HP 40gs User Manual

Page 246

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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

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