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.










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












$begingroup$


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










0






active

oldest

votes











Your Answer





StackExchange.ifUsing("editor", function () {
return StackExchange.using("mathjaxEditing", function () {
StackExchange.MarkdownEditor.creationCallbacks.add(function (editor, postfix) {
StackExchange.mathjaxEditing.prepareWmdForMathJax(editor, postfix, [["$", "$"], ["\\(","\\)"]]);
});
});
}, "mathjax-editing");

StackExchange.ready(function() {
var channelOptions = {
tags: "".split(" "),
id: "69"
};
initTagRenderer("".split(" "), "".split(" "), channelOptions);

StackExchange.using("externalEditor", function() {
// Have to fire editor after snippets, if snippets enabled
if (StackExchange.settings.snippets.snippetsEnabled) {
StackExchange.using("snippets", function() {
createEditor();
});
}
else {
createEditor();
}
});

function createEditor() {
StackExchange.prepareEditor({
heartbeatType: 'answer',
autoActivateHeartbeat: false,
convertImagesToLinks: true,
noModals: true,
showLowRepImageUploadWarning: true,
reputationToPostImages: 10,
bindNavPrevention: true,
postfix: "",
imageUploader: {
brandingHtml: "Powered by u003ca class="icon-imgur-white" href="https://imgur.com/"u003eu003c/au003e",
contentPolicyHtml: "User contributions licensed under u003ca href="https://creativecommons.org/licenses/by-sa/3.0/"u003ecc by-sa 3.0 with attribution requiredu003c/au003e u003ca href="https://stackoverflow.com/legal/content-policy"u003e(content policy)u003c/au003e",
allowUrls: true
},
noCode: true, onDemand: true,
discardSelector: ".discard-answer"
,immediatelyShowMarkdownHelp:true
});


}
});














draft saved

draft discarded


















StackExchange.ready(
function () {
StackExchange.openid.initPostLogin('.new-post-login', 'https%3a%2f%2fmath.stackexchange.com%2fquestions%2f3071930%2fvalue-of-integral-of-omnes-function%23new-answer', 'question_page');
}
);

Post as a guest















Required, but never shown

























0






active

oldest

votes








0






active

oldest

votes









active

oldest

votes






active

oldest

votes
















draft saved

draft discarded




















































Thanks for contributing an answer to Mathematics Stack Exchange!


  • Please be sure to answer the question. Provide details and share your research!

But avoid



  • Asking for help, clarification, or responding to other answers.

  • Making statements based on opinion; back them up with references or personal experience.


Use MathJax to format equations. MathJax reference.


To learn more, see our tips on writing great answers.




draft saved


draft discarded














StackExchange.ready(
function () {
StackExchange.openid.initPostLogin('.new-post-login', 'https%3a%2f%2fmath.stackexchange.com%2fquestions%2f3071930%2fvalue-of-integral-of-omnes-function%23new-answer', 'question_page');
}
);

Post as a guest















Required, but never shown





















































Required, but never shown














Required, but never shown












Required, but never shown







Required, but never shown

































Required, but never shown














Required, but never shown












Required, but never shown







Required, but never shown







Popular posts from this blog

android studio warns about leanback feature tag usage required on manifest while using Unity exported app?

SQL update select statement

WPF add header to Image with URL pettitions [duplicate]