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- W2100076316 abstract "In this article, we introduce a new class of analytic functions of the unit disc $mathbf{D}$ namely the Exponential Cauchy Transforms $mathbf{{K}_{e}}$ defined by f(z)= {displaystyleint_{mathbf{T}}} expleft[ Kleft( xzright) right] dmu(x) where $Kleft( zright) =left( 1-zright) ^{-1}$ is classical Cauchy kernel and $mu(x)$ is a complex Borel measures and $x$ belongs to the unit circle $mathbf{T}$ . We use Laguerre polynomials to explore the coefficients of the Taylor expansions of the kernel and Peron's formula to study the asymptotic behavior of the Taylor coefficients. Finally we investigate relationships between our new class $mathbf{{K}_{e}}$, the classical Cauchy space $mathbf{K}$ and the Hardy spaces $H^{p}$." @default.
- W2100076316 created "2016-06-24" @default.
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- W2100076316 date "2012-01-01" @default.
- W2100076316 modified "2023-09-24" @default.
- W2100076316 title "Exponential Cauchy Transforms" @default.
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- W2100076316 doi "https://doi.org/10.5899/2012/jiasc-00005" @default.
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