Table of Contents: “... Polynomials - General Aspects -- 16. Hermite Polynomials -- 17. Laguerre Polynomials -- 18. Chebychev Polynomials -- 19. Bernoulli and Euler Polynomials -- 20. Riemann Zeta Function -- 21. Piecewise Interpolation Polynomials -- 22. Wigner- and Clebsch-Gordan...”

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Table of Contents: “... Quantification of Coupled 1D Arterial Blood Flow and 3D Tissue Perfusion Models Using the INSIST Framework -- Second Order Moments of Multivariate Hermite Polynomials....”

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Table of Contents: “...Introduction -- Gamma-function -- Riemann zeta-function -- Hermite polynomials -- Bessel functions -- Legendre polynomials and spherical functions -- Hypergeometric functions -- Degenerate hypergeometric function -- Theta-functions....”

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Table of Contents: “...Introduction -- The Use of Hermite Polynomials for the Inverse Problem in One-Dimensional Vlasov-Maxwell Equilibria -- One-Dimensional Nonlinear Force-Free Current Sheets -- One-Dimensional Asymmetric Current Sheets -- Discussion....”

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Table of Contents: “... and integral representations -- The Sheffer classification -- q-series preliminaries -- q-summation theorems -- Some q-orthogonal polynomials -- Exponential and q-Bessel functions -- The Askey-Wilson polynomials -- The Askey-Wilson operators -- q-Hermite polynomials...”

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Table of Contents: “...-universes and wormholes -- 19. Normalized Weyl-type *-product on Kahler manifolds -- 20. Non-dopplerian cosmological redshift parameters in a model of graviton-dusty universe -- 21. Deformed algebras,q-Hermite polynomials and q-Bessel functions -- 22. Quantum...”

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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: “...-Momentum Coupling -- 7.5 Two-Particle Correlations -- 8. Special Functions -- 8.1 Hermite Polynomials -- 8.2 Laguerre Polynomials -- 8.3 Legendre Polynomials -- 8.4 Coulomb Waves -- References....”

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Table of Contents: “... Scattering Amplitude. Phase Shift. Partial and Total Cross Sections -- 8.6 Exercises -- 9 Special Functions of Mathematical Physics -- 9.1 Basic Formulae -- 9.2 Hermite Polynomials -- 9.3 Eigenfunctions of the One-Dimensional Harmonic Oscillator -- 9.4 Legendre...”

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Table of Contents: “... noise -- Power spectra of nonlinear dynamic systems — Analysis via generalized Hermite polynomials -- Some remarks concerning convergence of orthogonal polynomial expansions -- Un Solveur de Wiener Rapide: Résolution des Systèmes de Toeplitz par une Méthode...”

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Table of Contents: “...1. Classical Orthogonal Polynomials -- 1.1 An Equation of Hypergeometric Type -- 1.2 Polynomials of Hypergeometric Type and Their Derivatives. The Rodrigues Formula -- 1.3 The Orthogonality Property -- 1.4 The Jacobi, Laguerre, and Hermite Polynomials...”

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Table of Contents: “...1 Introduction -- 1.1 Luminescence Centers and Models of Them -- 1.2 The Simplest Model: One Coordinate and Equal Force Constants -- 1.3 The Franck-Condon Principle for Nonradiative Rates -- 2 Harmonic Oscillator Wavefunctions -- 2.1 Hermite Polynomials...”

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Table of Contents: “... -- 7.13 Invariance Under Time Reversal -- 7.14 Galilean Transformations -- 7.15 Isospin -- Appendix A: Special Functions -- A.1 Legendre Polynomials -- A.2 Associated Legendre Functions -- A.3 Spherical Harmonics -- A.4 Hermite Polynomials -- A.5 Laguerre...”

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Table of Contents: “....6 Hermite Polynomials as an Example of Orthonormal Basis Functions -- Appendix to Section I.6 -- I.7 Continuous Functionals -- I.8 How the Mathematical Quantities Will Be Used -- Problems -- II Foundations of Quantum Mechanics—The Harmonic Oscillator...”

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Table of Contents: “... Subject to Gaussian Process Excitation -- Generalized Hermite Polynomials and the Spectrum of Nonlinear Random Vibration -- Weibull Distributions and Large Earthquake Modelling -- 2. Fatigue Crack Growth -- Analysis of Stochastic Equation Models of Crack Growth...”

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