Functions Index :: P :: PowSeriesAA

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Module:

array :: powseries

Definition:

PowSeriesAA(val x, string coefs_array, string powers_array)

Description:

Returns a power series of x with coefficients and powers supplied by (two) respective arrays.

It is provided as a simpler alternative for series with small number of terms to the more generic PowSeries function.

Arguments:

x: The value of which the power series will be calculated.

coefs_array: The array holding the power series coefficients.

powers_array: The array holding the powers of the series.

Notes and conditions on arguments relations:

1] coefs_array and powers_array must have the same number of elements.

Examples:

# Calculate the power series 0.5*x + 3.23*x3 - 2.5*x5 for x = 5.4

coefs = "0.5, 3.23, -2.5"

powers = "1, 3, 5"

f1 = PowSeriesAA(5.4, coefs, powers)

# Calculate the power series 1.3*x-0.52 + 0.22*x2.34 - 2.3*x12.91

# for x = 3.3

coefs2 = "1.3, 0.22, -2.3"

powers2 = "-0.52, 2.34, 12.91"

f2 = PowSeriesAA(3.3, coefs2, powers2)

 

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