Difference between revisions of "Documentation/How Tos/Calc: BESSELK function"

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{{Documentation/MasterTOC
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{{DISPLAYTITLE:BESSELK function}}
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{{Documentation/CalcFunc MathematicalTOC
|booktitle=<div style="padding: 8px; font-size: 140%; font-weight: bold; background-color: #9BC0F5;">CALC FUNCTIONS</div>
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|ShowPrevNext=block
|ShowParttitle=block|parttitle=[[Documentation/How_Tos/Calc:_Mathematical_functions|<div style="font-size: 140%;">Mathematical Functions]]
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|PrevPage=Documentation/How_Tos/Calc:_BESSELJ_function
|ShowNextPage=block|NextPage=Documentation/How_Tos/Calc:_BESSELY_function
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|NextPage=Documentation/How_Tos/Calc:_BESSELY_function
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|ShowPrevPart=block|PrevPart=Documentation/How_Tos/Calc:_Logical_functions
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|toccontent= <div style="padding: 4px; font-size: 130%; font-weight: hidden; background-color:#DCE9FC;">FUNCTIONS</div>
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<div style="font-size: 140%; border-style: outset outset outset none; border-color:#DCE9FC;">Trigonometric</div>
 
* [[Documentation/How_Tos/Calc:_COS_function|<div style="font-size: 120%;">Cos]]
 
* [[Documentation/How_Tos/Calc:_SIN_function|<div style="font-size: 120%;">Sin]]
 
* [[Documentation/How_Tos/Calc:_TAN_function|<div style="font-size: 120%;">Tan]]
 
* [[Documentation/How_Tos/Calc:_COT_function|<div style="font-size: 120%;">Cot]]
 
* [[Documentation/How_Tos/Calc:_ACOS_function|<div style="font-size: 120%;">Acos]]
 
* [[Documentation/How_Tos/Calc:_ACOT_function|<div style="font-size: 120%;">Acot]]
 
* [[Documentation/How_Tos/Calc:_ASIN_function|<div style="font-size: 120%;">Asin]]
 
* [[Documentation/How_Tos/Calc:_ATAN_function|<div style="font-size: 120%;">Atan]]
 
* [[Documentation/How_Tos/Calc:_ATAN2_function|<div style="font-size: 120%;">Atan2]]
 
* [[Documentation/How_Tos/Calc:_DEGREES_function|<div style="font-size: 120%;">Degrees]]
 
* [[Documentation/How_Tos/Calc:_RADIANS_function|<div style="font-size: 120%;">Radians]]
 
* [[Documentation/How_Tos/Calc:_PI_function|<div style="font-size: 120%;">Pi]]
 
 
<div style="font-size: 140%; border-style: outset outset outset none; border-color:#DCE9FC;">Hyperbolic</div>
 
* [[Documentation/How_Tos/Calc:_COSH_function|<div style="font-size: 120%;">Cosh]]
 
* [[Documentation/How_Tos/Calc:_SINH_function|<div style="font-size: 120%;">Sinh]]
 
* [[Documentation/How_Tos/Calc:_TANH_function|<div style="font-size: 120%;">Tanh]]
 
* [[Documentation/How_Tos/Calc:_COTH_function|<div style="font-size: 120%;">Coth]]
 
* [[Documentation/How_Tos/Calc:_ACOSH_function|<div style="font-size: 120%;">Acosh]]
 
* [[Documentation/How_Tos/Calc:_ACOTH_function|<div style="font-size: 120%;">Acoth]]
 
* [[Documentation/How_Tos/Calc:_ASINH_function|<div style="font-size: 120%;">Asinh]]
 
* [[Documentation/How_Tos/Calc:_ATANH_function|<div style="font-size: 120%;">Atanh]]
 
 
<div style="font-size: 140%; border-style: outset outset outset none; border-color:#DCE9FC;">Rounding and remainders</div>
 
* [[Documentation/How_Tos/Calc:_TRUNC_function|<div style="font-size: 120%;">Trunc]]
 
