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Harmonic Functions… ►
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Mean Value Property►For harmonic, … ►
In regard to the definition of the spherical harmonics , the domain of the integer originally written as has been replaced with the more general . Because of this change, in the sentence just below (14.30.2), “tesseral for and sectorial for ” has been replaced with “tesseral for and sectorial for ”. Furthermore, in (14.30.4), has been replaced with .
Reported by Ching-Li Chai on 2019-10-05
In regard to (25.14.1), the previous constraint was removed. A clarification regarding the correct constraints for Lerch’s transcendent has been added in the text immediately below. In particular, it is now stated that if is not an integer then ; if is a positive integer then ; if is a non-positive integer then can be any complex number.
Originally the Stirling number was given incorrectly as 6327. The correct number is 63273.
Reported 2013-11-25 by Svante Janson.
Originally this equation appeared with in the summation, instead of .
Reported 2010-11-07 by Layne Watson.