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Date: 22-5-2019
3701
Date: 18-8-2019
2836
Date: 2-5-2019
2486
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As defined by Erdélyi et al. (1981, p. 20), the -function is given by
(1) |
where is the digamma function. Integral representations are given by
(2) |
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(3) |
for . is also given by the series
(4) |
and in terms of the hypergeometric function by
(5) |
It obeys the functional relations
(6) |
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(7) |
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(8) |
REFERENCES:
Erdélyi, A.; Magnus, W.; Oberhettinger, F.; and Tricomi, F. G. "The Function ." §1.8 in Higher Transcendental Functions, Vol. 1. New York: Krieger, pp. 20 and 44-46, 1981.
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