List of Figures
- 1 Algebraic and Analytic Methods
- 2 Asymptotic Approximations
- 3 Numerical Methods
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4 Elementary Functions
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- 4.3.2 Conformal mapping of exponential and logarithm.…
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- 4.15.7 Conformal mapping of sine and inverse…
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- 4.23.1 Branch cuts for the inverse trigonometric…
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- 4.37.1 Branch cuts for the inverse hyperbolic…
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- 5 Gamma Function
- 6 Exponential, Logarithmic, Sine, and Cosine Integrals
- 7 Error Functions, Dawson’s and Fresnel Integrals
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8 Incomplete Gamma and Related Functions
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- 9 Airy and Related Functions
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10 Bessel Functions
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11 Struve and Related Functions
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- 12 Parabolic Cylinder Functions
- 13 Confluent Hypergeometric Functions
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14 Legendre and Related Functions
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- 15 Hypergeometric Function
- 16 Generalized Hypergeometric Functions & Meijer G-Function
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18 Orthogonal Polynomials
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- 19 Elliptic Integrals
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20 Theta Functions
- 20.2.1 Fundamental parallelogram.
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- 21 Multidimensional Theta Functions
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22 Jacobian Elliptic Functions
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- 22.4.1 Poles, zeros of the principal Jacobian…
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23 Weierstrass Elliptic and Modular Functions
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- 24 Bernoulli and Euler Polynomials
- 25 Zeta and Related Functions
- 26 Combinatorial Analysis
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28 Mathieu Functions and Hill’s Equation
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29 Lamé Functions
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30 Spheroidal Wave Functions
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- 32 Painlevé Transcendents
- 33 Coulomb Functions
- 34 3j, 6j, 9j Symbols
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36 Integrals with Coalescing Saddles
- 36.3.1 Modulus of Pearcey integral .
- 36.3.2 Modulus of swallowtail canonical integral function…
- 36.3.3 Modulus of swallowtail canonical integral function…
- 36.3.4 Modulus of swallowtail canonical integral function…
- 36.3.5 Modulus of swallowtail canonical integral function…
- 36.3.6 Modulus of elliptic umbilic canonical integral…
- 36.3.7 Modulus of elliptic umbilic canonical integral…
- 36.3.8 Modulus of elliptic umbilic canonical integral…
- 36.3.9 Modulus of hyperbolic umbilic canonical integral…
- 36.3.10 Modulus of hyperbolic umbilic canonical integral…
- 36.3.11 Modulus of hyperbolic umbilic canonical integral…
- 36.3.12 Modulus of hyperbolic umbilic canonical integral…
- 36.3.13 Phase of Pearcey integral .
- 36.3.14 Density plots of phase of swallowtail…
- 36.3.15 Phase of elliptic umbilic canonical integral…
- 36.3.16 Phase of elliptic umbilic canonical integral…
- 36.3.17 Phase of elliptic umbilic canonical integral…
- 36.3.18 Phase of hyperbolic umbilic canonical integral…
- 36.3.19 Phase of hyperbolic umbilic canonical integral…
- 36.3.20 Phase of hyperbolic umbilic canonical integral…
- 36.3.21 Phase of hyperbolic umbilic canonical integral…
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