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Subject: [OASIS Issue Tracker] (OFFICE-4005) Remove "non-negative integer" constraint from BESSELJ function

• From: OASIS Issues Tracker <workgroup_mailer@lists.oasis-open.org>
• To: office@lists.oasis-open.org
• Date: Thu, 22 Nov 2018 00:00:00 +0000 (UTC)

[ https://issues.oasis-open.org/browse/OFFICE-4005?page=com.atlassian.jira.plugin.system.issuetabpanels:comment-tabpanel&focusedCommentId=72179#comment-72179 ]

Alfred Hellstern commented on OFFICE-4005:
------------------------------------------

Note that the OOXML specification 18.17.7.24 does specify non-negative currently:

{{Â Â Â Â Â ÂHowever, if n < 0, #NUM! is returned.}}

> Remove "non-negative integer" constraint from BESSELJ function
> --------------------------------------------------------------
>
>                 Key: OFFICE-4005
>                 URL: https://issues.oasis-open.org/browse/OFFICE-4005
>             Project: OASIS Open Document Format for Office Applications (OpenDocument) TC
>          Issue Type: Improvement
>          Components: OpenFormula
>            Reporter: Regina Henschel
>            Priority: Minor
>
> The BESSELJ function ( section 6.16.13 in ODF1.3 draft) has the Constraints "N >= 0, INT(N)=N; Evaluators may evaluate expressions where N >= 0 returns a non-error value."
> But the order N need not be non-negative, there exists reflection formulae. And the order N need not be integer, fractional order, especially half-integer is used too.
> References:
> [http://functions.wolfram.com/webMathematica/FunctionPlotting.jsp?name=BesselJ&ptype=3&n=1&z=1&threeDtype2=0&part2=0&free1=n&free2=z&Min1=-5&Max1=5&Min2=-5&Max2=5]
> [https://en.wikipedia.org/wiki/Bessel_function]
> [https://www.boost.org/doc/libs/1_48_0/libs/math/doc/sf_and_dist/html/math_toolkit/special/bessel/bessel.html]
> [https://stat.ethz.ch/R-manual/R-devel/library/base/html/Bessel.html]

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