Recurse, Matrix functions, Polynomial functions – HP 39g+ User Manual

Page 154: Polycoef, Σ” on

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11-10

Using mathematical functions

RECURSE

Provides a method of defining a sequence without using
the Symbolic view of the Sequence aplet. If used with |
(“where”), RECURSE will step through the evaluation.

RECURSE(

sequencename, term

n

, term

1

, term

2

)

Example

RECURSE(U,U(N-1)*N,1,2)

U1(N)

Stores a factorial-calculating function named U1.

When you enter U1(5), for example, the function
calculates 5! (120).

Σ

Summation. Finds the sum of expression with respect to
variable from initialvalue to finalvalue.

Σ(variable=initialvalue, finalvalue, expression)

Example

Σ(C=1,5,C

2

)

returns 55.

Matrix functions

These functions are for matrix data stored in matrix
variables. See “Matrix functions and commands” on
page 13-9.

Polynomial functions

Polynomials are products of constants (coefficients) and
variables raised to powers (terms).

POLYCOEF

Polynomial coefficients. Returns the coefficients of the
polynomial with the specified roots.

POLYCOEF

([roots])

Example

To find the polynomial with roots 2, –3, 4, –5:
POLYCOEF([2,-3,4,-5])

returns[1,2,-25,

-26,120]

, representing x

4

+2x

3

–25x

2

–26x+120.

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