User:Xs.uk/Books/Orthogonal Polynomials

Orthogonal Polynomials

 * Introduction
 * Orthogonal polynomials
 * Classical orthogonal polynomials
 * Hermite polynomials
 * Laguerre polynomials
 * Jacobi polynomials
 * Gegenbauer polynomials
 * Chebyshev polynomials
 * Legendre polynomials
 * Wilson polynomials
 * Meixner–Pollaczek polynomials
 * Continuous Hahn polynomials
 * Continuous dual Hahn polynomials
 * Askey–Wilson polynomials
 * Discrete orthogonal polynomials
 * Racah polynomials
 * Hahn polynomials
 * Dual Hahn polynomials
 * Meixner polynomials
 * Kravchuk polynomials
 * Charlier polynomials
 * Sieved orthogonal polynomials
 * Sieved ultraspherical polynomials
 * Sieved Jacobi polynomials
 * Sieved Pollaczek polynomials
 * Orthogonal polynomials on the unit circle
 * Rogers–Szegő polynomials
 * Zernike polynomials
 * Favard's theorem
 * Christoffel–Darboux formula
 * Macdonald polynomials
 * Hall–Littlewood polynomials
 * Jack function
 * Heckman–Opdam polynomials
 * Koornwinder polynomials
 * Appell sequence
 * Askey scheme
 * Binomial type
 * Biorthogonal polynomial
 * Generalized Fourier series
 * Secondary measure
 * Sheffer sequence
 * Umbral calculus
 * Bernstein polynomial
 * De Casteljau's algorithm
 * Stone–Weierstrass theorem
 * Bézier curve
 * Polynomial interpolation
 * Newton polynomial
 * Lagrange polynomial
 * Polynomial
 * Ring of polynomial functions
 * Trigonometric polynomial
 * Fourier series
 * Trigonometric interpolation
 * Discrete Fourier transform
 * Laurent polynomial
 * Rational function
 * Formal power series
 * Power rule
 * Power series


 * Moments
 * Moment (mathematics)
 * Factorial moment
 * Generalized mean
 * Hamburger moment problem
 * Hausdorff moment problem
 * Image moment
 * L-moment
 * Method of moments (probability theory)
 * Method of moments (statistics)
 * Moment-generating function
 * Moment measure
 * Second moment method
 * Standardized moment
 * Stieltjes moment problem
 * Taylor expansions for the moments of functions of random variables


 * Transform
 * Fourier transform
 * DFT matrix
 * Discrete-time Fourier transform
 * Fast Fourier transform
 * Fourier integral operator
 * Fourier inversion theorem
 * Multiplier (Fourier analysis)
 * Beevers–Lipson strip
 * Analog signal processing
 * Sine and cosine transforms
 * Fourier–Deligne transform
 * Fourier–Mukai transform
 * Fractional Fourier transform
 * Indirect Fourier transform
 * Integral transform
 * Hankel transform
 * Hartley transform
 * Laplace transform
 * Linear canonical transformation
 * Mellin transform
 * Multidimensional transform
 * NGC 4622
 * Short-time Fourier transform
 * Space-time Fourier transform
 * Spectral density
 * Spectral density estimation
 * Symbolic integration
 * Time stretch dispersive Fourier transform
 * Transformation (function)
 * Coordinate system
 * Data transformation (statistics)
 * Infinitesimal transformation
 * Linear map
 * Transformation geometry
 * Group action
 * Transformation matrix
 * Two-sided Laplace transform
 * Weierstrass transform
 * Abel transform
 * Hilbert transform
 * Poisson kernel
 * Dirac delta function
 * List of transforms
 * Bateman transform
 * Hilbert–Schmidt integral operator
 * Inverse Laplace transform
 * Mellin inversion theorem
 * Laplace–Carson transform
 * Laplace–Stieltjes transform
 * Nörlund–Rice integral
 * N-transform
 * Radon transform
 * Stieltjes transformation
 * Wavelet transform
 * Binomial transform
 * Modified discrete cosine transform
 * Discrete Hartley transform
 * Discrete sine transform
 * Discrete wavelet transform
 * Fast wavelet transform
 * Hankel matrix
 * Irrational base discrete weighted transform
 * Discrete Fourier transform (general)
 * Stirling transform
 * Z-transform
 * Principal component analysis
 * Bäcklund transform
 * Bilinear transform
 * Box–Muller transform
 * Burrows–Wheeler transform
 * Chirplet transform
 * Distance transform
 * Fractal transform
 * Hadamard transform
 * Hough transform
 * Inverse scattering transform
 * Legendre transformation
 * Möbius inversion formula
 * 3D projection
 * Sequential euclidean distance transforms
 * Y-Δ transform
 * Generalised Hough transform
 * Randomized Hough transform


