Rearranging exponential functions
Using two different strategies, I've derived an equation for a particular function . That equation is
However, the paper whose result I'm trying to replicate is telling me that the function is
Is there a way to rearrange the result I got so that it matches the result in the paper?
What's confusing me about this is that the function needs to be such that and . This is true of the equation I derived. But for the equation in the paper, only if , which is not the case in the specific example given later in the paper. So something weird is afoot (either on my part or on the paper's).