Incomplete Gamma

download Incomplete Gamma

of 3

Transcript of Incomplete Gamma

  • 7/26/2019 Incomplete Gamma

    1/3

    This spreadsheet contains a user defned unction called Gammaax

    Abramowitz and Stegun 6.5.2 gies the defnition

    !ou can use it as a usual "xcel unction

    #t has two parameters$ Gammaax%a&x'

    The second parameter can be missing

    "xamples$

    ()Gammaax%*&+'( ,-A/"0

    ()Gammaax%*'( ,-A/"0

    1emar$ 3oth the aboe orms gie the usual Gamma unction& in this case the

    4urther examples$

    a

    *.6

    +.2

    +.

    #n recoer potential analsis we need the frst parameter to be (78n( and the sen) +.* and dimensionless rate ;< ) +.>

    (Gammaax%78+.*&9 ln%+.>' '( ,-A/"0

    (Gammaax%78+.* '( ,-A/"0

    (The ratio o the two is the recoer potential rp $( ,-A/"0

    [a , x ]=x

    ta1

    e

  • 7/26/2019 Incomplete Gamma

    2/3

    lue is 2 actorial ) 2

    x Gamma%a&x'

    >.6 ,-A/"0

    * ,-A/"0

    +.2 ,-A/"0

    ond parameter to be (9ln:;

  • 7/26/2019 Incomplete Gamma

    3/3

    e