HP 40gs User Manual page 246

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:
+ ∞
t – x 1 –
∫
Γ x ( )
= e t t d
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)