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Date: 12-10-2018
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Date: 7-9-2019
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Date: 15-5-2018
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The hyperbolic sine integral, often called the "Shi function" for short, is defined by
(1) |
The function is implemented in the Wolfram Language as the function SinhIntegral[z].
It has Maclaurin series
(2) |
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(3) |
(OEIS A061079).
It has derivative
(4) |
and indefinite integral
(5) |
REFERENCES:
Abramowitz, M. and Stegun, I. A. (Eds.). "Sine and Cosine Integrals." §5.2 inHandbook of Mathematical Functions with Formulas, Graphs, and Mathematical Tables, 9th printing. New York: Dover, pp. 231-233, 1972.
Sloane, N. J. A. Sequence A061079 in "The On-Line Encyclopedia of Integer Sequences."
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