* [[Documentation/How_Tos/Calc:_ROUND_function|<div style="font-size: 120%;">Round]]
 
* [[Documentation/How_Tos/Calc:_ROUNDDOWN_function|<div style="font-size: 120%;">Rounddown]]
 
* [[Documentation/How_Tos/Calc:_ROUNDUP_function|<div style="font-size: 120%;">Roundup]]
 
* [[Documentation/How_Tos/Calc:_CEILING_function|<div style="font-size: 120%;">Ceiling]]
 
* [[Documentation/How_Tos/Calc:_FLOOR_function|<div style="font-size: 120%;">Floor]]
 
* [[Documentation/How_Tos/Calc:_EVEN_function|<div style="font-size: 120%;">Even]]
 
* [[Documentation/How_Tos/Calc:_ODD_function|<div style="font-size: 120%;">Odd]]
 
* [[Documentation/How_Tos/Calc:_MROUND_function|<div style="font-size: 120%;">Mround]]
 
* [[Documentation/How_Tos/Calc:_INT_function|<div style="font-size: 120%;">Int]]
 
* [[Documentation/How_Tos/Calc:_QUOTIENT_function|<div style="font-size: 120%;">Quotient]]
 
* [[Documentation/How_Tos/Calc:_MOD_function|<div style="font-size: 120%;">Mod]]
 
 
<div style="font-size: 140%; border-style: outset outset outset none; border-color:#DCE9FC;">Logarithm/Powers</div>
 
* [[Documentation/How_Tos/Calc:_EXP_function|<div style="font-size: 120%;">Exp]]
 
* [[Documentation/How_Tos/Calc:_POWER_function|<div style="font-size: 120%;">Power]]
 
* [[Documentation/How_Tos/Calc:_LOG_function|<div style="font-size: 120%;">Log]]
 
* [[Documentation/How_Tos/Calc:_LN_function|<div style="font-size: 120%;">Ln]]
 
* [[Documentation/How_Tos/Calc:_LOG10_function|<div style="font-size: 120%;">Log10]]
 
 
<div style="font-size: 140%; border-style: outset outset outset none; border-color:#DCE9FC;">Bessel functions</div>
 
* [[Documentation/How_Tos/Calc:_BESSELI_function|<div style="font-size: 120%;">Besseli]]
 
* [[Documentation/How_Tos/Calc:_BESSELJ_function|<div style="font-size: 120%;">Besselj]]
 
* [[Documentation/How_Tos/Calc:_BESSELK_function|<div style="font-size: 120%; border-style: double; border-color:#778899;">Besselk]]
 
* [[Documentation/How_Tos/Calc:_BESSELY_function|<div style="font-size: 120%;">Bessely]]
 
 
<div style="font-size: 140%; border-style: outset outset outset none; border-color:#DCE9FC;">Miscellaneous</div>
 
* [[Documentation/How_Tos/Calc:_ABS_function|<div style="font-size: 120%;">Abs]]
 
* [[Documentation/How_Tos/Calc:_COMBIN_function|<div style="font-size: 120%;">Combin]]
 
* [[Documentation/How_Tos/Calc:_COMBINA_function|<div style="font-size: 120%;">Combina]]
 
* [[Documentation/How_Tos/Calc:_CONVERT_function|<div style="font-size: 120%;">Convert]]
 
* [[Documentation/How_Tos/Calc:_CONVERT_ADD_function|<div style="font-size: 120%;">Convert Add]]
 
* [[Documentation/How_Tos/Calc:_COUNTBLANK_function|<div style="font-size: 120%;">Countblank]]
 
* [[Documentation/How_Tos/Calc:_COUNTIF_function|<div style="font-size: 120%;">Countif]]
 
* [[Documentation/How_Tos/Calc:_DELTA_function|<div style="font-size: 120%;">Delta]]
 
* [[Documentation/How_Tos/Calc:_ERF_function|<div style="font-size: 120%;">Erf]]
 
* [[Documentation/How_Tos/Calc:_ERFC_function|<div style="font-size: 120%;">Erfc]]
 
