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Upper bounding $\|\sum_{k = 0}^{N} \frac{(At)^k}{k!}\|$

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#linear-algebra #taylor-expansion #upper-lower-bounds #matrix-exponential #matrix-norms
94
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3rd Degree Taylor Polynomial

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#ordinary-differential-equations #taylor-expansion
41
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Surfaces of revolution with a more complex function

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#calculus #integration #taylor-expansion #trigonometric-integrals
72
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Cauchy integral and taylor serie

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#complex-analysis #taylor-expansion #complex-integration #cauchy-integral-formula
55
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How do I know whether I over or underestimated the value of a definite integral of a function?

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#calculus #solution-verification #taylor-expansion
34
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k-Jet of a function $f:R^3 \rightarrow R$

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#calculus #optimization #taylor-expansion #maxima-minima #hessian-matrix
26
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Finding a relationship between series coefficients in a system of integral equations: A challenge in solving the resulting linear system

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#calculus #sequences-and-series #taylor-expansion #power-series #hypergeometric-function
53
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Expectations with respect to affine transformation of a log-normal distribution.

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#probability #sequences-and-series #probability-theory #taylor-expansion #normal-distribution
134
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It is possible to find a power series approximation to the following smooth function $h(x)$?

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#real-analysis #taylor-expansion #power-series #approximation #smooth-functions
71
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Find the value of $\sum_{d=0}^\infty\binom{d+m-1}{m-1}\frac{x^d}{d!}$.

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#combinatorics #taylor-expansion #binomial-coefficients #generating-functions #multisets
104
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Taylor Series Expansion of a Vector Cross product

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#linear-algebra #functional-analysis #multivariable-calculus #partial-differential-equations #taylor-expansion
363
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Solving $f(z) = f( z-z^2)$ for $f : \mathbb{C} \to \mathbb{C}$ analytic

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#complex-analysis #solution-verification #induction #taylor-expansion #functional-equations
70
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Seeking the generating function of $\left( 1+\epsilon^2 - 2\epsilon x \right)^{-1}$

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#real-analysis #calculus #sequences-and-series #taylor-expansion #legendre-functions
64
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Question about truncating Taylor expansion and absorb the rest in a big Oh bound

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#analysis #inequality #proof-explanation #asymptotics #taylor-expansion
61
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Proving Maximal Derivative Bound for a Twice Continuously Differentiable Function on a Closed Interval

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#real-analysis #derivatives #taylor-expansion

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