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- W1551173136 abstract "In this paper we consider the Bessel-Struve operator $l_alpha$ and the Bessel-Struve intertwining operator $chi_alpha$ and its dual, we define and study the Bessel-Struve Sonine transform $S_{alpha,beta}$ on $mathcal{E}(mathbb{R})$. We prove that $S_{alpha,beta}$ is a transmutation operator from $l_alpha$ into $l_beta$ on $mathcal{E}(mathbb{R})$ and we deduce similar result for its dual $S_{alpha,beta}^*$ on $mathcal{E}'(mathbb{R})$. Furthermore, invoking Weyl integral transform and the Dual Sonine transform $^tS_{alpha,beta}$ on $mathcal{D}(mathbb{R})$, we get a relation between the Bessel-Struve transforms $mathcal{F}^alpha_{BS} $ and $mathcal{F}^beta_{BS} $." @default.
- W1551173136 created "2016-06-24" @default.
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- W1551173136 creator A5081708494 @default.
- W1551173136 date "2010-11-24" @default.
- W1551173136 modified "2023-09-27" @default.
- W1551173136 title "Sonine Transform Associated to the Bessel-Struve Operator" @default.
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