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 [[Documentation/How_Tos/Calc: BESSELJ function|Bessel function of the first kind]].
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: 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: ===
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: returns <tt>'''0.565159103992'''</tt>.
 
: returns <tt>'''0.565159103992'''</tt>.
  
=== See also: ===
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=== Issues: ===
'''[[Documentation/How_Tos/Calc: BESSELJ function|BESSELJ]]''',
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* This function currently appears in the AddIn category of the Function Wizard.
'''[[Documentation/How_Tos/Calc: BESSELK function|BESSELK]]''',
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'''[[Documentation/How_Tos/Calc: BESSELY function|BESSELY]]'''
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'''[[Documentation/How_Tos/Calc: Mathematical functions|Mathematical functions]]'''
 
  
[[Documentation/How_Tos/Calc: Functions listed alphabetically|'''Functions listed alphabetically''']],
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{{SeeAlso|EN|
[[Documentation/How_Tos/Calc: Functions listed by category|'''Functions listed by category''']]
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* [[Documentation/How_Tos/Calc: BESSELJ function|BESSELJ]]
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* [[Documentation/How_Tos/Calc: BESSELK function|BESSELK]]
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* [[Documentation/How_Tos/Calc: BESSELY function|BESSELY]]
  
=== Issues: ===
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* [[Documentation/How_Tos/Calc: Mathematical functions|Mathematical functions]]
* This function currently appears in the AddIn category of the Function Wizard.
+
 
 +
* [[Documentation/How_Tos/Calc: Functions listed alphabetically|Functions listed alphabetically]]
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* [[Documentation/How_Tos/Calc: Functions listed by category|Functions listed by category]]}}
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[[Category: Documentation/Reference/Calc/Mathematical functions]]

Latest revision as of 15:03, 31 January 2024

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
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