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Pole expansion and Fourier series of lemniscate sine function

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#fourier-series #periodic-functions #elliptic-functions
171
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Theorems about periodic functions

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#real-analysis #calculus #functions #solution-verification #periodic-functions
90
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Number of subsequences of consecutive sequences in a non-periodic sequence

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#sequences-and-series #combinatorics #induction #pigeonhole-principle #periodic-functions
231
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Uniqueness of the writing $f(x)=cx+p(x)$, $p$ periodic

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#real-analysis #functions #periodic-functions
51
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Flaw in finding $f(x)$ when $f(0)=1$ and $f(10-x)=f(x), f(2-x)=f(2+x), \forall x \in R$

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#functions #periodic-functions
76
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How to determine the periodicity of this function?

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#functions #periodic-functions
28
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Floquet theorem for Hilbert spaces

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#matrices #ordinary-differential-equations #hilbert-spaces #dynamical-systems #periodic-functions
31
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Calculating Fourier coefficient of a split function with time period $y\left(x\right)=\begin{cases}-1&-T<x\le 0\\ 1&0<x\le T\end{cases}$

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#fourier-series #periodic-functions
73
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Finding periodic solutions of a second degree differential equations

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#ordinary-differential-equations #fourier-series #periodic-functions
50
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Weakly lower-semicontinuous functional on $L^2$

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#functional-analysis #periodic-functions #semicontinuous-functions
36
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Fourier transform on a regular lattice: The restricted set of wave-vectors

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#fourier-series #fourier-transform #periodic-functions
46
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Existence of smallest period for continuous, periodic functions

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#periodic-functions
50
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My question is whether given function is periodic or not

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#functions #irrational-numbers #rational-numbers #periodic-functions
30
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Show the partition function $Q(n,k)$, the number of partitions of $n$ into $k$ distinct parts, is periodic mod m

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#number-theory #modular-arithmetic #periodic-functions #integer-partitions
15
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Nontrivial rational solutions for an anticommutative functional equation

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#functional-equations #rational-numbers #periodic-functions

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