Volterra-type convolution of classical polynomials
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[1] R. Askey. Orthogonal Polynomials and Special Functions , 1975 .
[2] J. V. Jeugt,et al. Convolutions for orthogonal polynomials from Lie and quantum algebra representations. , 1996, q-alg/9607010.
[3] C. W. Clenshaw,et al. The special functions and their approximations , 1972 .
[4] DAVID G. KENDALL,et al. Introduction to Mathematical Statistics , 1947, Nature.
[5] Wolfram Koepf,et al. Representations of orthogonal polynomials , 1997 .
[6] K. Atkinson. The Numerical Solution of Integral Equations of the Second Kind , 1997 .
[7] Pascal Maroni,et al. Connection coefficients between orthogonal polynomials and the canonical sequence: an approach based on symbolic computation , 2008, Numerical Algorithms.
[8] Eduardo D. Sontag,et al. Mathematical Control Theory: Deterministic Finite Dimensional Systems , 1990 .
[9] Jet Wimp,et al. Connection coefficients, orthogonal polynomials and the WZ-algorithms , 1999, Numerical Algorithms.
[10] J. S. Dehesa,et al. General linearization formulae for products of continuous hypergeometric-type polynomials , 1999 .
[11] Richard Askey,et al. INTEGRAL REPRESENTATIONS FOR JACOBI POLYNOMIALS AND SOME APPLICATIONS. , 1969 .
[12] T. Hagstrom. Radiation boundary conditions for the numerical simulation of waves , 1999, Acta Numerica.
[13] I. Areaa,et al. Solving connection and linearization problems within the Askey scheme and its q-analogue via inversion formulas , 2001 .
[14] I. Area,et al. LETTER TO THE EDITOR: Results for some inversion problems for classical continuous and discrete orthogonal polynomials , 1997 .
[15] Peter Linz,et al. Analytical and numerical methods for Volterra equations , 1985, SIAM studies in applied and numerical mathematics.
[16] H. Brunner,et al. The numerical solution of Volterra equations , 1988 .
[17] I. Stakgold. Green's Functions and Boundary Value Problems , 1979 .
[18] P. Maroni. Semi-classical character and finite-type relations between polynomial sequences , 1999 .
[19] Robert V. Hogg,et al. Introduction to Mathematical Statistics. , 1966 .
[20] Dean Duffy,et al. Green’s Functions with Applications, Second Edition , 2015 .
[21] S. Lewanowicz. THE HYPERGEOMETRIC FUNCTIONS APPROACH TO THE CONNECTION PROBLEM FOR THE CLASSICAL ORTHOGONAL POLYNOMIALS , 2016 .
[22] Rene F. Swarttouw,et al. Orthogonal polynomials , 2020, NIST Handbook of Mathematical Functions.
[23] Ana F. Loureiro,et al. Spectral Approximation of Convolution Operators , 2018, SIAM J. Sci. Comput..
[24] G. Reinsel,et al. Introduction to Mathematical Statistics (4th ed.). , 1980 .
[25] W. Marsden. I and J , 2012 .
[26] Michael Holst,et al. Green's Functions and Boundary Value Problems: Stakgold/Green's Functions , 2011 .
[27] Ronald F. Boisvert,et al. NIST Handbook of Mathematical Functions , 2010 .
[28] Pierre Sagaut,et al. Large-eddy simulation for acoustics , 2007 .
[29] M. Ismail,et al. Generalized Burchnall-Type Identities for Orthogonal Polynomials and Expansions , 2018, Symmetry, Integrability and Geometry: Methods and Applications.
[30] Steven B. Damelin,et al. The Mathematics of Signal Processing , 2012 .
[31] Leon M. Hall,et al. Special Functions , 1998 .
[32] Stéphanie Perron,et al. The connection. , 2012, Canadian family physician Medecin de famille canadien.
[33] Jean Ponce,et al. Computer Vision: A Modern Approach , 2002 .
[34] H. Eom. Green’s Functions: Applications , 2004 .
[35] R. Hilfer. Applications Of Fractional Calculus In Physics , 2000 .
[36] Projection formulas for orthogonal polynomials , 2006, math/0606092.
[37] M. Ismail,et al. Classical and Quantum Orthogonal Polynomials in One Variable: Bibliography , 2005 .