- #1
subhadra
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Homework Statement
expansion of e^z/z*(1-z)
How do I find the Laurent series expansion of e^z/z*(1-z)?
- Thread starter subhadra
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SUMMARY
The discussion centers on finding the Laurent series expansion of the function \( \frac{e^z}{z(1-z)} \). Participants emphasize the importance of breaking down the function into simpler components, specifically focusing on the series expansion of \( e^z \) and the geometric series for \( \frac{1}{1-z} \). The conversation highlights the necessity of identifying singularities in the function to correctly apply the Laurent series methodology.
PREREQUISITES- Understanding of Laurent series and their applications in complex analysis.
- Familiarity with Taylor series, particularly the expansion of \( e^z \).
- Knowledge of geometric series and their convergence properties.
- Basic concepts of singularities in complex functions.
- Study the derivation of the Taylor series for \( e^z \) in detail.
- Learn about the properties and applications of Laurent series in complex analysis.
- Research the convergence criteria for geometric series, especially in the context of complex variables.
- Explore examples of functions with singularities and their Laurent series expansions.
Students and professionals in mathematics, particularly those studying complex analysis, as well as educators looking for examples of series expansions involving exponential functions.
expansion of e^z/z*(1-z)
- #2
tiny-tim
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hi subhadra! 
(try using the X2 button just above the Reply box
)
show us what you've tried, and where you're stuck, and then we'll know how to help!
(try using the X2 button just above the Reply box
)show us what you've tried, and where you're stuck, and then we'll know how to help!
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