Formula:9729

Digital Library of Mathematical Functions ID 31.8.E2

Failed to parse (Conversion error. Server ("https://wikimedia.org/api/rest_") reported: "TeX input is invalid."): {\displaystyle w_{\pm}(\mathbf{m};\lambda;z)=\sqrt{\Psi_{g,N}(\lambda,z)}\*\exp@{\pm\frac{i\nu(\lambda)}{2}\int_{z_{0}}^{z}\frac{t^{m_{1}}(t-1)^{m_{2}}(t-a)^{m_{3}}\diff{t}}{\Psi_{g,N}(\lambda,t)\sqrt{t(t-1)(t-a)}}}}

Symbols List

• Failed to parse (Conversion error. Server ("https://wikimedia.org/api/rest_") reported: "TeX input is invalid."): {\displaystyle \diff{\NVar{x}}} : differential of x
• ${\displaystyle{\displaystyle\exp\NVar{z}}}$: exponential function
• ${\displaystyle{\displaystyle\mathrm{i}}}$: imaginary unit
• ${\displaystyle{\displaystyle\int}}$: integral
• ${\displaystyle{\displaystyle z}}$: complex variable
• ${\displaystyle{\displaystyle\nu}}$: real or complex parameter
• ${\displaystyle{\displaystyle m}}$: nonnegative integer
• ${\displaystyle{\displaystyle a}}$: complex parameter
• ${\displaystyle{\displaystyle\lambda=-4q}}$: = λ - ⁢ 4 q
• ${\displaystyle{\displaystyle\Psi_{g,N}(\lambda,z)}}$: polynomial
• ${\displaystyle{\displaystyle g}}$: degree of λ
• ${\displaystyle{\displaystyle N}}$: degree of z
 

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