Notes On Diffraction By a Circular

Cover Notes On Diffraction By a Circular
Notes On Diffraction By a Circular
A Alfred Leitner
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If ^^^ only if, the separation constant takes on values (29) ^= >^(i+ 1) + T7> ka = 0) = P^ (9), the Legendre polynomials. This normalization is obtained by letting the c^ be equal to unity. The functions are orthogonal, and their norms o (31) N^ =J u|(>7) d>?
may be easily computed at the different values of ka, Vhen the two indicial roots, at a regular singular point of a second order differential equation, are repeated and zero, the solution"o^ the second kind" necessarily possesses a logari
...thmic singularity at that point.

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