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11: Bibliography L
  • E. Landau (1953) Handbuch der Lehre von der Verteilung der Primzahlen. 2 Bände. Chelsea Publishing Co., New York (German).
  • O. Lehto and K. I. Virtanen (1973) Quasiconformal Mappings in the Plane. 2nd edition, Springer-Verlag, New York.
  • 12: 27.2 Functions
    (See Gauss (1863, Band II, pp. 437–477) and Legendre (1808, p. 394).) …
    13: 18.38 Mathematical Applications
    SUSY leads to algebraic simplifications in generating excited states, and partner potentials with closely related energy spectra, from knowledge of a single ground state wave function. …
    14: 18.39 Applications in the Physical Sciences
    Brief mention of non-unit normalized solutions in the case of mixed spectra appear, but as these solutions are not OP’s details appear elsewhere, as referenced. … An important, and perhaps unexpected, feature of the EOP’s is now pointed out by noting that for 1D Schrödinger operators, or equivalent Sturm-Liouville ODEs, having discrete spectra with L 2 eigenfunctions vanishing at the end points, in this case ± see Simon (2005c, Theorem 3.3, p. 35), such eigenfunctions satisfy the Sturm oscillation theorem. … Namely for fixed l the infinite set labeled by p describe only the L 2 bound states for that single l , omitting the continuum briefly mentioned below, and which is the subject of Chapter 33, and so an unusual example of the mixed spectra of §1.18(viii). …
    15: Bibliography G
  • C. F. Gauss (1863) Werke. Band II. pp. 436–447 (German).
  • 16: 3.7 Ordinary Differential Equations
    Let 𝐀 P be the ( 2 P ) × ( 2 P + 2 ) band matrix …
    17: Bibliography R
  • H. Rademacher (1973) Topics in Analytic Number Theory. Springer-Verlag, New York.
  • 18: Bibliography C
  • E. U. Condon and G. H. Shortley (1935) The Theory of Atomic Spectra. Cambridge University Press, Cambridge.
  • 19: Bibliography
  • M. M. Agrest and M. S. Maksimov (1971) Theory of Incomplete Cylindrical Functions and Their Applications. Springer-Verlag, Berlin.
  • 20: Bibliography K
  • K. Knopp (1964) Theorie und Anwendung der unendlichen Reihen. 4th edition, Die Grundlehren der mathematischen Wissenschaften, Band 2, Springer-Verlag, Berlin-Heidelberg (German).