double series
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1: 1.9 Calculus of a Complex Variable
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§1.9(vii) Inversion of Limits
… ►A double series is the limit of the double sequence …If the limit exists, then the double series is convergent; otherwise it is divergent. … ►If a double series is absolutely convergent, then it is also convergent and its sum is given by either of the repeated sums …2: 25.16 Mathematical Applications
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25.16.1
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3: 20.6 Power Series
4: 23.2 Definitions and Periodic Properties
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►The double series and double product are absolutely and uniformly convergent in compact sets in that do not include lattice points.
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5: 16.14 Partial Differential Equations
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►In addition to the four Appell functions there are other sums of double series that cannot be expressed as a product of two functions, and which satisfy pairs of linear partial differential equations of the second order.
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6: 1.3 Determinants, Linear Operators, and Spectral Expansions
7: 10.53 Power Series
8: 10.41 Asymptotic Expansions for Large Order
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►For expansions in inverse factorial series see Dunster et al. (1993).
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§10.41(iv) Double Asymptotic Properties
►The series (10.41.3)–(10.41.6) can also be regarded as generalized asymptotic expansions for large . … ►§10.41(v) Double Asymptotic Properties (Continued)
…9: Bibliography
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Rational function approximations for Fermi-Dirac integrals.
The Astrophysical Journal Supplement Series 84, pp. 101–108.
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10: Bibliography C
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Numerical evaluation of the Fermi-Dirac integrals.
The Astrophysical Journal Supplement Series 71, pp. 677–699.
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