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Integration of Integrating an exponential with upper Incompleteincomplete gamma function with exponential functionfunctions

Your help in solving the following integration which consistsI would greatly appreciate calculating an integral consisting of an upper incomplete gamma function and an exponential function would be greatly appreciated. I need to find its Exact or closed-form non-numerical solution.

Integrate[Exp[-L * y] * Gamma[t, (Sqrt[z*Sqrt[z (y + w)/a])/n], {y, 0, Infinity}]

enter image description here

I would like to find it in an exact non-numerical closed-form.

Integration of upper Incomplete gamma function with exponential function

Your help in solving the following integration which consists of an upper incomplete gamma function and an exponential function would be greatly appreciated. I need to find its Exact or closed-form non-numerical solution.

Integrate[Exp[-L * y] * Gamma[t, (Sqrt[z*(y + w)/a])/n], {y, 0, Infinity}]

enter image description here

Integrating an exponential with upper incomplete gamma functions

I would greatly appreciate calculating an integral consisting of an upper incomplete gamma function and an exponential function.

Integrate[Exp[-L y] Gamma[t, (Sqrt[z (y + w)/a])/n], {y, 0, Infinity}]

enter image description here

I would like to find it in an exact non-numerical closed-form.

Formatted line of code.
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JimB
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Your help in solving the following integration which consists of an upper incomplete gamma function and an exponential function would be greatly appreciated. I need to find its Exact or closed-form non-numerical solution.

Integrate[Exp[-L * y] * Gamma[t, (Sqrt[z*(y + w)/a])/n], {y, 0, Infinity}]

Integrate[Exp[-L * y] * Gamma[t, (Sqrt[z*(y + w)/a])/n], {y, 0, Infinity}]

enter image description here

Your help in solving the following integration which consists of an upper incomplete gamma function and an exponential function would be greatly appreciated. I need to find its Exact or closed-form non-numerical solution.

Integrate[Exp[-L * y] * Gamma[t, (Sqrt[z*(y + w)/a])/n], {y, 0, Infinity}]

enter image description here

Your help in solving the following integration which consists of an upper incomplete gamma function and an exponential function would be greatly appreciated. I need to find its Exact or closed-form non-numerical solution.

Integrate[Exp[-L * y] * Gamma[t, (Sqrt[z*(y + w)/a])/n], {y, 0, Infinity}]

enter image description here

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