 * transformation
 * Affine transformation
 * Semilinear transformation
 * Coin rotation paradox
 * Glide reflection
 * Helmert transformation
 * Homography
 * Homothetic transformation
 * Horizontal translation
 * Householder transformation
 * Reflection (mathematics)
 * Motion (geometry)
 * Locally finite operator
 * Rotation matrix
 * Scaling (geometry)
 * Shear mapping
 * Translation (geometry)
 * Vector projection


 * Measure
 * Measure (mathematics)
 * Hausdorff measure
 * Geometric measure theory
 * Fuzzy measure theory
 * Inner measure
 * Lebesgue integration
 * Lebesgue measure
 * Product measure
 * Pushforward measure
 * Vector measure
 * Volume form
 * Measurable cardinal
 * Hausdorff dimension
 * Outer measure


 * Entropy
 * Entropy
 * Entropy (information theory)
 * Conditional entropy
 * Cross entropy
 * Entropy (arrow of time)
 * Entropy encoding
 * Entropy estimation
 * Entropy power inequality
 * Entropy rate
 * Fisher information
 * Joint entropy
 * Negentropy
 * History of entropy
 * Information geometry
 * Qualitative variation
 * Quantum relative entropy
 * Rényi entropy
 * Perplexity


 * Distance
 * Mutual information
 * Hamming distance
 * Measure-preserving dynamical system
 * Levenshtein distance
 * Diversity index
 * Theil index
 * Typoglycemia
 * Chebyshev distance
 * Closest string
 * Damerau–Levenshtein distance
 * Euclidean distance
 * Hausdorff distance
 * Mahalanobis distance
 * Jaccard index
 * String metric
 * Sørensen–Dice coefficient
 * Word ladder
 * Approximate string matching
 * String searching algorithm
 * Metric (mathematics)
 * Similarity measure
 * Cosine similarity


 * Bag-of-words
 * Bag-of-words model
 * Bag-of-words model in computer vision
 * Semantic similarity
 * Affinity propagation
 * Part-based models
 * Vector space model


 * Geodesic Distance
 * Distance (graph theory)
 * Distance matrix
 * Quantum graph


 * Markov
 * Markov random field
 * Principle of maximum entropy
 * Markov chain
 * Hopfield network
 * Graphical model
 * Markov logic network
 * Hammersley–Clifford theorem
 * Interacting particle system
 * Stochastic cellular automaton
 * Log-linear analysis
 * Hidden Markov random field
 * Hidden Markov model
 * Bayesian network
 * Factor graph
 * Ising model
 * Markov blanket
 * Probabilistic soft logic


 * GrabCut
 * GrabCut
 * Graph cuts in computer vision
 * Cut (graph theory)
 * Conditional random field
 * Mixture model
 * RANSAC
 * Iterative closest point


 * Image Segmentation
 * Watershed (image processing)
 * Image segmentation
 * Image-based meshing
 * Range segmentation
 * Vector quantization
 * Quantization (image processing)
 * Color quantization
 * Thresholding (image processing)
 * Balanced histogram thresholding
 * Otsu's method
 * K-means clustering
 * Fast marching method
 * Level set (data structures)
 * Minimum spanning tree-based segmentation
 * Segmentation-based object categorization
 * Iterated conditional modes
 * Expectation–maximization algorithm
 * Taxicab geometry