Fourier–Bessel expansion
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11—20 of 22 matching pages
11: Bibliography P
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On the use of Hadamard expansions in hyperasymptotic evaluation. I. Real variables.
Proc. Roy. Soc. London Ser. A 457 (2016), pp. 2835–2853.
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Bounds for ratios of modified Bessel functions.
Integral Transform. Spec. Funct. 9 (4), pp. 293–298.
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Automatic computation of Bessel function integrals.
Comput. Phys. Comm. 25 (3), pp. 289–295.
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Fourier Series and Integral Transforms.
Cambridge University Press, Cambridge.
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A method for computing Bessel function integrals.
J. Comput. Phys. 75 (2), pp. 334–344.
12: 28.23 Expansions in Series of Bessel Functions
13: Bibliography L
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An Introduction to Fourier Analysis and Generalised Functions.
Cambridge Monographs on Mechanics and Applied Mathematics, Cambridge University Press, New York.
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Uniform asymptotic expansions of symmetric elliptic integrals.
Constr. Approx. 17 (4), pp. 535–559.
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Uniform asymptotic expansions at a caustic.
Comm. Pure Appl. Math. 19, pp. 215–250.
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Expansion of the confluent hypergeometric function in series of Bessel functions.
Math. Tables Aids Comput. 13 (68), pp. 261–271.
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Adjusted forms of the Fourier coefficient asymptotic expansion and applications in numerical quadrature.
Math. Comp. 25 (113), pp. 87–104.
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14: Bibliography R
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High precision Chebyshev expansions for Airy functions and their derivatives.
Technical report
University of Birmingham Computer Centre.
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Fourier analysis and signal processing by use of the Möbius inversion formula.
IEEE Trans. Acoustics, Speech, Signal Processing 38, pp. 458–470.
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Methods of Modern Mathematical Physics, Vol. 2, Fourier Analysis, Self-Adjointness.
Academic Press, New York.
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Applied Bessel Functions.
Dover Publications Inc., New York.
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Partial fractions expansions and identities for products of Bessel functions.
J. Math. Phys. 46 (4), pp. 043509–1–043509–18.
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15: Bibliography D
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Computing spectra of linear operators using the Floquet-Fourier-Hill method.
J. Comput. Phys. 219 (1), pp. 296–321.
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Sur les zéros réels des polynômes de Bernoulli.
Ann. Inst. Fourier (Grenoble) 41 (2), pp. 267–309 (French).
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Convergent Liouville-Green expansions for second-order linear differential equations, with an application to Bessel functions.
Proc. Roy. Soc. London Ser. A 440, pp. 37–54.
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Convergent expansions for solutions of linear ordinary differential equations having a simple turning point, with an application to Bessel functions.
Stud. Appl. Math. 107 (3), pp. 293–323.
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Uniform asymptotic expansions for the reverse generalized Bessel polynomials, and related functions.
SIAM J. Math. Anal. 32 (5), pp. 987–1013.
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16: Bibliography T
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Some definite integrals and Fourier series for Jacobian elliptic functions.
Z. Angew. Math. Mech. 49, pp. 95–96.
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Uniform asymptotic expansions of a class of integrals in terms of modified Bessel functions, with application to confluent hypergeometric functions.
SIAM J. Math. Anal. 21 (1), pp. 241–261.
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Fourier Analysis on Finite Groups and Applications.
London Mathematical Society Student Texts, Vol. 43, Cambridge University Press, Cambridge.
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Introduction to the Theory of Fourier Integrals.
Third edition, Chelsea Publishing Co., New York.
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Fourier Series.
Prentice-Hall Inc., Englewood Cliffs, N.J..
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17: Bibliography B
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Asymptotic expansions of the modified Bessel function of the third kind of imaginary order.
SIAM J. Appl. Math. 15, pp. 1315–1323.
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Uniform asymptotic expansion of Charlier polynomials.
Methods Appl. Anal. 1 (3), pp. 294–313.
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From Klein to Painlevé via Fourier, Laplace and Jimbo.
Proc. London Math. Soc. (3) 90 (1), pp. 167–208.
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Introduction to Bessel Functions.
Dover Publications Inc., New York.
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On the asymptotic expansion of some integrals.
Arch. Math. (Basel) 42 (3), pp. 253–259.
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18: Bibliography K
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Hypergeometric expansions of Heun polynomials.
SIAM J. Math. Anal. 22 (5), pp. 1450–1459.
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Addendum: “Hypergeometric expansions of Heun polynomials”.
SIAM J. Math. Anal. 22 (6), pp. 1803.
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Series expansions for the third incomplete elliptic integral via partial fraction decompositions.
J. Comput. Appl. Math. 207 (2), pp. 331–337.
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Fourier Analysis.
2nd edition, Cambridge University Press, Cambridge.
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A Handbook of Methods of Approximate Fourier Transformation and Inversion of the Laplace Transformation.
Mir, Moscow.
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19: 18.17 Integrals
20: Bibliography H
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Expansions for the probability function in series of Čebyšev polynomials and Bessel functions.
Bul. Akad. Štiince RSS Moldoven. 1976 (1), pp. 77–80, 96 (Russian).
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Spherical Bessel expansions of sine, cosine, and exponential integrals.
Appl. Numer. Math. 34 (1), pp. 95–98.
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Applied and Computational Complex Analysis. Vol. 3: Discrete Fourier Analysis—Cauchy Integrals—Construction of Conformal Maps—Univalent Functions.
Pure and Applied Mathematics, Wiley-Interscience [John Wiley & Sons Inc.], New York.
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On the resurgence properties of the uniform asymptotic expansion of Bessel functions of large order.
Proc. Roy. Soc. London Ser. A 455, pp. 3917–3930.
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Bessel function expansions of Coulomb wave functions.
J. Math. Phys. 26 (4), pp. 656–659.
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