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$L^\infty$ bound on solution to Airy euqation

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#partial-differential-equations #upper-lower-bounds #airy-functions
346
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Airy function value and derivative value at 0

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#integration #contour-integration #gamma-function #airy-functions
155
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Integral Representation for the Square of the Airy Fuction

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#airy-functions
125
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Integral involving Airy functions and exponential

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#calculus #integration #exponential-function #indefinite-integrals #airy-functions
107
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Integral involving Airy functions and exponential function

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#integration #complex-analysis #exponential-function #infinity #airy-functions
189
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Solution to the Airy equation with real part

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#integration #complex-analysis #lebesgue-integral #complex-integration #airy-functions
78
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Show dominated convergence to exchange the order of differentiation and integration

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#integration #complex-analysis #complex-integration #airy-functions
302
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where does the airy function integral representation come from

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#quantum-mechanics #airy-functions
144
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Fourier transform of Airy function

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#fourier-transform #bessel-functions #airy-functions
322
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Solving the first-order non-linear differential equation $y' = y^2 - 2 x$

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#ordinary-differential-equations #special-functions #cauchy-problem #airy-functions
81
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Inverse and extension of the $n$th Airy Ai and Bi zero

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#roots #inverse-function #analytic-continuation #meromorphic-functions #airy-functions
285
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Reducing Airy differential equation to Bessel equation

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#ordinary-differential-equations #bessel-functions #airy-functions
60
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Limit of Ai$(x)$ from above

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#limits #airy-functions

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