(For other notation see Notation for the Special Functions.)
integers, nonnegative unless stated otherwise. |
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real or complex variables. |
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prime. |
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divides . |
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greatest common divisor of . |
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and relatively prime. |
Unless otherwise noted, the formulas in this chapter hold for all values of the variables and , and for all nonnegative integers .
The origin of the notation , , is not clear. The present notation, as defined in §24.2(i), was used in Lucas (1891) and Nörlund (1924), and has become the prevailing notation; see Table 24.2.1. Among various older notations, the most common one is
, | |||
, | |||
, | |||
. |
It was used in Saalschütz (1893), Nielsen (1923), Schwatt (1962), and Whittaker and Watson (1927).