Difference between revisions of "Relationship between Weber function 1 and Struve function 1"
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− | + | ==Theorem== | |
− | + | The following formula holds: | |
$$\mathbf{E}_1(z)=\dfrac{2}{\pi}-\mathbf{H}_1(z),$$ | $$\mathbf{E}_1(z)=\dfrac{2}{\pi}-\mathbf{H}_1(z),$$ | ||
where $\mathbf{E}_1$ denotes a [[Weber function]] and $\mathbf{H}_1$ denotes a [[Struve function]]. | where $\mathbf{E}_1$ denotes a [[Weber function]] and $\mathbf{H}_1$ denotes a [[Struve function]]. | ||
− | + | ||
− | + | ==Proof== | |
− | + | ||
− | + | ==References== |
Revision as of 04:11, 6 June 2016
Theorem
The following formula holds: $$\mathbf{E}_1(z)=\dfrac{2}{\pi}-\mathbf{H}_1(z),$$ where $\mathbf{E}_1$ denotes a Weber function and $\mathbf{H}_1$ denotes a Struve function.