SU\G(𝔸)/K·U
Mathematics › Applied Mathematics

Mathematical functions and polynomials

Works Count: 32281

Description

This cluster of papers focuses on the theory, computation, and applications of orthogonal polynomials. It covers topics such as quadrature methods, approximation, interpolation, asymptotics, numerical stability, matrix valued polynomials, Riemann-Hilbert approach, random matrix theory, and hypergeometric functions.

Keywords

Orthogonal Polynomials; Quadrature Methods; Approximation; Interpolation; Asymptotics; Numerical Stability; Matrix Valued Polynomials; Riemann-Hilbert Approach; Random Matrix Theory; Hypergeometric Functions

Most Cited Works

Action Title Date Authors
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Hypergeometric Orthogonal Polynomials and Their q-Analogues 2010-01-01 Roelof Koekoek Peter Lesky René F. Swarttouw
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Fractional Calculus: Integral and Differential Equations of Fractional Order 2008-01-01 Rudolf Gorenflo Francesco Mainardi
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Functional Analysis, Sobolev Spaces and Partial Differential Equations 2010-11-02 Haïm Brézis
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Geometry of Polynomials 1949-12-31 Morris Marden
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Orthogonal Polynomials 2004-04-29 Walter Gautschi
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Orthogonal Polynomials and Random Matrices: A Riemann-Hilbert Approach 2000-10-06 Percy Deift
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The Askey-scheme of hypergeometric orthogonal polynomials and its q-analogue 1996-01-01 Roelof Koekoek René F. Swarttouw
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Fourier Transforms in the Complex Domain 1934-12-31 N. Wiener R. E. A. C. Paley
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The Classical Moment Problem. 1968-01-01 Stephen Hoffman Н. И. Ахиезер
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Some basic hypergeometric orthogonal polynomials that generalize Jacobi polynomials 1985-01-01 Richard Askey James Wilson
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Asymptotic Theory of Certain "Goodness of Fit" Criteria Based on Stochastic Processes 1952-06-01 T. W. Anderson D. A. Darling
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Distributions of Matrix Variates and Latent Roots Derived from Normal Samples 1964-06-01 A. T. James
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THE INDEX OF ELLIPTIC OPERATORS 1997-10-01 Michael Atiyah
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A Test of Goodness of Fit 1954-12-01 T. W. Anderson D. A. Darling
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Some results on Tchebycheffian spline functions 1971-01-01 George Kimeldorf Grace Wahba
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Computing the distribution of quadratic forms in normal variables 1961-01-01 J. P. Imhof
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On the efficiency of certain quasi-random sequences of points in evaluating multi-dimensional integrals 1960-12-01 John H. Halton
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A Generalization of the Gamma Distribution 1962-09-01 E. W. Stacy
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Determination of quasiprobability distributions in terms of probability distributions for the rotated quadrature phase 1989-09-01 Karl Vogel H. Risken
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The Special Functions and Their Approximations 1972-01-01 C. W. Clenshaw Yudell L. Luke
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<i>Toeplitz Forms and Their Applications</i> 1958-10-01 Ulf Grenander Gábor Szegő Mark Kac
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A new algorithm for adaptive multidimensional integration 1978-05-01 G. Peter Lepage
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The Monte Carlo Method 1949-09-01 N. Metropolis Stanislaw M. Ulam
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A CENTRAL LIMIT THEOREM AND A STRONG MIXING CONDITION 1956-01-01 M. Rosenblatt
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On certain integrals of Lipschitz-Hankel type involving products of bessel functions 1955-04-19 G. Eason B. Noble I. N. Sneddon
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Handbook of Elliptic Integrals for Engineers and Scientists 1972-07-01 Y. L. L. Paul F. Byrd Morris D. Friedman
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Generalized discrete variable approximation in quantum mechanics 1985-02-01 J. C. Light I. P. Hamilton James Lill
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Approximate Calculation of Multiple Integrals 1973-04-01 W. G. A. H. Stroud
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A Treatise on the Theory of Bessel Functions. 1923-09-01 Matthew Porter G. N. Watson
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Continuous and Discrete Wavelet Transforms 1989-12-01 Christopher Heil David F. Walnut
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Special Functions and the Theory of Group Representations 1968-12-31 N. I︠a︡. Vilenkin
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Splines minimizing rotation-invariant semi-norms in Sobolev spaces 1977-01-01 Jean Duchon
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Introduction to Approximation Theory 1969-04-01 T. J. Rivlin E. W. Cheney
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Table of Integrals, Series, and Products 1980-01-01
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The Problem of Moments 1943-12-31 J. Shohat J. Tamarkin
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On orthogonal polynomials 1975-12-01 P. Túrán
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Special Functions and their Applications 1966-01-01 Y. L. L. Nikolai Lebedev Richard A. Silverman
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Generalized Hypergeometric Functions 1966-10-01 Y. L. L. L. J. Slater
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The Orthogonal Development of Non-Linear Functionals in Series of Fourier-Hermite Functionals 1947-04-01 R. H. Cameron W. T. Martin
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A Note on the Multiplying Factors for Various χ2 Approximations 1954-07-01 M. S. Bartlett
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Smoothing noisy data with spline functions 1978-12-01 Peter G. Craven Grace Wahba
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Orthogonal Polynomials 1971-01-01
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Interpolation of scattered data: Distance matrices and conditionally positive definite functions 1986-12-01 Charles A. Micchelli
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Approximate methods of higher analysis 1959-12-01 L.R.
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Tables of integrals, series and products 1967-02-01 Leković Danijela R.
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Chebyshev Polynomials 2002-09-17 J. C. Mason D. C. Handscomb
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Mittag-Leffler Functions, Related Topics and Applications 2014-01-01 Rudolf Gorenflo Anatoly A. Kilbas Francesco Mainardi Sergei Rogosin
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Orthogonal Polynomials 1939-12-31 Gábor Szegő
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Applications of Fractional Calculus in Physics 2000-03-01 R. Hilfer
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A class of distributions which includes the normal ones 1985-01-01 Adelchi Azzalini

