inversion formulas

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1: 27.5 Inversion Formulas

§27.5 Inversion Formulas

… ►which, in turn, is the basis for the Möbius inversion formula relating sums over divisors: … ►Special cases of Möbius inversion pairs are: … ►Other types of Möbius inversion formulas include: …

2: 12.16 Mathematical Applications

… ►PCFs are also used in integral transforms with respect to the parameter, and inversion formulas exist for kernels containing PCFs. …

3: 35.2 Laplace Transform

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Inversion Formula

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4: 24.5 Recurrence Relations

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§24.5(iii) Inversion Formulas

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5: 20.9 Relations to Other Functions

… ►The relations (20.9.1) and (20.9.2) between $k$ and $\tau$ (or $q$) are solutions of Jacobi’s inversion problem; see Baker (1995) and Whittaker and Watson (1927, pp. 480–485). …

6: 20.11 Generalizations and Analogs

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7: Bibliography R

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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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Referenced by:

§27.17.

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8: 18.18 Sums

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§18.18(iv) Connection and Inversion Formulas

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9: 4.24 Inverse Trigonometric Functions: Further Properties

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§4.24(iii) Addition Formulas

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10: 2.5 Mellin Transform Methods

… ►The inversion formula is given by …