Difference between revisions of "Documentation/How Tos/Calc: BESSELI function"
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== BESSELI == | == BESSELI == | ||
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: returns the modified Bessel function of the first kind, of order <tt>'''n'''</tt>, evaluated at <tt>'''x'''</tt>. | : returns the modified Bessel function of the first kind, of order <tt>'''n'''</tt>, evaluated at <tt>'''x'''</tt>. | ||
| − | : The modified Bessel function of the first kind <tt><i>I<sub>n</sub></i>(<i>x</i>) = <i>i<sup>-n</sup>J<sub>n</sub></i>(<i>ix</i>)</tt>, where <tt><i>J<sub>n</sub></i></tt> is the Bessel function of the first kind. | + | : The modified Bessel function of the first kind <tt><i>I<sub>n</sub></i>(<i>x</i>) = <i>i<sup>-n</sup>J<sub>n</sub></i>(<i>ix</i>)</tt>, where <tt><i>J<sub>n</sub></i></tt> is the * [[Documentation/How_Tos/Calc: BESSELJ function|Bessel function of the first kind]]. |
=== Example: === | === Example: === | ||
<tt>'''BESSELI(1; 1)'''</tt> | <tt>'''BESSELI(1; 1)'''</tt> | ||
: returns <tt>'''0.565159103992'''</tt>. | : returns <tt>'''0.565159103992'''</tt>. | ||
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=== Issues: === | === Issues: === | ||
* This function currently appears in the AddIn category of the Function Wizard. | * This function currently appears in the AddIn category of the Function Wizard. | ||
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| + | {{SeeAlso|EN| | ||
| + | * [[Documentation/How_Tos/Calc: BESSELJ function|BESSELJ]] | ||
| + | * [[Documentation/How_Tos/Calc: BESSELK function|BESSELK]] | ||
| + | * [[Documentation/How_Tos/Calc: BESSELY function|BESSELY]] | ||
| + | |||
| + | * [[Documentation/How_Tos/Calc: Mathematical functions|Mathematical functions]] | ||
| + | |||
| + | * [[Documentation/How_Tos/Calc: Functions listed alphabetically|Functions listed alphabetically]] | ||
| + | * [[Documentation/How_Tos/Calc: Functions listed by category|Functions listed by category]]}} | ||
| + | [[Category: Documentation/Reference/Calc/Mathematical functions]] | ||
Latest revision as of 15:03, 31 January 2024
- Mathematical FunctionsTrigonometric
- COSSINTANCOTACOSACOTASINATANATAN2DEGREESRADIANSPIHyperbolic
- COSHSINHTANHCOTHACOSHACOTHASINHATANHRounding and remainders
- TRUNCROUNDROUNDDOWNROUNDUPCEILINGFLOOREVENODDMROUNDINTQUOTIENTMODLogarithm/Powers
- EXPPOWERLOGLNLOG10Bessel functions
- BESSELIBESSELJBESSELKBESSELYMiscellaneous
- ABSCOMBINCOMBINACONVERTCONVERT ADDCOUNTBLANKCOUNTIFDELTAERFERFCFACTFACTDOUBLEGCDGCD ADDGESTEPISEVENISODDLCMLCM ADDMULTINOMIALPRODUCTRANDRANDBETWEENSERIESSUMSIGNSQRTSQRTPISUBTOTAL
BESSELI
Calculates the modified Bessel function of the first kind.
Syntax:
BESSELI(x; n)
- returns the modified Bessel function of the first kind, of order n, evaluated at x.
- The modified Bessel function of the first kind In(x) = i-nJn(ix), where Jn is the * Bessel function of the first kind.
Example:
BESSELI(1; 1)
- returns 0.565159103992.
Issues:
- This function currently appears in the AddIn category of the Function Wizard.
See Also
-
