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References
L. R. Bragg and J. W. Dettman,Expansion of solutions of certain hyperbolic and elliptic problems in terms of Jacobi polynomials, Duke Math. J.36 (1969), 129–144.
A. Erdelyi et al.,Higher Transcendental Functions, Vol. 2, McGraw-Hill, 1953.
J. Hadamard,Lectures on Cauchy's problem of Linear Partial Differential Equations, Dover, 1952.
N. N. Lebedev,Special Functions and their Applications, Prentice-Hall, 1965.
E. P. Miles and E. Williams,A basic set of polynomial solutions for the Euler-Poisson-Darboux and Beltrami equations, Amer. Math. Monthly63 (1956), 401–404.
E. Rainville,Special Functions, New York, 1960.
G. Szegö,Orthogonal Polynomials, Amer. Math. Soc. Colloq. Publication, Vol. 23, 1959.
G. N. Watson,A treatise on the Theory of Bessel Functions, second edition, Cambridge, 1958.
D. V. Widder,Expansion in series of homogeneous polynomial solutions of the two dimensional wave equations, Duke Math. J.26 (1959), 591–598.
E. C. Young,On a generalized Euler-Poisson-Darboux equation, J. Math. Mech.18 (1969), 1167–1175.
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Parihar, K.S. Solutions of certain hyperbolic and elliptic problems in terms of series involving Jacobi polynomials and Bessel functions. J. Anal. Math. 27, 1–23 (1974). https://doi.org/10.1007/BF02788640
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DOI: https://doi.org/10.1007/BF02788640