Formula:8997

Digital Library of Mathematical Functions ID 28.12.E7

${\displaystyle{\displaystyle{\int_{0}^{\pi}\mathrm{me}_{\nu+2m}\left(x,q\right)\mathrm{me}_{\nu+2n}\left(-x,q\right)\mathrm{d}x=0,}}}$

Constraint(s)

${\displaystyle{\displaystyle m\neq n}}$

Symbols List

• ${\displaystyle{\displaystyle\mathrm{me}_{\NVar{n}}\left(\NVar{z},\NVar{q}\right)}}$:
• ${\displaystyle{\displaystyle\pi}}$: the ratio of the circumference of a circle to its diameter
• ${\displaystyle{\displaystyle\mathrm{d}\NVar{x}}}$: differential of x
• ${\displaystyle{\displaystyle\int}}$: integral
• ${\displaystyle{\displaystyle m}}$: integer
• ${\displaystyle{\displaystyle q=h^{2}}}$: parameter
• ${\displaystyle{\displaystyle n}}$: integer
• ${\displaystyle{\displaystyle x}}$: real variable
• ${\displaystyle{\displaystyle\nu}}$: complex parameter
 

Resources that cite this formula

No records found.