bibasic sums and series
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1: 4.11 Sums
§4.11 Sums
►For infinite series involving logarithms and/or exponentials, see Gradshteyn and Ryzhik (2000, Chapter 1), Hansen (1975, §44), and Prudnikov et al. (1986a, Chapter 5).2: 16.20 Integrals and Series
§16.20 Integrals and Series
… ►Series of the Meijer -function are given in Erdélyi et al. (1953a, §5.5.1), Luke (1975, §5.8), and Prudnikov et al. (1990, §6.11).3: 17.9 Further Transformations of Functions
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§17.9(iv) Bibasic Series
…4: 27.7 Lambert Series as Generating Functions
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►If , then the quotient is the sum of a geometric series, and when the series (27.7.1) converges absolutely it can be rearranged as a power series:
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5: 13.24 Series
§13.24 Series
►§13.24(i) Expansions in Series of Whittaker Functions
►For expansions of arbitrary functions in series of functions see Schäfke (1961b). ►§13.24(ii) Expansions in Series of Bessel Functions
… ►For other series expansions see Prudnikov et al. (1990, §6.6). …6: 34.13 Methods of Computation
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►For symbols, methods include evaluation of the single-sum series (34.6.2), see Fang and Shriner (1992); evaluation of triple-sum series, see Varshalovich et al. (1988, §10.2.1) and Srinivasa Rao et al. (1989).
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7: 17.7 Special Cases of Higher Functions
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Gosper’s Bibasic Sum
…8: 6.6 Power Series
§6.6 Power Series
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6.6.1
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6.6.4
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6.6.5
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►The series in this section converge for all finite values of and .
9: 27.4 Euler Products and Dirichlet Series
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27.4.4
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