Shi
المؤلف:
Abramowitz, M. and Stegun, I. A
المصدر:
"Sine and Cosine Integrals." §5.2 inHandbook of Mathematical Functions with Formulas, Graphs, and Mathematical Tables, 9th printing. New York: Dover
الجزء والصفحة:
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1-8-2019
1613
Shi
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
(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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