Formula:3900

Digital Library of Mathematical Functions ID 10.18.E9

Failed to parse (Conversion error. Server ("https://wikimedia.org/api/rest_") reported: "TeX input is invalid."): {\displaystyle \HankelmodderivN{\nu}^{2}@{x}=\HankelmodM{\nu}'^{2}@{x}+\HankelmodM{\nu}^{2}@{x}\Hankelphasetheta{\nu}'^{2}@{x}=\HankelmodM{\nu}'^{2}@{x}+\frac{4}{(\pi x\HankelmodM{\nu}@{x})^{2}},}

Symbols List

• ${\displaystyle{\displaystyle\pi}}$: the ratio of the circumference of a circle to its diameter
• ${\displaystyle{\displaystyle M_{\NVar{\nu}}\left(\NVar{x}\right)}}$: modulus of Bessel functions
• ${\displaystyle{\displaystyle N_{\NVar{\nu}}\left(\NVar{x}\right)}}$: modulus of derivatives of Bessel functions
• ${\displaystyle{\displaystyle\theta_{\NVar{\nu}}\left(\NVar{x}\right)}}$: phase of Bessel functions
• ${\displaystyle{\displaystyle x}}$: real variable
• ${\displaystyle{\displaystyle\nu}}$: complex parameter
 

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