Thomae transformation
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1: 35.8 Generalized Hypergeometric Functions of Matrix Argument
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Thomae Transformation
…2: Bibliography G
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Contiguous relations and summation and transformation formulae for basic hypergeometric series.
J. Difference Equ. Appl. 19 (12), pp. 2029–2042.
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3: Bibliography S
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The Laplace Transform: Theory and Applications.
Undergraduate Texts in Mathematics, Springer-Verlag, New York.
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Numerical evaluation of the Hankel transform.
Comput. Phys. Comm. 116 (2-3), pp. 278–294.
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Non-linear transformations of divergent and slowly convergent sequences.
J. Math. Phys. 34, pp. 1–42.
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Numerical evaluation of spherical Bessel transforms via fast Fourier transforms.
J. Comput. Phys. 100 (2), pp. 294–296.
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Practical Extrapolation Methods: Theory and Applications.
Cambridge Monographs on Applied and Computational Mathematics, Vol. 10, Cambridge University Press, Cambridge.
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4: Bibliography E
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The numerical inversion of two classes of Kontorovich-Lebedev transform by direct quadrature.
J. Comput. Appl. Math. 61 (1), pp. 43–72.
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Tables of Integral Transforms. Vol. I.
McGraw-Hill Book Company, Inc., New York-Toronto-London.
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Tables of Integral Transforms. Vol. II.
McGraw-Hill Book Company, Inc., New York-Toronto-London.
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The Thirteen Books of Euclid’s Elements.
Cambridge University Press, Cambridge.
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On the transformation theory of ordinary second-order linear symmetric differential expressions.
Czechoslovak Math. J. 32(107) (2), pp. 275–306.
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5: Bibliography B
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Transformations of generalized hypergeometric series.
Proc. London Math. Soc. (2) 29 (2), pp. 495–502.
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Numerical evaluation of the zero-order Hankel transform using Filon quadrature philosophy.
Appl. Math. Lett. 9 (5), pp. 21–26.
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Bäcklund transformations and solution hierarchies for the fourth Painlevé equation.
Stud. Appl. Math. 95 (1), pp. 1–71.
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Semiclassical asymptotics of orthogonal polynomials, Riemann-Hilbert problem, and universality in the matrix model.
Ann. of Math. (2) 150 (1), pp. 185–266.
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Stieltjes transforms and the Stokes phenomenon.
Proc. Roy. Soc. London Ser. A 429, pp. 227–246.
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