Formula:759

Digital Library of Mathematical Functions ID 2.5.E13

${\displaystyle{\displaystyle b_{n}=-a_{n}\left(\ln 2+\tfrac{1}{2}\psi\left(\nu+\tfrac{1}{2}n\right)+\psi\left(1-\tfrac{1}{2}n\right)+\tfrac{1}{2}\psi\left(1+\nu-\tfrac{1}{2}n\right)-\psi\left(n\right)\right),}}$

Symbols List

• ${\displaystyle{\displaystyle\psi\left(\NVar{z}\right)}}$: psi (or digamma) function
• ${\displaystyle{\displaystyle\ln\NVar{z}}}$: principal branch of logarithm function
• ${\displaystyle{\displaystyle a_{n}}}$: coefficients
• ${\displaystyle{\displaystyle b_{n}}}$: coefficients
 

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