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Engineering function

BESSELI

Returns the modified Bessel function In(x).

Rarely usedDifficulty 1600 · ExpertUsage rank #511 of 520
Practice · 2 questions →

When to use it

The modified Bessel function of the first kind, In(x).

The shape of it

Syntax
=BESSELI(x, n)

Worked examples

  • Order one

    =BESSELI(1.5,1) 0.981666428

    Order 1 at 1.5.

  • At zero

    =BESSELI(0,0) 1

    I0 at zero is 1.

  • Order zero

    =BESSELI(1,0) 1.266065878

    Order 0 at 1.

Worth knowing

  • Grows exponentially with x.
  • Appears in heat conduction and Rician noise models.
  • Order is truncated to an integer.

Where it goes wrong

  • #NUM! for a negative order.
  • #VALUE! for non-numeric input.

Related

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