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Integrating $\int x\frac{\operatorname{Ai}'(x+a)}{\operatorname{Ai}(x+a)}dx$

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#calculus #integration #special-functions #airy-functions
115
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Proof of conjecture concerning numerically satisfactory pairs of solutions to generalized Airy equation?

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#ordinary-differential-equations #proof-writing #numerical-methods #hypergeometric-function #airy-functions
257
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Projection of a matrix onto its positive (or negative) eigenspace?

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#linear-algebra #probability #airy-functions
291
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Using Sturm's Comparison Theorem to bound the distance between two consecutive zeroes of ODE

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#ordinary-differential-equations #airy-functions
145
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Find Bi(x) equation given Ai(x)

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#real-analysis #calculus #ordinary-differential-equations #airy-functions
386
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Convergence of the Airy function from Integral by parts

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#integration #complex-analysis #asymptotics #airy-functions
720
Views

Normalizing an Airy Function $Ai(z)$

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#calculus #quantum-mechanics #airy-functions
283
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Integral involving derivatives of Airy functions

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#integration #airy-functions
75
Views

Integration of a product of Airy function and gaussian function

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#indefinite-integrals #bessel-functions #airy-functions
109
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Asymptotic expansion of $\int_{-\infty}^{\infty} e^{ix\left(\frac{t^3}{3}+t\right)}dt $

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#asymptotics #airy-functions
51
Views

Leibniz integral rule for the Airy function.

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#integration #leibniz-integral-rule #airy-functions
60
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Equivalence of 2 types of Airy function definition

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#special-functions #airy-functions
55
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Convergence of the integral definition of the Airy function

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#convergence-divergence #improper-integrals #special-functions #airy-functions
53
Views

Airy function zeros.

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#real-analysis #airy-functions #lagrange-inversion
57
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Hilbert transform of the integral of a function

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#functional-analysis #complex-analysis #integral-transforms #cauchy-principal-value #airy-functions

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