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

  • Thread starter Thread starter rman144
  • Start date Start date
  • Tags Tags
    Function
rman144
Messages
34
Reaction score
0
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.
 
Physics news on Phys.org
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.
 

Thread 'Trouble understanding an online solution to an exercise in Dummit & Foote'

##\textbf{Exercise 10}:## I came across the following solution online: Questions: 1. When the author states in "that ring (not sure if he is referring to ##R## or ##R/\mathfrak{p}##, but I am guessing the later) ##x_n x_{n+1}=0## for all odd $n$ and ##x_{n+1}## is invertible, so that ##x_n=0##" 2. How does ##x_nx_{n+1}=0## implies that ##x_{n+1}## is invertible and ##x_n=0##. I mean if the quotient ring ##R/\mathfrak{p}## is an integral domain, and ##x_{n+1}## is invertible then...
View full post »

Thread 'Questions about non existence of GCDs vs (coimages, cokernels)'

The following are taken from the two sources, 1) from this online page and the book An Introduction to Module Theory by: Ibrahim Assem, Flavio U. Coelho. In the Abelian Categories chapter in the module theory text on page 157, right after presenting IV.2.21 Definition, the authors states "Image and coimage may or may not exist, but if they do, then they are unique up to isomorphism (because so are kernels and cokernels). Also in the reference url page above, the authors present two...
View full post »

Thread 'Decomposition into irreps of compact Lie group'

When decomposing a representation ##\rho## of a finite group ##G## into irreducible representations, we can find the number of times the representation contains a particular irrep ##\rho_0## through the character inner product $$ \langle \chi, \chi_0\rangle = \frac{1}{|G|} \sum_{g\in G} \chi(g) \chi_0(g)^*$$ where ##\chi## and ##\chi_0## are the characters of ##\rho## and ##\rho_0##, respectively. Since all group elements in the same conjugacy class have the same characters, this may be...
View full post »

Similar threads

Does the series Σln(1+e^-n)/n converge?
Replies
3
Views
2K
Somewhat convoluted algebra problem
Replies
1
Views
2K
Particle in a box that suddenly expands
Replies
15
Views
3K
Maximize multivariable function with infinite maxima
Replies
3
Views
2K
Inflection Point Without Sign Change
Replies
9
Views
2K
Trying to integrate a non one-to-one parametric function
Replies
3
Views
2K
Why Do Different Calculations Yield Varying Limits for e?
Replies
2
Views
2K
Why Does This Integral in a Cube Differ from Wolfram Alpha's Solution?
Replies
4
Views
1K
Integral of a rational function
Replies
6
Views
2K
Spherical GR dust shell with vacuum inside and outside
Replies
7
Views
3K

Hot Threads

Recent Insights

Back
Top