Problem 45976. Evaluate the Struve function

Created by ChrisR

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<div style = "text-align: start; line-height: 20.4333px; min-height: 0px; white-space: normal; color: rgb(0, 0, 0); font-family: Menlo, Monaco, Consolas, monospace; font-style: normal; font-size: 14px; font-weight: 400; text-decoration: rgb(0, 0, 0); white-space: normal; "><div style="block-size: 151.583px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 407px 75.7917px; transform-origin: 407px 75.7917px; vertical-align: baseline; "><div style="block-size: 21.8167px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 10.9083px; text-align: left; transform-origin: 384px 10.9083px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; "><span style="block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 12.0583px 7.79167px; transform-origin: 12.0583px 7.79167px; unicode-bidi: normal; "><span style="">The</span></span><span style="block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 1.94167px 7.79167px; transform-origin: 1.94167px 7.79167px; unicode-bidi: normal; "><span style=""> </span></span><a target='_blank' href = "https://en.wikipedia.org/wiki/Struve_function"><span style=""><span style="">Struve function</span></span></a><span style="block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 1.94167px 7.79167px; transform-origin: 1.94167px 7.79167px; unicode-bidi: normal; "><span style=""> </span></span><span style="vertical-align:-6px"><img src="data:image/png;base64,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" alt="H_p(x)" style="width: 40px; height: 20px;" width="40" height="20"></span><span style="block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 190.383px 7.79167px; transform-origin: 190.383px 7.79167px; unicode-bidi: normal; "><span style=""> is a solution to an inhomogeneous form of Bessel's equation:</span></span></div><div style="block-size: 38.95px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 19.475px; text-align: left; transform-origin: 384px 19.475px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; "><span style="block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 15.5333px 7.79167px; transform-origin: 15.5333px 7.79167px; unicode-bidi: normal; "><span style="">        </span></span><span style="vertical-align:-17px"><img src="data:image/png;base64,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" alt="Differential equation from the Wikipedia link" style="width: 271.5px; height: 39px;" width="271.5" height="39"></span></div><div style="block-size: 42px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 21px; text-align: left; transform-origin: 384px 21px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; "><span style="block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 370.333px 7.79167px; transform-origin: 370.333px 7.79167px; unicode-bidi: normal; "><span style="">The Struve function appears in applications of optics and loudspeaker design. I encountered it in developing a model of turbulence in a strongly stratified fluid (e.g., a lake with a large temperature difference).</span></span></div><div style="block-size: 21.8167px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 10.9083px; text-align: left; transform-origin: 384px 10.9083px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; "><span style="block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 87.5167px 7.79167px; transform-origin: 87.5167px 7.79167px; unicode-bidi: normal; "><span style="">Evaluate the Struve function</span></span><span style="block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 1.94167px 7.79167px; transform-origin: 1.94167px 7.79167px; unicode-bidi: normal; "><span style=""> </span></span><span style="vertical-align:-6px"><img src="data:image/png;base64,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" alt="H_p(x)" style="width: 40px; height: 20px;" width="40" height="20"></span><span style="block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 90.625px 7.79167px; transform-origin: 90.625px 7.79167px; unicode-bidi: normal; "><span style=""> for given values of the order </span></span><span style="font-family: &quot;STIXGeneral&quot;, &quot;STIXGeneral-webfont&quot;, serif; font-style: italic; font-weight: 400; color: rgb(0, 0, 0);">p</span><span style="block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 47.0667px 7.79167px; transform-origin: 47.0667px 7.79167px; unicode-bidi: normal; "><span style=""> and argument </span></span><span style="font-family: &quot;STIXGeneral&quot;, &quot;STIXGeneral-webfont&quot;, serif; font-style: italic; font-weight: 400; color: rgb(0, 0, 0);">x</span><span style="block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 1.94167px 7.79167px; transform-origin: 1.94167px 7.79167px; unicode-bidi: normal; "><span style="">.</span></span></div></div></div>

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Last Solution submitted on Feb 03, 2023

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ChrisR on 2 Jan 2021

I added a test to prevent lookup solutions.

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Problem 45976. Evaluate the Struve function

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Problem 45976. Evaluate the Struve function

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