Formula:836

Digital Library of Mathematical Functions ID 2.6.E40

Failed to parse (Conversion error. Server ("https://wikimedia.org/api/rest_") reported: "TeX input is invalid."): {\displaystyle t^{\mu-1}\ast t^{-s-1}=\frac{(-1)^{s}}{\mu\cdot s!}D^{s+1}\left(t^{\mu}\left(\ln@@{t}-\EulerConstant-\digamma@{\mu+1}\right)\right),}

Constraint(s)

${\displaystyle{\displaystyle t>0}}$

Symbols List

• Failed to parse (Conversion error. Server ("https://wikimedia.org/api/rest_") reported: "TeX input is invalid."): {\displaystyle \EulerConstant} : Euler’s constant
• ${\displaystyle{\displaystyle\psi\left(\NVar{z}\right)}}$: psi (or digamma) function
• ${\displaystyle{\displaystyle!}}$:
• Failed to parse (Conversion error. Server ("https://wikimedia.org/api/rest_") reported: "TeX input is invalid."): {\displaystyle \ln@@{\NVar{z}}} : principal branch of logarithm function
• ${\displaystyle{\displaystyle\mu}}$: order
• ${\displaystyle{\displaystyle\ast}}$: convolution (locally)
• ${\displaystyle{\displaystyle D}}$:
 

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