of multivalued function
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21—30 of 37 matching pages
21: 4.7 Derivatives and Differential Equations
22: 5.10 Continued Fractions
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5.10.1
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23: 5.17 Barnes’ -Function (Double Gamma Function)
24: 22.15 Inverse Functions
25: 22.14 Integrals
26: 6.4 Analytic Continuation
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6.4.1
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27: 5.11 Asymptotic Expansions
28: 22.16 Related Functions
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22.16.1
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29: Errata
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Subsection 19.11(i)
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Paragraph Confluent Hypergeometric Functions (in §7.18(iv))
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Equations (5.9.10), (5.9.11),
(5.10.1), (5.11.1), (5.11.8)
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A sentence and unnumbered equation
were added which indicate that care must be taken with the multivalued functions in (19.11.5). See (Cayley, 1961, pp. 103-106).
Suggested by Albert Groenenboom.
A note about the multivalued nature of the Kummer confluent hypergeometric function of the second kind on the right-hand side of (7.18.10) was inserted.
To increase the regions of validity the logarithms of the gamma function that appears on their left-hand sides have all been changed to , where is the general logarithm. Originally was used, where is the principal branch of the logarithm. These changes were recommended by Philippe Spindel on 2015-02-06.