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Functions f(x) equal to Taylor series vs Fourier series vs Bessel series

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#complex-analysis #taylor-expansion #fourier-series #bessel-functions
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Inhomogeneous modified Bessel differential equation

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#ordinary-differential-equations #bessel-functions
1.8k
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2D Fourier transform of $1/(x^2-y^2+q)$

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#integration #fourier-analysis #bessel-functions
203
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Integral solution using modified Bessel function of order 1

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#improper-integrals #bessel-functions
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Bessel Function to Exponential Function

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#ordinary-differential-equations #exponential-function #bessel-functions
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Product of two exponentially distributed random variables

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#integration #probability-theory #probability-distributions #bessel-functions
100
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Differential Equation trouble with bessel functions

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#ordinary-differential-equations #bessel-functions
73
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What is the closed form of a certain sum

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#special-functions #hypergeometric-function #bessel-functions
652
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How to prove the identity $\sum_{n\in\mathbb{Z}}J_n(x)\,J_{n+m}(x) = 0$ using the Bessel generating function?

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#generating-functions #bessel-functions
98
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How to derive $J_v(x)$

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#derivatives #bessel-functions
53
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Prove that $\log I_{\nu}(x)$ is concave

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#convex-analysis #bessel-functions
1.1k
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Sum of Bessel functions and integral of exponential of sine or cosine

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#closed-form #bessel-functions
596
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Taking the Fourier transform of a Hankel function

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#numerical-methods #fourier-analysis #bessel-functions
1.1k
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Does this Infinite summation of Bessel function has a closed form?

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#bessel-functions
39
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a question on upper bound for Bessel function $K_{2it}(x)$

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#number-theory #analytic-number-theory #bessel-functions #l-functions

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