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Bessel functions of the first kind, denoted as Ja(x), are solutions of Bessel's differential equation that are finite at the origin (x = 0) for integer a, and diverge as x approaches zero for negative non-integer a. The solution type (e.g.,integer or non-integer) and normalization of Ja(x) are defined by its properties below. It is possible to define the function by its Taylor series expansion around x = 0. |
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