Struve Function

Online calculator for calculating the Struve function

Calculate the Struve function


On this page the Struve function Hv(x) is calculated as it is described in the formula below. Select the order number an enter the argument x. Then click the button 'Calculate'.


Struve function Hv(x)

 Input
Order v x  
Decimal places
 Result

If you move the mouse over the graphic, the values for the corresponding argument are displayed


Struve function Hv(x)


\(\displaystyle x^2y'' + xy' +(x^2-v^2)y= \frac{4(\frac{x}{2})^{v+1}}{\sqrt{π}Γ(v+\frac{1}{2})} \)

\(\displaystyle v=H_v(x)\)

\(\displaystyle H_v(x)=\left(\frac{x}{2}\right)^{v+1}\sum_{k=0}^{∞} \frac{(-1)^k(\frac{x}{2})^{2k}} {Γ(k+\frac{3}{2})Γ(k+v+\frac{3}{2})}\)


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