In the Bessel function (series attached), I've been told that we know an terms are 0 if n is odd.  How from looking at the series do we know that?

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section5.6: Exponential And Logarithmic Equations
Problem 64E
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In the Bessel function (series attached), I've been told that we know an terms are 0 if n is odd.  How from looking at the series do we know that?

(−1)(n-r)/2
J,() = Σ 2n[(n – r)/2]![(n + r)/2]!
n=η
Transcribed Image Text:(−1)(n-r)/2 J,() = Σ 2n[(n – r)/2]![(n + r)/2]! n=η
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