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

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OASIS Issues Tracker <>
Date
2018-11-21T23:36:02+00:00
ID
Thread
[OASIS Issue Tracker] (OFFICE-4005) Remove "non-negative integer" constraint from BESSELJ function
Regina Henschel created OFFICE-4005:
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             Summary: 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


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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