Asymptotic behavior of a function. Saddle point method.

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I have a question concerning the saddle point method of steepest decent. I know how tu use this method when the $lambdato infty$ in
$$int_C f(z)exp^lambda g(z),,$$
but i have no clue how to use it when the $lambdato infty$ in the following case
$$int_C f(z)exp^-lambda g(z).$$
In first case I am querying for the steepest descent method. But in the second should I choose the method of steepest ascent then?










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    You should just define $h(z) = -g(z)$, then use the method as in the first case.
    – Antonio Vargas
    Sep 11 at 4:10














up vote
-1
down vote

favorite












I have a question concerning the saddle point method of steepest decent. I know how tu use this method when the $lambdato infty$ in
$$int_C f(z)exp^lambda g(z),,$$
but i have no clue how to use it when the $lambdato infty$ in the following case
$$int_C f(z)exp^-lambda g(z).$$
In first case I am querying for the steepest descent method. But in the second should I choose the method of steepest ascent then?










share|cite|improve this question

















  • 1




    You should just define $h(z) = -g(z)$, then use the method as in the first case.
    – Antonio Vargas
    Sep 11 at 4:10












up vote
-1
down vote

favorite









up vote
-1
down vote

favorite











I have a question concerning the saddle point method of steepest decent. I know how tu use this method when the $lambdato infty$ in
$$int_C f(z)exp^lambda g(z),,$$
but i have no clue how to use it when the $lambdato infty$ in the following case
$$int_C f(z)exp^-lambda g(z).$$
In first case I am querying for the steepest descent method. But in the second should I choose the method of steepest ascent then?










share|cite|improve this question













I have a question concerning the saddle point method of steepest decent. I know how tu use this method when the $lambdato infty$ in
$$int_C f(z)exp^lambda g(z),,$$
but i have no clue how to use it when the $lambdato infty$ in the following case
$$int_C f(z)exp^-lambda g(z).$$
In first case I am querying for the steepest descent method. But in the second should I choose the method of steepest ascent then?







asymptotics gamma-function bessel-functions






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asked Sep 10 at 21:08









Sebastian Pinocy

1




1







  • 1




    You should just define $h(z) = -g(z)$, then use the method as in the first case.
    – Antonio Vargas
    Sep 11 at 4:10












  • 1




    You should just define $h(z) = -g(z)$, then use the method as in the first case.
    – Antonio Vargas
    Sep 11 at 4:10







1




1




You should just define $h(z) = -g(z)$, then use the method as in the first case.
– Antonio Vargas
Sep 11 at 4:10




You should just define $h(z) = -g(z)$, then use the method as in the first case.
– Antonio Vargas
Sep 11 at 4:10















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