hp40g+.book Page 64 Friday, December 9, 2005 1:03 AM

 

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:

 

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

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.

14-64

 

 

Computer Algebra System (CAS)