Value of integral of Omnes function












0












$begingroup$


I want to get the value of this integral:
$$int_s^infty left(frac{a}{z(z-b)} right) dz$$
where a and b denote real constant , and b > s



so there is a singularity and I don't know how to get the value of this integral.



Any help will be greatly appreaciated.










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  • $begingroup$
    Welcome to MSE. Have you heard about the partial fraction decomposition?
    $endgroup$
    – user539887
    Jan 13 at 12:17
















0












$begingroup$


I want to get the value of this integral:
$$int_s^infty left(frac{a}{z(z-b)} right) dz$$
where a and b denote real constant , and b > s



so there is a singularity and I don't know how to get the value of this integral.



Any help will be greatly appreaciated.










share|cite|improve this question









$endgroup$












  • $begingroup$
    Welcome to MSE. Have you heard about the partial fraction decomposition?
    $endgroup$
    – user539887
    Jan 13 at 12:17














0












0








0





$begingroup$


I want to get the value of this integral:
$$int_s^infty left(frac{a}{z(z-b)} right) dz$$
where a and b denote real constant , and b > s



so there is a singularity and I don't know how to get the value of this integral.



Any help will be greatly appreaciated.










share|cite|improve this question









$endgroup$




I want to get the value of this integral:
$$int_s^infty left(frac{a}{z(z-b)} right) dz$$
where a and b denote real constant , and b > s



so there is a singularity and I don't know how to get the value of this integral.



Any help will be greatly appreaciated.







integration mathematical-physics complex-integration






share|cite|improve this question













share|cite|improve this question











share|cite|improve this question




share|cite|improve this question










asked Jan 13 at 11:53









Gene YGene Y

1




1












  • $begingroup$
    Welcome to MSE. Have you heard about the partial fraction decomposition?
    $endgroup$
    – user539887
    Jan 13 at 12:17


















  • $begingroup$
    Welcome to MSE. Have you heard about the partial fraction decomposition?
    $endgroup$
    – user539887
    Jan 13 at 12:17
















$begingroup$
Welcome to MSE. Have you heard about the partial fraction decomposition?
$endgroup$
– user539887
Jan 13 at 12:17




$begingroup$
Welcome to MSE. Have you heard about the partial fraction decomposition?
$endgroup$
– user539887
Jan 13 at 12:17










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