Formula:4035

Digital Library of Mathematical Functions ID 10.21.E38

Failed to parse (Conversion error. Server ("https://wikimedia.org/api/rest_") reported: "TeX input is invalid."): {\displaystyle \BesselJ{\nu}@{\zBesselj{\nu}{m}'}\asympexp(-1)^{m-1}\frac{(2/\nu)^{\frac{1}{3}}}{\pi\AirymodderivN@{\zderivAirya{m}}}\sum_{k=0}^{\infty}\frac{\beta^{\prime}_{k}}{\nu^{2k/3}},}

Symbols List

• ${\displaystyle{\displaystyle J_{\NVar{\nu}}\left(\NVar{z}\right)}}$: Bessel function of the first kind
• ${\displaystyle{\displaystyle\sim}}$:
• ${\displaystyle{\displaystyle\pi}}$: the ratio of the circumference of a circle to its diameter
• ${\displaystyle{\displaystyle N\left(\NVar{z}\right)}}$: Airy modulus function
• ${\displaystyle{\displaystyle j_{\NVar{\nu},\NVar{m}}}}$:
• ${\displaystyle{\displaystyle a^{\prime}_{\NVar{k}}}}$:
• ${\displaystyle{\displaystyle m}}$: integer
• ${\displaystyle{\displaystyle k}}$: nonnegative integer
• ${\displaystyle{\displaystyle\nu}}$: complex parameter
• ${\displaystyle{\displaystyle\beta}}$: coefficients
 

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