Most Recent Works

Action Title Date Authors
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Analysis of Classical Special Beta &amp; Gamma Functions in Engineering Mathematics and Physics 2025-04-26 Pranesh Kulkarni
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A New Approach to the Quadratic Transmuted Family: A Note and a New Family 2025-04-25 Hamid Bidram Vahid Nekoukhou
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Fractional Operator Approach and Hybrid Special Polynomials: The Generalized Gould–Hopper–Bell-Based Appell Polynomials and Their Characteristics 2025-04-25 Rabeb Sidaoui E. I. Hassan Abdulghani Muhyi Khaled Aldwoah Alnadhief H. A. Alfedeel Khidir Shaib Mohamed Alawia Adam
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Some Properties of Bessel I_2-Δ_θ^n-Asymptotically Statistical Equivalent Double Sequence of Order ρ ˜ 2025-04-25 Ömer Kı̇şı̇ Rümeysa Akbıyık
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On the Approximations and Symmetric Properties of Frobenius–Euler–Şimşek Polynomials Connecting Szász Operators 2025-04-25 Nadeem Rao Mohammad Farid Mohd Raiz
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ON SOME NEW PROPERTIES OF THE LAMBDA GAMMA FUNCTION 2025-04-25 Sven Sandow Kwara Nantomah Mohammed Muniru Iddrisu
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Chromatic polynomial and the $\mathfrak{so}$ weight system 2025-04-25 S. K. Lando Zhuoke Yang
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The Chebyshev Approximation by the Logarithm of a Rational Expression 2025-04-26 P. S. Malachivskyy L. S. Melnychok
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On the approximation of singular functions by series of noninteger powers 2025-04-26 Mohan Zhao Kirill Serkh
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Ladder operators for generalized Zernike or disk polynomials 2025-04-28 Misael E. Marriaga
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Least squares residual power series solutions for Kawahara and Rosenau-Hyman nonlinear wave interactions with applications in fluid dynamics 2025-04-28 A. Hassan Anas A. M. Arafa S. Z. Rida M. Dagher H M El Sherbiny
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Time‐Varying Dispersion Integer‐Valued GARCH Models 2025-04-28 Wagner Barreto‐Souza Luiza S. C. Piancastelli Konstantinos Fokianos Hernando Ombao
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Duality of Shehu transform with other well known transforms and application to fractional order differential equations 2025-04-29 Nabil Mlaiki Noor Jamal Muhammad Sarwar Manel Hleili Khursheed J‎. ‎Ansari
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Certain q-Kober fractional integral operator of generalized basic hypergeometric functions and q-polynomials 2025-04-29 Jayprakash Yadav
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Algebraic Characterizations and Properties of Bivariate 2D q$$ q $$‐Hermite–Based Appell Sequences 2025-05-01 Mohra Zayed Shahid Ahmad Wani Taghreed Alqurashi Subuhi Khan
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On Gould-Hopper-based Bivariate Fubini polynomials 2025-05-01 Raimah Bago Normalah Sharief Abdulcarim
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Second Hankel Determinant for a Bi-univalent Function Subclass Based Gegenbauer (Ultraspherical) Polynomials 2025-05-01 Abdelbaset Zeyani Abdulmtalb Hussen
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Certain Properties of $\Delta_h$ Legendre Polynomials and Applications in Computer Modelling 2025-05-01 Shahid Ahmad Wani Waseem Ahmad Khan Taghreed Alqurashi Javid Gani Dar Dxion Salcedo
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Generalized Fractional Integral Extensions of Hermite-Hadamard Inequalities via Extended Mittag-Leffler Kernel 2025-05-01 Saima Naheed Adeeba Rafi Gauhar Rahman Irshad Ayoob Nabil Mlaiki
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Exceptional Differential Polynomial Systems Formed by Simple Pseudo-Wronskians of Jacobi Polynomials and Their Infinite and Finite X-Orthogonal Reductions 2025-04-30 Gregory Natanson
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Monotonicity of three functions involving the confluent hypergeometric functions of the second kind 2025-04-30 Zhong-Xuan Mao Jing-Feng Tian
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Legendre polynomial expansion of the potential of a uniformly charged disk 2025-04-30 Jerrold Franklin
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Szegő quadrature formulas associated with the weight function $$1+\cos (m\theta )$$ with application to the approximation of certain Christoffel transformations on the interval 2025-05-01 Ruymán Cruz‐Barroso Michael Díaz-Bautista
