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Even and odd Hermite polynomials

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#polynomials #recurrence-relations #hermite-polynomials #even-and-odd-functions
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If $\frac{df(x)}{dx} = e^{-x}\,f(x) + e^{x}\,f(-x)$, then is $f(x)$ even or odd?

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#calculus #integration #even-and-odd-functions
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Can anybody explain to me why this Rational Function is odd?

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#even-and-odd-functions
177
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If $f$ is an odd function that is holomorphic in $\mathbb{C}- \{0\}$ such that $|f(z)| \leq \frac1{|z|}+ |z|^2$, then $f(z) = \frac{a_{-1}}{z} + a_1z$

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#complex-analysis #laurent-series #even-and-odd-functions
222
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Even and odd functions and whether even/odd characteristics change with powers

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#even-and-odd-functions
29
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Value of an even, periodic function

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#functions #even-and-odd-functions
1k
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Is $\sqrt{x^2}$ even or odd?

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#algebra-precalculus #even-and-odd-functions
236
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Integral is zero; is the integrand necessarily odd?

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#integration #continuity #exponential-function #fourier-series #even-and-odd-functions
153
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How can a function defined on symmetrically placed interval be written as sum of an even and odd function?

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#fourier-series #even-and-odd-functions
104
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Creating an odd function $f(x)$ such that $g(x) = f(x - 18)$ is an even function

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#algebra-precalculus #even-and-odd-functions
423
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Is an odd/even function multiplied by $i$ still an odd/ even function?

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#even-and-odd-functions
262
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Integral using even function

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#integration #definite-integrals #even-and-odd-functions
833
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Does real characteristic function imply even density

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#probability-theory #density-function #characteristic-functions #even-and-odd-functions
77
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Please help me understand the solution to this graph

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#fourier-analysis #periodic-functions #even-and-odd-functions
486
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Are bump functions even within their compact support?

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#real-analysis #calculus #even-and-odd-functions

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