The Asymptotic Behavior of an Exponential-Type Series
The limit of a certain function of three variables is shown to be exponential in one variable and independent of the other two. The function is a generalization of an infinite series arising in the calculation of backscattering of sharp laser pulses in an infinite cloud of isotropic scatterers. Conv...
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| Zusammenfassung: | The limit of a certain function of three variables is shown to be exponential in one variable and independent of the other two. The function is a generalization of an infinite series arising in the calculation of backscattering of sharp laser pulses in an infinite cloud of isotropic scatterers. Convexity of the function in a particular region enables the evaluation of the asymptotic behavior without extensive algebraic manipulations. |
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