### Introductions to BesselI n - functions.wolfram.com

This equation with concrete values of the parameter n appeared in the articles by F. W. Bessel (1816, 1824) who built two partial solutions w1HzL and w2HzL of the previous equation in the form of series: wHzL−znâ j=0 ¥ aj zj+z-nâ j=0 ¥ bj zj−znâ k=0 ¥ a2 k z 2 k+â k=0 ¥ a2 k+1 z 2 k+1+z-nâ k=0 ¥ b2 k z 2 k+â k=0 ¥ b2 k+1 z 2 k+1.

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