Schwarz%20reflection%20principle
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1: 1.10 Functions of a Complex Variable
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Schwarz Reflection Principle
… ►Then can be continued analytically across by reflection, that is, … ►Phase (or Argument) Principle
… ►§1.10(v) Maximum-Modulus Principle
… ►Schwarz’s Lemma
…2: 20 Theta Functions
Chapter 20 Theta Functions
…3: 1.7 Inequalities
4: Bibliography G
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Algorithm 726: ORTHPOL — a package of routines for generating orthogonal polynomials and Gauss-type quadrature rules.
ACM Trans. Math. Software 20 (1), pp. 21–62.
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Algorithm 939: computation of the Marcum Q-function.
ACM Trans. Math. Softw. 40 (3), pp. 20:1–20:21.
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Mutual integrability, quadratic algebras, and dynamical symmetry.
Ann. Phys. 217 (1), pp. 1–20.
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Superstring Theory: Introduction, Vol. 1.
2nd edition, Cambridge Monographs on Mathematical Physics, Cambridge University Press, Cambridge.
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Superstring Theory: Loop Amplitudes, Anomalies and Phenomenolgy, Vol. 2.
2nd edition, Cambridge Monographs on Mathematical Physics, Cambridge University Press, Cambridge.
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5: 10.11 Analytic Continuation
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6: Bibliography F
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Sur certaines sommes des intégral-cosinus.
Bull. Soc. Math. Phys. Serbie 12, pp. 13–20 (French).
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Tables of Elliptic Integrals of the First, Second, and Third Kind.
Technical report
Technical Report ARL 64-232, Aerospace Research Laboratories, Wright-Patterson Air Force Base, Ohio.
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Transverse cusp diffraction catastrophes produced by the reflection of ultrasonic tone bursts from a curved surface in water.
J. Acoust. Soc. Amer. 92 (5), pp. 2869–2877.
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On weighted polynomial approximation on the whole real axis.
Acta Math. Acad. Sci. Hungar. 20, pp. 223–225.
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7: 8 Incomplete Gamma and Related
Functions
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8: 28 Mathieu Functions and Hill’s Equation
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9: 8.26 Tables
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Khamis (1965) tabulates for , to 10D.
Abramowitz and Stegun (1964, pp. 245–248) tabulates for , to 7D; also for , to 6S.
Pagurova (1961) tabulates for , to 4-9S; for , to 7D; for , to 7S or 7D.
Zhang and Jin (1996, Table 19.1) tabulates for , to 7D or 8S.
10: 23 Weierstrass Elliptic and Modular
Functions
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