Formula:9017

Digital Library of Mathematical Functions ID 28.14.E10

${\displaystyle{\displaystyle c_{2m}^{\nu}(q)=\left(\frac{(-1)^{m}q^{m}\Gamma\left(\nu+1\right)}{m!\,2^{2m}\Gamma\left(\nu+m+1\right)}+O\left(q^{m+2}\right)\right)c_{0}^{\nu}(q).}}$

Symbols List

• ${\displaystyle{\displaystyle O\left(\NVar{x}\right)}}$: order not exceeding
• ${\displaystyle{\displaystyle\Gamma\left(\NVar{z}\right)}}$: gamma function
• ${\displaystyle{\displaystyle!}}$:
• ${\displaystyle{\displaystyle m}}$: integer
• ${\displaystyle{\displaystyle q=h^{2}}}$: parameter
• ${\displaystyle{\displaystyle\nu}}$: complex parameter
• ${\displaystyle{\displaystyle c_{2m}(q)}}$: coefficients
 

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