Erfi
المؤلف:
Sloane, N. J. A
المصدر:
Sequences A000079/M1129, A001147/M3002, and A084253 in "The On-Line Encyclopedia of Integer Sequences."
الجزء والصفحة:
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18-11-2018
816
Erfi
The "imaginary error function" 
is an entire function defined by
 |
(1)
|
where 
is the erf function. It is implemented in the Wolfram Language as Erfi[z].
has derivative
 |
(2)
|
and integral
 |
(3)
|
It has series about 
given by
 |
(4)
|
(where the terms are OEIS A084253), and series about infinity given by
 |
(5)
|
REFERENCES:
Sloane, N. J. A. Sequences A000079/M1129, A001147/M3002, and A084253 in "The On-Line Encyclopedia of Integer Sequences."
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