removable%20discontinuity
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1: 1.4 Calculus of One Variable
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►A removable singularity of at occurs when but is undefined.
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►A simple discontinuity of at occurs when and exist, but .
…For an example, see Figure 1.4.1
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Stieltjes Measure with Discontinuous
…2: 20 Theta Functions
Chapter 20 Theta Functions
…3: Viewing DLMF Interactive 3D Graphics
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►Any installed VRML or X3D browser should be removed before installing a new one.
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4: 5.11 Asymptotic Expansions
5: 11.6 Asymptotic Expansions
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6: 5.10 Continued Fractions
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7: 25.11 Hurwitz Zeta Function
8: Bibliography W
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The Nahm equations, finite-gap potentials and Lamé functions.
J. Phys. A 20 (10), pp. 2679–2683.
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Smoothing of Stokes’s discontinuity for the generalized Bessel function. II.
Proc. Roy. Soc. London Ser. A 455, pp. 3065–3084.
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Smoothing of Stokes’s discontinuity for the generalized Bessel function.
Proc. Roy. Soc. London Ser. A 455, pp. 1381–1400.
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9: 17.5 Functions
10: Errata
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Subsection 14.3(iv)
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Equation (5.11.14)
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Section 36.1 Special Notation
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Equation (25.2.4)
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References
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A sentence was added at the end of this subsection indicating that from (15.9.15), it follows that and are removable singularities.
The previous constraint was removed, see Fields (1966, (3)).
The entry for to represent complex conjugation was removed (see Version 1.0.19).
The original constraint, , was removed because, as stated after (25.2.1), is meromorphic with a simple pole at , and therefore is an entire function.
Suggested by John Harper.