HP 40gs hp 40gs_user's guide_English_E_HDPMSG40E07A.pdf - Page 246
Gamma, Iabcuv
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hp40g+.book Page 64 Friday, December 9, 2005 1:03 AM GAMMA IABCUV 14-64 Example 1 Typing: EXP2HYP(EXP(A)) gives: sinh(a) + cosh(a) Example 2 Typing: EXP2HYP(EXP(-A) + EXP(A)) gives: 2 · cosh(a) Returns the values of the Γ function at a given point. The Γ function is defined as: ∫ Γ(x) = +∞ e-ttx - 1dt 0 We have: Γ (1) = 1 Γ (x + 1) = x · Γ (x) Example 1 Typing: GAMMA(5) gives: 24 Example 2 Typing: GAMMA(1/2) gives: π IABCUV(A,B,C) returns U AND V such that AU + BV = C where A, B and C are whole numbers. C must be a multiple of GCD(A,B) to obtain a solution. Computer Algebra System (CAS)
14-64
Computer Algebra System (CAS)
Example 1
Typing:
EXP2HYP(EXP(A))
gives:
sinh(a) + cosh(a)
Example 2
Typing:
EXP2HYP(EXP(–A) + EXP(A))
gives:
2 · cosh(a)
GAMMA
Returns the values of the
Γ
function at a given point.
The
Γ
function is defined as:
We have:
Γ
(1) = 1
Γ
(
x
+ 1) =
x
·
Γ
(
x
)
Example 1
Typing:
GAMMA(5)
gives:
24
Example 2
Typing:
GAMMA(1/2)
gives:
IABCUV
IABCUV(A,B,C) returns U AND V such that AU + BV = C
where A, B and C are whole numbers.
C must be a multiple of GCD(A,B) to obtain a solution.
Γ
x
()
e
t
–
t
x
1
–
t
d
0
+
∞
∫
=
π
hp40g+.book
Page 64
Friday, December 9, 2005
1:03 AM