Fourier, Froots, R(arith) – HP 49g Graphing Calculator User Manual

Page 146

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Flags:

Exact mode must be set (flag -105 clear).
Numeric mode must not be set (flag -03 clear).

Example:

Find the rational polynomial corresponding to the
following set of roots and poles:

1 , 2 , 3 , - 1

Command:

FCOEF{ [ 1 , 2 , 3 , - 1 ]

)

Result:

( X - 1 ) ^ 2 / ( X - 3 )

See also:

FROOTS

FOURIER

Type:

Fimction

Description:

Returns the coefficient of a complex Fourier series

expansion. The

PERIOD

variable must be in the current

path, and set to hold L, the period of the input fimction.

Access:

Calculus 0(CALQ)

deriv

. &

integ

Input:

Level 1/Argument 2: An expression

Level 2/Argument 1: The number, n, of the coefficient to

return.

Output:

The uth Fourier coefficient of the expression.

Flags:

Exact mode must be set (flag -105 clear).
Numeric mode must not be set (flag -03 clear).
Complex mode must be set, that is, flag -103 must be

set.

FROOTS

Type:

Command

Description:

For a rational polynomial, returns an array of its roots
and poles, with their corresponding multiplicities.

Access:

Aiithmetic,

R(ARiTH)

POLYNOMIAI,

Input:

A rational polynomial.

Output:

An array of the form [Root 1, Multiplicity 1, Root 2,
Multiplicity 2 . . . ]

A negative multiplicity indicates a pole.

Flags:

Exact mode must be set (flag -105 clear). Numeric mode
must not be set (flag -03 clear).

Computer Algebra Commands

Page 14-23

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