Modified Bessel function of the first kind
= Modified Bessel function of the first kind
{c}
{title2=$I_\nu(z)$}
The solution of the <Modified Bessel differential equation> with <power series> $I_\nu(z)=\sum_{j\geq0}(z/2)^{2j+\nu}/[j!\Gamma(j+\nu+1)]$, interpreted through the reciprocal <gamma function> at its zeros. For fixed real order it grows exponentially along the positive real axis.