When ,
14.23.1 | |||
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14.23.2 | |||
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In terms of the hypergeometric function (§14.3(i))
14.23.3 | |||
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Conversely,
14.23.4 | ||||
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14.23.5 | ||||
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or equivalently,
14.23.6 | |||
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If cuts are introduced along the intervals and , then (14.23.4) and (14.23.6) could be used to extend the definitions of and to complex .
The conical function defined by (14.20.2) can be represented similarly by
14.23.7 | |||
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