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Calling Sequence
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GAMMA( b )
lnGAMMA( b )
rGAMMA( b )
Zeta( b )
Psi( b )
dilog( b )
erf( b )
erfc( b )
erfi( b )
BesselI( a, b )
BesselJ( a, b )
BesselK( a, b )
BesselY( a, b )
Ei( b )
Si( b )
Ci( b )
Shi( b )
Chi( b )
AiryAi( b )
AiryAi( 1, b )
AiryBi( b )
AiryBi( 1, b )
LambertW( b )
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Parameters
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a
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-
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RealBox object
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b
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-
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RealBox object
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precopt
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-
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(optional) equation of the form precision = n, where n is a positive integer
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Description
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Many special functions are defined for RealBox objects. The following table briefly describes those that are currently implemented.
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GAMMA( b )
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GAMMA function
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lnGAMMA( b )
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lnGAMMA function
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rGAMMA( b )
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reciprocal GAMMA function
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Zeta( b )
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Riemann Zeta function
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HurwitzZeta( a, b )
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Hurwitz Zeta function
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Psi( b )
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digamma function
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dilog( b )
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dilogarithm
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erf( b )
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error function
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erfc( b )
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error function
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erfi( b )
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error function
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BesselI( a, b )
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Bessel I function
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BesselJ( a, b )
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Bessel J function
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BesselK( a, b )
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Bessel K function
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BesselY( a, b )
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Bessel Y function
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Li( b )
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logarithmic integral
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Ei( b )
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exponential integral
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Si( b )
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sine integral
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Ci( b )
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cosine integral
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Shi( b )
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hyperbolic sine integral
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Chi( b )
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hyperbolic cosine integral
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AiryAi( b )
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Airy Ai function
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AiryAi( 1, b )
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first derivative of Ai
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AiryBi( b )
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Airy Bi function
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AiryBi( 1, b )
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first derivative of Bi
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LambertW( b )
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Lambert function
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polylog( a, b )
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general polylogarithm function
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Use the 'precision' = n option to control the precision used in these methods. For more details on precision, see BoxPrecision.
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Examples
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This should be (approximately) .
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| (29) |
| (30) |
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Compatibility
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The RealBox[Special], RealBox:-GAMMA, RealBox:-lnGAMMA, RealBox:-rGAMMA, RealBox:-Zeta, RealBox:-Psi, RealBox:-dilog, RealBox:-erf, RealBox:-erfc, RealBox:-erfi, RealBox:-BesselI, RealBox:-BesselJ, RealBox:-BesselK, RealBox:-BesselY, RealBox:-Ei, RealBox:-Si, RealBox:-Ci, RealBox:-Shi, RealBox:-Chi, RealBox:-AiryAi, RealBox:-AiryBi and RealBox:-LambertW commands were introduced in Maple 2022.
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