Struve Function Table

Online calculator for calculating the Struve function; results are shown in a curve and a table

Calculate the Struve function


On this page the Struve function Hv(x) is calculated as it is described in the formula below. The results are shown in a curve and a table. Select the order number and enter the range and the increment for x. Then click the button 'Calculate'.



Struve Function Hv(x)

 Input
Order No v
Start Value
Increment
Stop Value
Decimal places

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

Struve Functions Table


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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