Formula:8977

Digital Library of Mathematical Functions ID 28.10.E5

Failed to parse (Conversion error. Server ("https://wikimedia.org/api/rest_") reported: "TeX input is invalid."): {\displaystyle \frac{2}{\pi}\int_{0}^{\ifrac{\pi}{2}}\sinh@{2h\sin@@{z}\sin@@{t}}\Mathieuse{2n+1}@{t}{h^{2}}\diff{t}=\frac{hB_{1}^{2n+1}(h^{2})}{\Mathieuse{2n+1}'@{0}{h^{2}}}\Mathieuse{2n+1}@{z}{h^{2}},}

Symbols List

• ${\displaystyle{\displaystyle\mathrm{se}_{\NVar{n}}\left(\NVar{z},\NVar{q}\right)}}$:
• ${\displaystyle{\displaystyle\pi}}$: the ratio of the circumference of a circle to its diameter
• ${\displaystyle{\displaystyle\mathrm{d}\NVar{x}}}$: differential of x
• ${\displaystyle{\displaystyle\sinh\NVar{z}}}$: hyperbolic sine function
• ${\displaystyle{\displaystyle\int}}$: integral
• ${\displaystyle{\displaystyle\sin\NVar{z}}}$: sine function
• ${\displaystyle{\displaystyle h}}$: parameter
• ${\displaystyle{\displaystyle n}}$: integer
• ${\displaystyle{\displaystyle z}}$: complex variable
• ${\displaystyle{\displaystyle B_{m}(q)}}$: Fourier coefficient
 

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