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user44143
user44143

Is there a solution to $\int_{0\lambda}^{y}(x-a)^{-b}x^{-c}\exp\left( -d x^{-e} \right)dx$?

I'm looking for a solution to the following integral.

$$\int_{\lambda}^{y}(x-a)^{-b}x^{-c}\exp\left( -d x^{-e} \right)dx,$$ where $a > 0$, $a < \lambda$, $\lambda>0$, $b > 0$, $c > 0$, $d > 0$, $e > 0$,$b,c,d,e> 0$ and $y > \lambda$$0< a < \lambda < y$.

This equation appears in the context of Physical Layer Security, which is an area of study in digital communications (telecom).

Is there a solution to $\int_{0}^{y}(x-a)^{-b}x^{-c}\exp\left( -d x^{-e} \right)dx$?

I'm looking for a solution to the following integral.

$$\int_{\lambda}^{y}(x-a)^{-b}x^{-c}\exp\left( -d x^{-e} \right)dx,$$ where $a > 0$, $a < \lambda$, $\lambda>0$, $b > 0$, $c > 0$, $d > 0$, $e > 0$, and $y > \lambda$.

This equation appears in the context of Physical Layer Security, which is an area of study in digital communications (telecom).

Is there a solution to $\int_{\lambda}^{y}(x-a)^{-b}x^{-c}\exp\left( -d x^{-e} \right)dx$?

I'm looking for a solution to the following integral.

$$\int_{\lambda}^{y}(x-a)^{-b}x^{-c}\exp\left( -d x^{-e} \right)dx,$$ where $b,c,d,e> 0$ and $0< a < \lambda < y$.

This equation appears in the context of Physical Layer Security, which is an area of study in digital communications (telecom).

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I'm looking for a solution to the following integral.

$$\int_{0}^{y}(x-a)^{-b}x^{-c}\exp\left( -d x^{-e} \right)dx,$$$$\int_{\lambda}^{y}(x-a)^{-b}x^{-c}\exp\left( -d x^{-e} \right)dx,$$ where $a > 0$, $a < \lambda$, $\lambda>0$, $b > 0$, $c > 0$, $d > 0$, and $e > 0$, and $y > \lambda$.

This equation appears in the context of Physical Layer Security, which is an area of study in digital communications (telecom).

I'm looking for a solution to the following integral.

$$\int_{0}^{y}(x-a)^{-b}x^{-c}\exp\left( -d x^{-e} \right)dx,$$ where $a > 0$, $b > 0$, $c > 0$, $d > 0$, and $e > 0$.

This equation appears in the context of Physical Layer Security, which is an area of study in digital communications (telecom).

I'm looking for a solution to the following integral.

$$\int_{\lambda}^{y}(x-a)^{-b}x^{-c}\exp\left( -d x^{-e} \right)dx,$$ where $a > 0$, $a < \lambda$, $\lambda>0$, $b > 0$, $c > 0$, $d > 0$, $e > 0$, and $y > \lambda$.

This equation appears in the context of Physical Layer Security, which is an area of study in digital communications (telecom).

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