ERFI Imaginary Error Function
ERFI.1 Introduction |
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Let
be a complex variable of
.The function Imaginary Error Function (noted
) is defined by the following second order differential equation
| ERFI.1.1 |
The initial conditions of ERFI.1.1 are given at
by
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ERFI.1.2 |
ERFI.2 Series and asymptotic expansions |
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ERFI.2.1 Taylor expansion at
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ERFI.2.1.2 General form |
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ERFI.2.1.2.1 |
![$u (n)$](ERFI_12.gif)
| ERFI.2.1.2.2 |
| ERFI.2.1.2.3 |
ERFI.2.2 Asymptotic expansion at
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ERFI.2.2.2 General form |
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ERFI.2.2.2.1 Auxiliary function
The coefficients
![$u (n)$](ERFI_19.gif)
![$y _{0} (x)$](ERFI_20.gif)
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