Approximating Modified Bessel functions of the first kind
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I have come across expressions such as $I_nu(x_1x_2)$ where $x_1,x_2$ are positive reals, $nu$ is non-negative integer, and $I$ is the modified Bessel function of the first kind. I was wondering if there is a convenient approximation where I can write $$I_nu(x_1x_2)approx f_nu(x_1)f_nu(x_2)$$
I am interested in the range $nu<10$ and $x_1,x_2<10$.
taylor-expansion bessel-functions
asked Dec 20 '18 at 9:05
Amir HajibabaeiAmir Hajibabaei
11
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add a comment |
$begingroup$
I have come across expressions such as $I_nu(x_1x_2)$ where $x_1,x_2$ are positive reals, $nu$ is non-negative integer, and $I$ is the modified Bessel function of the first kind. I was wondering if there is a convenient approximation where I can write $$I_nu(x_1x_2)approx f_nu(x_1)f_nu(x_2)$$
I am interested in the range $nu<10$ and $x_1,x_2<10$.
taylor-expansion bessel-functions
asked Dec 20 '18 at 9:05
Amir HajibabaeiAmir Hajibabaei
11
$endgroup$
add a comment |
$begingroup$
I have come across expressions such as $I_nu(x_1x_2)$ where $x_1,x_2$ are positive reals, $nu$ is non-negative integer, and $I$ is the modified Bessel function of the first kind. I was wondering if there is a convenient approximation where I can write $$I_nu(x_1x_2)approx f_nu(x_1)f_nu(x_2)$$
I am interested in the range $nu<10$ and $x_1,x_2<10$.
taylor-expansion bessel-functions
asked Dec 20 '18 at 9:05
Amir HajibabaeiAmir Hajibabaei
11
$endgroup$
I have come across expressions such as $I_nu(x_1x_2)$ where $x_1,x_2$ are positive reals, $nu$ is non-negative integer, and $I$ is the modified Bessel function of the first kind. I was wondering if there is a convenient approximation where I can write $$I_nu(x_1x_2)approx f_nu(x_1)f_nu(x_2)$$
I am interested in the range $nu<10$ and $x_1,x_2<10$.
taylor-expansion bessel-functions
taylor-expansion bessel-functions
asked Dec 20 '18 at 9:05
Amir HajibabaeiAmir Hajibabaei
11
asked Dec 20 '18 at 9:05
Amir HajibabaeiAmir Hajibabaei
11
asked Dec 20 '18 at 9:05
Amir HajibabaeiAmir Hajibabaei
11
asked Dec 20 '18 at 9:05
Amir HajibabaeiAmir Hajibabaei
11
asked Dec 20 '18 at 9:05
Amir HajibabaeiAmir Hajibabaei
11
11
add a comment |
add a comment |
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