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15
Math.TechQA.Club
2026-03-28 16:29:21
58
Views
Prove that $y = J_0(2 \sqrt x)$ is a solution of $x\ddot y + \dot y + y = 0$
Published on
28 Mar 2026 - 16:29
#real-analysis
#ordinary-differential-equations
#special-functions
#bessel-functions
#sturm-liouville
815
Views
$\int_0^\infty \frac{u^5 \, J_0\left( u\right)}{\left( u^2+x^2 \right)^{1/2}}\,e^{- u-\left( u^2+x^2 \right)^{1/2} }\,\mathrm{d}u $
Published on
15 May 2023 - 16:47
#calculus
#integration
#sequences-and-series
#improper-integrals
#bessel-functions
94
Views
Intersection of two Bessel functions
Published on
16 May 2023 - 9:12
#roots
#bessel-functions
#ratio
85
Views
Mellin transform *triads*
Published on
25 Mar 2026 - 17:16
#complex-analysis
#analytic-number-theory
#riemann-zeta
#bessel-functions
#mellin-transform
35
Views
Limit of Infinite Sum of Bessel Function of Second Kind
Published on
16 May 2023 - 21:07
#sequences-and-series
#bessel-functions
192
Views
Analytic continuation of a series $\Psi(s)$?
Published on
26 Mar 2026 - 11:04
#contour-integration
#analytic-number-theory
#gamma-function
#bessel-functions
#analytic-continuation
57
Views
the translation operator associated with the Bessel operator
Published on
21 May 2023 - 19:58
#definite-integrals
#operator-theory
#bessel-functions
36
Views
Concavity of ratio of modified Bessel function
Published on
22 May 2023 - 6:57
#bessel-functions
35
Views
I need some reference about the Fourier-bessel transform
Published on
25 Mar 2026 - 23:56
#fourier-transform
#bessel-functions
#integral-transforms
73
Views
Dirac Delta Representation in terms of Bessel Y
Published on
30 Mar 2026 - 7:07
#dirac-delta
#bessel-functions
63
Views
Integral of the product of Hankel function and exponential
Published on
28 May 2023 - 21:08
#definite-integrals
#closed-form
#bessel-functions
262
Views
Find $\int_0^\frac\pi2e^{i(ut+v\cos(t))}dt$ or $\int_0^\frac\pi2\sin(w+ut+v\cos(t))dt$ to invert $\frac{\sin(x)}x$
Published on
25 Mar 2026 - 21:51
#fourier-series
#closed-form
#bessel-functions
#trigonometric-integrals
#transcendental-equations
385
Views
Integrating $\int_0^\infty\frac{u^2}{\sqrt{u^2+a^2}}J_1(ru)e^{-z\sqrt{u^2+a^2}}du$
Published on
31 May 2023 - 9:37
#calculus
#integration
#definite-integrals
#improper-integrals
#bessel-functions
59
Views
Indefinite integral of product of exponential and Modified Bessel function with different arguments
Published on
31 May 2023 - 17:21
#indefinite-integrals
#bessel-functions
27
Views
Proof product propriety of bessel function
Published on
25 Mar 2026 - 23:56
#analysis
#special-functions
#bessel-functions
#integral-transforms
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