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Let Us Try To Solve The Di Usion Equation U T= ˜ U (12) Inside The Disk Of Radius Ain Polar Coordinates: U= 1 R @ @r R @u @r + 1 R2 @2u @ 2 (13) We Impose Boundary Conditions U(r= A) = 0 With Initial Data U(t= 0) = ˚(r; ). In Polar Coordinates The Previous Equation Becomes: U T= ˜ 1 R @ @r R @u @r + 1 R 2 @2u @ (14) Partial Solutions To This ... 2th, 2021

A DISECTION OF BESSEL FUNCTIONS AND APPLICATION TO ...
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Spectral Zeta Functions For Q-Bessel Equations
There Are Few Cases When The Zeta Functions Can Be Calculated Explicitly. Among Them Some Triangular Billiards [4] And The Circular Billiard (D = Disk). For A Circular Billiard (including The Aharonov-Bohm Billiards [5-7]), The Zeta Function Is Given In Terms Of The Positive Zeros J". Of The Bessel Function Jv(z): M
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