Formula:812

Digital Library of Mathematical Functions ID 2.6.E17

Failed to parse (Conversion error. Server ("https://wikimedia.org/api/rest_") reported: "TeX input is invalid."): {\displaystyle {\intinnerprod{f}{\phi}}=\sum_{s=0}^{n-1}a_{s}\intinnerprod{t^{-s-\alpha}}{\phi}-\sum_{s=1}^{n}c_{s}\intinnerprod{\Diracdelta^{(s-1)}}{\phi}+\intinnerprod{f_{n}}{\phi}}

Symbols List

• ${\displaystyle{\displaystyle\delta\left(\NVar{x-a}\right)}}$:
• ${\displaystyle{\displaystyle\left\langle\NVar{\Lambda},\NVar{\phi}\right\rangle}}$:
• ${\displaystyle{\displaystyle c\neq 0}}$: real
• ${\displaystyle{\displaystyle f(t)}}$: locally integrable function
• ${\displaystyle{\displaystyle a_{n}}}$: coefficients
• ${\displaystyle{\displaystyle n}}$: nonnegative integer
• ${\displaystyle{\displaystyle f_{n,n}(t)}}$: n th repeated integral
 

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