Formula:853

Digital Library of Mathematical Functions ID 2.6.E57

${\displaystyle{\displaystyle f(t)h(xt)=\sum_{j=0}^{n-1}\sum_{k=0}^{n-1}a_{j}b_{k}t^{j+\alpha-1-k-\beta}x^{-k-\beta}+\sum_{j=0}^{n-1}a_{j}t^{j+\alpha-1}h_{n}(xt)+\sum_{k=0}^{n-1}b_{k}x^{-k-\beta}t^{-k-\beta}f_{n}(t)+f_{n}(t)h_{n}(xt).}}$

Symbols List

• ${\displaystyle{\displaystyle f(t)}}$: locally integrable function
• ${\displaystyle{\displaystyle n}}$: positive integer
• ${\displaystyle{\displaystyle a_{n}}}$: coefficients
• ${\displaystyle{\displaystyle b_{n}}}$: coefficients
• ${\displaystyle{\displaystyle h(x)}}$: function
• ${\displaystyle{\displaystyle f_{n,n}(t)}}$: n th repeated integral
 

Resources that cite this formula

No records found.