Wolfram | Integral Transforms through Mellin-Barnes Integration @WolframResearch | Uploaded March 2024 | Updated October 2024, 1 day ago.
We first delineate the wide range of special functions can be written in terms of the superfunctions MeijerG and FoxH. We then explain how these representations can be applied to evaluate large generic families of integral transforms through Mellin-Barnes integration. Finally, we introduce and show results for the computational realization of this work, ResourceFunction["GenericIntegralTransform"] and demonstrate some applications to problems in math and physical science.
We first delineate the wide range of special functions can be written in terms of the superfunctions MeijerG and FoxH. We then explain how these representations can be applied to evaluate large generic families of integral transforms through Mellin-Barnes integration. Finally, we introduce and show results for the computational realization of this work, ResourceFunction["GenericIntegralTransform"] and demonstrate some applications to problems in math and physical science.
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In this episode of Live CEOing, Stephen Wolfram discusses upcoming improvements and functionality to Wolfram Language. If youd like to contribute to the discussion in future episodes, you can participate through this YouTube channel or through the official Twitch channel of Stephen Wolfram here: https://www.twitch.tv/stephen_wolfram
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In this episode of Live CEOing, Stephen Wolfram discusses upcoming improvements and functionality to Wolfram Language. If youd like to contribute to the discussion in future episodes, you can participate through this YouTube channel or through the official Twitch channel of Stephen Wolfram here: https://www.twitch.tv/stephen_wolfram
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