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Closed form expression for Taylor-like series in 2 variables in positive characteristic

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#abstract-algebra #power-series #positive-characteristic
52
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Exponential generating function with recurrent coefficients

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#recurrence-relations #power-series #generating-functions
88
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Properties of semi inner product space by integration against weight function

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#definite-integrals #power-series #inner-products #solution-verification
88
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Does $\lim\limits_{n \rightarrow \infty} \sum_{i=1}^n 4 \cdot 5^i - 5^{n+1}=-1$?

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#sequences-and-series #power-series #p-adic-number-theory
49
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Is a Maclaurin series in an interval that doesn't include $0$ unique?

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#real-analysis #complex-analysis #functional-analysis #analysis #power-series
235
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Does this "inverse Taylor series" exist in literature?

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#reference-request #power-series #taylor-expansion #approximation-theory
149
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Showing that logarithmically convex Reinhardt domain is a domain of convergence of Laurent series

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#complex-analysis #analysis #power-series #laurent-series
50
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Prove that $z=0$ is an essential singularity of $g(z)=e^{\frac{1}{z}}f(z)$ when $f(z)$ is analytic on $z=0$

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#complex-analysis #power-series #taylor-expansion #laurent-series #singularity
135
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Calculating an infinite sum using Newton's generalized binomial theorem

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#real-analysis #calculus #sequences-and-series #analysis #power-series
88
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Finding The Function For An Unusual Sequence

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#calculus #sequences-and-series #algebra-precalculus #functions #power-series
243
Views

Radius of convergence of a complex series

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#complex-analysis #convergence-divergence #power-series #uniform-convergence
49
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$\sum_{1}^{\infty} \frac{1}{(1+nz)^k}$ is absolutely convergent.

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#sequences-and-series #complex-analysis #convergence-divergence #power-series #absolute-convergence
239
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Binomial series and relationship between two consecutive terms

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#calculus #sequences-and-series #power-series #binomial-theorem
41
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Find the radius of convergence of the power series representing $\frac{1}{2-z}$

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#sequences-and-series #complex-analysis #power-series
250
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Find radius of convergence for a complicated series for $f'(f(x)) = f(f'(x))$

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#sequences-and-series #complex-analysis #power-series #taylor-expansion #functional-equations

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