Talk:Bessel polynomials

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Mathematics rating:
Start Class
Mid Importance
 Field: Analysis

Consistent notation[edit]

The definition favored by mathematicians ... y_n(x)=... Another definition, ... the reverse Bessel polynomials ... \theta_n(x)=...

Then later:

The Bessel polynomial may also be defined using Bessel functions ... where ... yn(x) is the reverse polynomial

Please use the same notation for ordinary vs reverse throughout.

Bessel Polynomials by E. Grosswald does use y for reverse.

http://www.ams.org/journals/tran/1949-065-01/S0002-9947-1949-0028473-1/S0002-9947-1949-0028473-1.pdf uses y for reverse

http://www.math.ku.dk/~berg/manus/bessel.pdf says "The polynomials θ n are sometimes called the reverse Bessel polynomials and y n (u) = u n θ n (1/u) the ordinary Bessel polynomials."

So we need to pick one and stick to it.