Mehler–Sonine integrals
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11—20 of 425 matching pages
11: 10.9 Integral Representations
§10.9 Integral Representations
… ►Mehler–Sonine and Related Integrals
… ►§10.9(ii) Contour Integrals
… ►Hankel’s Integrals
… ► …12: 14.12 Integral Representations
§14.12 Integral Representations
►§14.12(i)
►Mehler–Dirichlet Formula
… ►Neumann’s Integral
… ►Heine’s Integral
…13: Bibliography O
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Tables of Lebedev, Mehler and Generalized Mehler Transforms.
Mathematical Note
Technical Report 246, Boeing Scientific Research Lab, Seattle.
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Complete elliptic integrals resulting from infinite integrals of Bessel functions.
J. Res. Nat. Bur. Standards Sect. B 78B (3), pp. 113–135.
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Complete elliptic integrals resulting from infinite integrals of Bessel functions. II.
J. Res. Nat. Bur. Standards Sect. B 79B (3-4), pp. 137–170.
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Uniform Airy-type expansions of integrals.
SIAM J. Math. Anal. 25 (2), pp. 304–321.
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A class of integral identities with matrix argument.
Duke Math. J. 26 (2), pp. 207–213.
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14: 14.20 Conical (or Mehler) Functions
§14.20 Conical (or Mehler) Functions
… ►Solutions are known as conical or Mehler functions. … ►§14.20(iv) Integral Representation
… ►§14.20(vi) Generalized Mehler–Fock Transformation
… ►§14.20(x) Zeros and Integrals
…15: 18.10 Integral Representations
§18.10 Integral Representations
►§18.10(i) Dirichlet–Mehler-Type Integral Representations
►Ultraspherical
… ►Legendre
… ►Jacobi
…16: 14.1 Special Notation
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►The main functions treated in this chapter are the Legendre functions , , , ; Ferrers functions , (also known as the Legendre functions on the cut); associated Legendre functions , , ; conical functions , , , , (also known as Mehler functions).
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17: Bibliography G
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Formulas of the Dirichlet-Mehler Type.
In Fractional Calculus and its Applications, B. Ross (Ed.),
Lecture Notes in Math., Vol. 457, pp. 207–215.
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Algorithm 471: Exponential integrals.
Comm. ACM 16 (12), pp. 761–763.
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A table of integrals of the exponential integral.
J. Res. Nat. Bur. Standards Sect. B 73B, pp. 191–210.
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Definite integrals of the complete elliptic integral
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J. Res. Nat. Bur. Standards Sect. B 80B (2), pp. 313–323.
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A method for evaluating certain Bessel integrals.
Z. Angew. Math. Phys. 30 (4), pp. 722–723.
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18: 14.34 Software
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§14.34(iv) Conical (Mehler) and/or Toroidal Functions
…19: 18.11 Relations to Other Functions
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