integral transforms
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31—40 of 116 matching pages
31: 16.15 Integral Representations and Integrals
32: 2.5 Mellin Transform Methods
§2.5 Mellin Transform Methods
… ►with . … ►§2.5(ii) Extensions
… ►Next from Table 2.5.1 we observe that the integrals for the transform pair and are absolutely convergent in the domain specified in Table 2.5.2, and these domains are nonempty as a consequence of (2.5.19) and (2.5.20). … ►See also Brüning (1984) for a different approach. …33: Bibliography K
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Bernstein, Pick, Poisson and related integral expressions for Lambert
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Integral Transforms Spec. Funct. 23 (11), pp. 817–829.
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An extension of Saalschütz’s summation theorem for the series
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Integral Transforms Spec. Funct. 24 (11), pp. 916–921.
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Fractional integral and generalized Stieltjes transforms for hypergeometric functions as transmutation operators.
SIGMA Symmetry Integrability Geom. Methods Appl. 11, pp. Paper 074, 22.
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34: 2.3 Integrals of a Real Variable
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►Assume that the Laplace transform
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2.3.12
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►The integral (2.3.24) transforms into
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§2.3(vi) Asymptotics of Mellin Transforms
►For the asymptotics of the Mellin transform as see Frenzen (1987b), Sidi (1985, 2011).35: Bibliography
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Lectures on Integral Transforms.
Translations of Mathematical Monographs, Vol. 70, American Mathematical Society, Providence, RI.
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36: Bibliography L
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Asymptotics of the first Appell function with large parameters II.
Integral Transforms Spec. Funct. 24 (12), pp. 982–999.
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Asymptotics of the first Appell function with large parameters.
Integral Transforms Spec. Funct. 24 (9), pp. 715–733.
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37: Bibliography R
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Finite-sum rules for Macdonald’s functions and Hankel’s symbols.
Integral Transform. Spec. Funct. 10 (2), pp. 115–124.
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38: 19.7 Connection Formulas
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Reciprocal-Modulus Transformation
… ►Imaginary-Modulus Transformation
… ►Imaginary-Argument Transformation
…39: 29.10 Lamé Functions with Imaginary Periods
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►The first and the fourth functions have period ; the second and the third have period .
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29.10.2
►transform (29.2.1) into
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40: Bibliography C
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Landen Transformations of Integrals.
In Asymptotic and Computational Analysis (Winnipeg, MB, 1989), R. Wong (Ed.),
Lecture Notes in Pure and Appl. Math., Vol. 124, pp. 75–94.
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Derivatives with respect to the degree and order of associated Legendre functions for using modified Bessel functions.
Integral Transforms Spec. Funct. 21 (7-8), pp. 581–588.
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On a generalization of the generating function for Gegenbauer polynomials.
Integral Transforms Spec. Funct. 24 (10), pp. 807–816.
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