What Does \left[ z^{n} \right] (ln(1-z))^{2} / (1-z)^{m+1} Represent?

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Homework Help Overview

The discussion revolves around the expression \left[ z^{n} \right] (ln(1-z))^{2} / (1-z)^{m+1}, which involves concepts from series expansions and potentially generating functions in the context of mathematical analysis.

Discussion Character

  • Exploratory, Conceptual clarification, Mathematical reasoning

Approaches and Questions Raised

  • Participants discuss the need to analyze the Taylor series for (ln(1-z))^2 and 1/(1-z)^{m+1}, and consider how to combine these series. There is also a question about the nature of the expression itself, with some participants seeking clarification on its intended use.

Discussion Status

The conversation is ongoing, with some participants providing suggestions for exploring Taylor series and others questioning the formulation of the original expression. There is no clear consensus yet, but the discussion is focused on understanding the components involved.

Contextual Notes

There is a noted confusion regarding the expression being an equation versus an expression, which may affect how participants approach the problem. This highlights a potential misunderstanding in the problem setup.

Meekah
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I need help with solving this weird equation...

What is:
\left[ z^{n} \right] (ln(1-z))^{2} / (1-z)^{m+1}?
 
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Can't have an equation without an equals sign. Ahyup.
 
Can you do these two Taylor series (at 0): (ln(1-z))^2 and 1/(1-z)^{m+1} ?
Then take the product of the two series.
 
Meekah said:
I need help with solving this weird equation...

What is:
\left[ z^{n} \right] (ln(1-z))^{2} / (1-z)^{m+1}?
Please restate your question. This is not an equation, it is an expression. What are you trying to do with it?
 

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