What is the meaning of the subscript in the polygamma function?

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The discussion centers on the interpretation of the subscript in the polygamma function, specifically in relation to the expression provided by Wolfram Alpha for a partial sum formula. The participants clarify that the subscript e^(2/x) is associated with the first derivative of the polygamma function, also known as the trigamma function. The confusion arises from the lack of clarity regarding the significance of this subscript in the context of the formula.

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rman144
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So I've been working on a proof and Wolfram Alpha gives the following partial sum formula for one of the summations in the proof:

http://www.wolframalpha.com/input/?i=sum[e^(-(2k+1)/x)/(1+e^(-(2k+1)/x)+)^2+]

What does the terminology involving psi mean? I think it is the first derivative of the polygamma function, but I don't understand what the subscript e^(2/x) means.

Thanks in advance for the help.
 
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I don't know what that subscript means either. It's funny that W|A thinks that it needs to tell you what the natural logarithm is but not the (variant of the) trigamma function.
 

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