Difference between revisions of "Relationship between Bessel Y sub n and Bessel Y sub -n"
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==References== | ==References== | ||
* {{BookReference|Handbook of mathematical functions|1964|Milton Abramowitz|author2=Irene A. Stegun|prev=Relationship between Bessel J sub n and Bessel J sub -n|next=findme}}: 9.1.5 | * {{BookReference|Handbook of mathematical functions|1964|Milton Abramowitz|author2=Irene A. Stegun|prev=Relationship between Bessel J sub n and Bessel J sub -n|next=findme}}: 9.1.5 | ||
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+ | [[Category:Unproven]] |
Latest revision as of 04:54, 11 June 2016
Theorem
The following formula holds for $n \in \mathbb{Z}$: $$Y_{-n}(z)=(-1)^n Y_n(z),$$ where $Y_{-n}$ denotes the Bessel function of the second kind.
Proof
References
- 1964: Milton Abramowitz and Irene A. Stegun: Handbook of mathematical functions ... (previous) ... (next): 9.1.5