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Legendre polynomials and singular differential operators

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Ordinary and Partial Differential Equations

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 827))

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References

  1. N.I. Akhiezer and I.M. Glazman. Theory of linear operators in Hilbert space: I and II (Ungar, New York, 1961; translated from the Russian edition).

    MATH  Google Scholar 

  2. A. Erdélyi et al. Higher transcendental functions: I and II (McGraw-Hill, New York, 1953).

    Google Scholar 

  3. W.N. Everitt. Some remarks on a differential expression with an indefinite weight function. Spectral theory and asymptotics of differential equations. 13–28. Mathematical Studies 13, E.M. de Jager (ed), (North-Holland, Amsterdam, 1974).

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  4. M.A. Naimark. Linear differential operators: II (Ungar, New York, 1968; translated from the Russian).

    MATH  Google Scholar 

  5. Å. Pleijel. On Legendre's polynomials New deve lopments in differential equations 175–180. Mathematical Studies 21, W. Eckhaus (ed), (North-Holland, Amsterdam, 1976).

    Google Scholar 

  6. Å. Pleijel. On the boundary condition for the Legendre polynomials. Annales Academiae Scientiarum Fennicae; Series A.I. Mathematica 2, 1976, 397–408.

    MathSciNet  MATH  Google Scholar 

  7. E.C. Titchmarsh. On expensions in eigenfunctions II. Quart. J. Math. (Oxford) 11, 1940, 129–140.

    Article  MathSciNet  MATH  Google Scholar 

  8. E.C. Titchmarsh. Eigenfunction expansions associated with second-order differential equations; I (Clarendon Press, Oxford, 1962).

    MATH  Google Scholar 

  9. E.T. Whittaker and G.N. Watson. A course of modern analysis (University Press, Cambridge, 1927).

    MATH  Google Scholar 

  10. F.V. Atkinson, W.N. Everitt and K.S. Ong. On the m-coefficient of Weyl for a differential equation with an indefinite weight function. Proc. London Math. Soc. (3) 29 (1974), 368–384.

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Authors
  1. WN Everitt
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W. N. Everitt

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© 1980 Springer-Verlag

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Everitt, W. (1980). Legendre polynomials and singular differential operators. In: Everitt, W.N. (eds) Ordinary and Partial Differential Equations. Lecture Notes in Mathematics, vol 827. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0091375

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  • DOI: https://doi.org/10.1007/BFb0091375

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-10252-6

  • Online ISBN: 978-3-540-38346-8

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