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Coefficient bounds and Fekete-Szegő problem for some classes of analytic functions defined by using a fractional operator 2025-05-02 Eszter Szatmari
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Decomposition of monotone functions 2025-05-02 Robert E. O’Brien
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Generalized Bernoulli process and fractional Poisson process 2025-05-02 Jeonghwa Lee
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Efficient Numerical Quadrature for Highly Oscillatory Integrals with Bessel Function Kernels 2025-05-03 Guo He Yuying Liu
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Average case tractability of multivariate approximation with Gevrey type kernels 2025-05-01 Wanting Lu Heping Wang
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New approach to affine Moser–Trudinger inequalities via Besov polar projection bodies 2025-05-05 Óscar Domínguez Yinqin Li Sergey Tikhonov Dachun Yang Wen Yuan
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The Cauchy $q$-Distribution: Properties and Simulations 2025-05-01 Yassine Amri Imen Boutouria Bouzida Imed
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Multiplication formula for the Nörlund sum operator and their applications 2025-05-07 Elif ŞÜKRÜOĞLU Yılmaz Şimşek
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Inequalities for ratios of modified Struve functions 2025-05-06 Dimitris A. Frantzis Chrysi G. Kokologiannaki Eugenia N. Petropoulou
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Orthogonal polynomials on the real line generated by the parameter sequences for a given non-single parameter positive chain sequence 2025-05-01 Daniel O. Veronese Glalco S. Costa
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Maesaka–Seki–Watanabe's formula for multiple harmonic q-sums 2025-05-01 Yuto Tsuruta
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A New q-Supercongruence Modulo the Fourth Power of a Cyclotomic Polynomial 2025-05-06 Dandan Chen Qingquan Deng
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Finite mixture of gamma distributions and applications 2025-05-05 Rahul Radhakrishnan D. Venkatesan Prasanna Kumari B.
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On Solving Modified Time Caputo Fractional Kawahara Equations in the Framework of Hilbert Algebras Using the Laplace Residual Power Series Method 2025-05-06 Faten H. Damag Amin Saif
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Proof of Riemann Hypothesis 2025-05-07 El Bachir bouazad
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Closed-form representations of the Coulomb integral over hydrogenic orbitals 2025-05-07 Balakrishnan Viswanathan Darien DeWolf
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Chebyshev polynomials boost the π-series convergence 2025-05-07 Sungwoong Cho Daekyoung Kang U-Rae Kim Jungil Lee Jiawei Zhu
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Asymptotic formulae for bivariate functions periodic with respect to the one variable 2025-05-07 Dumitru Popa
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Approximation of analytic functions by generalized discrete shifts of the Lerch zeta-function 2025-05-08 Antanas Laurinčikas Toma Mikalauskaitė Darius Šiaučiūnas
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Доповнення до статті Дуак, Мароні (2020) про новий клас 2-ортогональних поліномів 2025-05-07 В. Л. Макаров
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A lower bound for the Lebesgue constant of the Morrow-Patterson points 2025-05-01 Tomasz Beberok
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Hybrid Integral Inequalities on Fractal Set 2025-05-09 Badreddine Meftah Wedad Saleh Muhammad Uzair Awan Loredana Ciurdariu Abdelghani Lakhdari
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A partial-sum deformation for a family of orthogonal polynomials 2025-05-01 Erik Koelink Pablo Román Wadim Zudilin
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Pair correlations, beta distribution and hypergeometric functions 2025-05-09 Christian Weiß
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Time and Band Limiting: From the Early Days to the Present 2025-05-09 F. Alberto Grünbaum
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Proof of Some Conjectural Congruences Involving Binomial Coefficients and Apéry-like Numbers 2025-05-05 Guo-Shuai Mao
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Certain new formulas for bibasic Humbert hypergeometric functions $$\Psi _{1}$$ and $$\Psi _{2}$$ 2025-05-10 Ayman Shehata