* [[Documentation/How_Tos/Calc:_FACT_function|<div style="font-size: 120%;">Fact]]
 
* [[Documentation/How_Tos/Calc:_FACTDOUBLE_function|<div style="font-size: 120%;">Factdouble]]
 
* [[Documentation/How_Tos/Calc:_GCD_function|<div style="font-size: 120%;">Gcd]]
 
* [[Documentation/How_Tos/Calc:_GCD_ADD_function|<div style="font-size: 120%;">Gcd Add]]
 
* [[Documentation/How_Tos/Calc:_GESTEP_function|<div style="font-size: 120%;">Gestep]]
 
* [[Documentation/How_Tos/Calc:_ISEVEN_function|<div style="font-size: 120%;">Iseven]]
 
* [[Documentation/How_Tos/Calc:_ISODD_function|<div style="font-size: 120%;">Isodd]]
 
* [[Documentation/How_Tos/Calc:_LCM_function|<div style="font-size: 120%;">Lcm]]
 
* [[Documentation/How_Tos/Calc:_LCM_ADD_function|<div style="font-size: 120%;">Lcm Add]]
 
* [[Documentation/How_Tos/Calc:_MULTINOMIAL_function|<div style="font-size: 120%;">Multinomial]]
 
* [[Documentation/How_Tos/Calc:_PRODUCT_function|<div style="font-size: 120%;">Product]]
 
* [[Documentation/How_Tos/Calc:_RAND_function|<div style="font-size: 120%;">Rand]]
 
* [[Documentation/How_Tos/Calc:_RANDBETWEEN_function|<div style="font-size: 120%;">Randbetween]]
 
* [[Documentation/How_Tos/Calc:_SERIESSUM_function|<div style="font-size: 120%;">Seriessum]]
 
* [[Documentation/How_Tos/Calc:_SIGN_function|<div style="font-size: 120%;">Sign]]
 
* [[Documentation/How_Tos/Calc:_SQRT_function|<div style="font-size: 120%;">Sqrt]]
 
* [[Documentation/How_Tos/Calc:_SQRTPI_function|<div style="font-size: 120%;">Sqrtpi]]
 
* [[Documentation/How_Tos/Calc:_SUBTOTAL_function|<div style="font-size: 120%;">Subtotal]]
 
* [[Documentation/How_Tos/Calc:_SUM_function|<div style="font-size: 120%;">Sum]]
 
* [[Documentation/How_Tos/Calc:_SUMIF_function|<div style="font-size: 120%;">Sumif]]
 
* [[Documentation/How_Tos/Calc:_SUMSQ_function|<div style="font-size: 120%;">Sumsq]]
 
}}__TOC__
 
 
== BESSELK ==
 
== BESSELK ==
 
Calculates the modified Bessel function of the second kind.
 
Calculates the modified Bessel function of the second kind.
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=== Syntax: ===
 
=== Syntax: ===
 
<tt>'''BESSELK(x; n)'''</tt>
 
<tt>'''BESSELK(x; n)'''</tt>
: returns the modifed Bessel function of the second kind, of order <tt>'''n'''</tt>, evaluated at <tt>'''x'''</tt>.
+
: returns the modified Bessel function of the second kind, of order <tt>'''n'''</tt>, evaluated at <tt>'''x'''</tt>.
  
 
: The modified Bessel functions of the second kind (also known as Basset functions) are often denoted <tt><i>K<sub>n</sub></i>(<i>x</i>)</tt>.
 
: The modified Bessel functions of the second kind (also known as Basset functions) are often denoted <tt><i>K<sub>n</sub></i>(<i>x</i>)</tt>.

Latest revision as of 15:04, 31 January 2024

BESSELK

Calculates the modified Bessel function of the second kind.

Syntax:

BESSELK(x; n)

returns the modified Bessel function of the second kind, of order n, evaluated at x.
The modified Bessel functions of the second kind (also known as Basset functions) are often denoted Kn(x).

Example:

BESSELK(2; 1)

returns 0.13986588.

Issues:

  • This function currently appears in the AddIn category of the Function Wizard.




See Also
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