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15
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Find the Laurent Series expansion.

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#complex-analysis #summation #power-series #laurent-series
186
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Simple way to evaluate $f(n)= \sum_{r=0}^{\infty}r^n x^r$

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#recurrence-relations #power-series #stirling-numbers #polylogarithm
92
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Summation of a trigonometric series involving $\arctan x$

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#trigonometry #power-series
214
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Very slowly converging power series without a closed form value

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#convergence-divergence #numerical-methods #power-series
257
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Solve Duffing equation to first order with asymptotic power series

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#ordinary-differential-equations #asymptotics #power-series #perturbation-theory
688
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Prove the AGM identity using only Hypergeometric series

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#power-series #hypergeometric-function
146
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How can I get a good approximation of $\sum_{s=1}^\infty x^s\ln(s)\ $?

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#calculus #summation #power-series #approximation
30
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Is it true that $\sum_{i=1}^n a_i ( i b_{i} -(i-1) b_{i-1}) \in O(\log n)$?

Published on
#sequences-and-series #power-series #approximation #time-series
501
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Uniform limit of continuous analytic functions is analytic

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#power-series #uniform-convergence
1.5k
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Which are the "First Two Terms" of a Binomial Expansion?

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#soft-question #power-series #definition
200
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Expansion in series acoording to descending powers of $\frac{1}{\sqrt{(x+R)^2+y^2+z^2}}$

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#power-series #taylor-expansion #laurent-series
169
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Prove that $a^3+b^3+c^3=1+3abc$, where $a$, $b$ and $c$ are power series.

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#real-analysis #power-series #taylor-expansion #contest-math
311
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Prove that the holomorphic function defined by a certain sum can't be extended to a neighborhood of 1

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#complex-analysis #power-series #holomorphic-functions #analytic-continuation
72
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What are some $e^x$ identities to help me complete this proof?

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#probability #power-series
93
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Question about a statement in a proof about complex power series

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#complex-analysis #power-series #analytic-functions

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