sums of Legendre Series  
    S. Chanillo  
    Transactions of the American Mathematical Society > Vol. 268, No. 2 (Dec., 1981), pp. 367-376, Jstor.   
  20. State-Space Approach To Legendre Series Solutions For Linear Systems  
    Naimpally, M.; Naimpally, S.
    Industrial Mathematics, v 31, n pt 1, 1981, p 21-25, Compendex.  
  21. A method for the approximation of a function and its first derivative by Legendre polynomials and its applications. (Russian)
    Peleh, B. L.; Suhorol'ski, M. A.
    Dokl. Akad. Nauk Ukrain. SSR Ser. A No. 3 (1980), 26--29, 90, MathSciNet.  
  22. A Legendre Polynomial Integral  
    James L. Blue  
    Mathematics of Computation > Vol. 33, No. 146 (Apr., 1979), pp. 739-741, Jstor.      
  23. Computation of Legendre series coefficients  
    Robert Piessens  
    Communications of the ACM, Volume 17,  Issue 1  (January 1974), 25.  
  24. On the Uniform Convergence of Fourier-Jacobi Series  
    J. Prasad; H. Hayashi  
    SIAM Journal on Numerical Analysis > Vol. 10, No. 1 (Mar., 1973), pp. 23-27, Jstor.     
  25. The Convergence Almost Everywhere of Legendre Series  
    Harry Pollard  
    Proceedings of the American Mathematical Society > Vol. 35, No. 2 (Oct., 1972), pp. 442-444, Jstor.    
  26. On the Lagrange interpolation based on the zeros of the orthonormal Legendre polynomials.  
    Róna, G.
    Acta Math. Acad. Sci. Hungar.  20  1969 393--397, MathSciNet.  
  27. On Real Singularities of Legendre Expansions  
    Gilbert Walter  
    Proceedings of the American Mathematical Society > Vol. 19, No. 6 (Dec., 1968), pp. 1407-1412, Jstor.    
  28. On the Stability of Midpoint Smoothing with Legendre Polynomials  
    William F. Trench  
    Proceedings of the American Mathematical Society > Vol. 18, No. 2 (Apr., 1967), pp. 191-199, Jstor.     
  29. The use of associated Legendre polynomials for interpolation.  
    Albasiny, E. L.
    Proc. Cambridge Philos. Soc.  57  1961 288--303, MathSciNet.  
  30. Series of Legendre and Laguerre polynomials  
    V. F. Cowling  
    Duke Math. J.  25 (1958), no. 1, 171--176.  
  31. On a Series of Rainville Involving Legendre Polynomials  
    B. R. Bhonsle  
    Proceedings of the American Mathematical Society > Vol. 8, No. 1 (Feb., 1957), pp. 10-14, Jstor.    
  32. Inverse Transforms of Products of Legendre Transforms  
    R. V. Churchill; C. L. Dolph  
    Proceedings of the American Mathematical Society > Vol. 5, No. 1 (Feb., 1954), pp. 93-100, Jstor.   
  33. Note on a Series of Products of Three Legendre Polynomials  
    John P. Vinti  
    Proceedings of the American Mathematical Society > Vol. 2, No. 1 (Feb., 1951), pp. 19-23, Jstor.   
  34. Associated Legendre polynomial approximations.
    Landauer, R.
    J. Appl. Phys. 22, (1951). 87--89, MathSciNet.  
  35. A Property of the Zeros of Legendre Polynomials  
    A. Zygmund  
    Transactions of the American Mathematical Society > Vol. 54, No. 1 (Jul., 1943), pp. 39-56, Jstor.    
  36. On the Absolute Convergence of Polynomial Series  
    Einar Hille  
    The American Mathematical Monthly > Vol. 45, No. 4 (Apr., 1938), pp. 220-226, Jstor.     
  37. Inequalities for the Zeros of Legendre Polynomials and Related Functions  
    Gabriel Szego  
    Transactions of the American Mathematical Society > Vol. 39, No. 1 (Jan., 1936), pp. 1-17, Jstor.      
  38. Series of Orthogonal Polynomials  
    Dunham Jackson  
    The Annals of Mathematics > 2nd Ser., Vol. 34, No. 3 (Jul., 1933), pp. 527-545, Jstor.      
  39. Developments in Legendre Polynomials  
    M. H. Stone  
    The Annals of Mathematics > 2nd Ser., Vol. 27, No. 4 (Jun., 1926), pp. 315-329, Jstor.       
  40. On the Series of Legendre  
    W. H. Young  
    Proceedings of the Royal Society of London. Series A, Containing Papers of a Mathematical and Physical Character, Vol. 94, No. 660 (Apr., 1918), pp. 292-295, Jstor.  
  41. On the Degree of Convergence of Laplace's Series  
    T. H. Gronwall  
    Transactions of the American Mathematical Society, Vol. 15, No. 1 (Jan., 1914), pp. 1-30, Jstor.   
  42. On the Degree of Convergence of the Development of a Continuous Function According to Legendre's Polynomials  
    Dunham Jackson  
    Transactions of the American Mathematical Society > Vol. 13, No. 3 (Jul., 1912), pp. 305-318, Jstor.    

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

(c) John H. Mathews 2005