Table of Contents: “...Graph complexes and Cutkosky rules -- Differential equations and dispersion relations for Feynman amplitudes with elliptic functions -- Elliptic integrals and the two-loop ttbar production in QCD -- Solutions of 2nd and 3rd order differential equations...”

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Table of Contents: “... Function -- 7. Coulomb Wave Functions -- 8. Hypergeometric Functions -- 9. J Functions -- 10. Jacobi Elliptic Functions -- 11. Elliptic Integrals -- 12. Weierstraß Functions -- 13. Parabolic Cylinder Functions -- 14. Mathieu Functions -- 15. Orthogonal...”

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Table of Contents: “...Short Historical Introduction -- Curva Elastica -- The Curva Elastica, a Curve of Least Energy -- From Euler to Lagrange -- Laplace and the Capillary - 1807 -- A Final Application in Elasticity with Jacobi Elliptic Functions -- Short List of Jacobi...”

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Table of Contents: “... of the elliptic functions. D. Basic introduction to the Nevanlinna theory. E. The bilinear formalism. F. Algorithm for computing the Laurent series. Index....”

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Table of Contents: “...Weierstrass Elliptic Function -- Weierstrass Quasi-periodic Functions -- Real Solutions of Weierstrass Equation -- Applications in Classical Mechanics -- Applications in Quantum Mechanics -- Epilogue and Projects for the Advanced Reader....”

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Subject (ZB): “...Elliptic functions....”

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Subject (ZB): “...elliptic function...”

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Subject (ZB): “...Elliptic functions....”

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Table of Contents: “... theory; 23. Conformal quantization; 24. Lagrangian quantization; 25. Bootstrap quantization; 26. UV-IR relation; 27. Exact finite volume description from XXZ; 28. Two-dimensional Coulomb gas; Appendix A. Spin and spin operators on chain; Appendix B. Elliptic...”

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Subject (ZB): “...Elliptic functions....”

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Subject (ZB): “...Elliptic functions....”

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Subject (ZB): “...Elliptic functions....”

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Table of Contents: “... periodic systems and Floquet's solution -- Appendix E : Elliptic integrals and elliptic functions....”

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Subject (ZB): “...Elliptic functions....”

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Table of Contents: “... Waves -- 12. Korteweg—de Vries Equation and Solitons -- 13. Basic Soliton Theory of KdV Equation -- 14. Other Ubiquitous Soliton Equations -- 15. Spatio-Temporal Patterns -- 16. Nonlinear Dynamics: From Theory to Technology -- A. Elliptic Functions...”

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Table of Contents: “... and/or Integrable Many-Body Problems in the Plane, Obtained by Complexification -- Many-Body Systems in Ordinary (Three-Dimensional) Space: Solvable, Integrable, Linearizable Problems -- Appendices: A: Elliptic Functions -- B: Functional Equations -- C: Hermite...”

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Table of Contents: “...Bailey’s transform, lemma, chains and tree -- Riemann-Hilbert problems for multiple orthogonal polynomials -- Flowers which we cannot yet see growing in Ramanujan’s garden of hypergeometric series, elliptic functions and q’s -- Orthogonal rational...”

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Table of Contents: “... Elliptic Integrals and Functions -- A.2.1 Elliptic Integrals -- A.2.2 Elliptic Functions -- A.2.3 Results Required for Chapter 8 -- A.3 The Water Molecule and Hydrogen Bonding -- A.4 Results for the Six-Vertex Model -- A.4.1 The Proof of I -- A.4.2 The Proof...”

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