Asymptotic expansions of 𝒴η transform: Integral Transforms and Special Functions: Vol 16, No 5-6

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Abstract

The article is devoted to the investigation of the asymptotic behavior at zero of the integral transform

containing the Bessel function of the second kind Y _η(z) in the kernel. It is established that (𝒴_η f)(λ) has power or power-logarithmic expansion, as λ→+0, provided that a function f(t) has power asymptotic estimate at ∞.

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Asymptotic expansions of 𝒴_η transform

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Asymptotic expansions of 𝒴η transform

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Asymptotic expansions of 𝒴_η transform