Simplify Hypergeometric function ${\mbox{$_2$F$_2$}(-i,-i;\,1-2\,i,2-i;\,{{\rm e}^{Y}})}$

Asked Jun 03 '16 at 14:46

Active Jun 03 '16 at 15:05

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Any suggestion how I could simplify this function, where $i$ is the complex unit?

$${\mbox{$_2$F$_2$}(-i,-i;\,1-2\,i,2-i;\,{{\rm e}^{Y}})}$$

I allready tried, without success, to simplify this expression with Maple using

simplify(...,hypergeom)

Or is there at least a way to express this function approximately?

edited Jun 03 '16 at 15:05

asked Jun 03 '16 at 14:46

MrYouMath

Where does this come from? – kennytm Jun 03 '16 at 14:56
Silly question, but is $i$ the complex unit? – Jun 03 '16 at 14:59
@kennytm: It is one solution to a 3rd order linear ODE with nonconstant coefficients. The general solution had more terms, but I selected the parameter to reduce to this form. – MrYouMath Jun 03 '16 at 15:04
@ Bacon: $i$ is the complex unit. – MrYouMath Jun 03 '16 at 15:05

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