What is incomplete gamma function? How are they evaluated

Thread starter suku
Start date Jul 12, 2010
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Function Gamma Gamma function

In summary, the incomplete gamma function is a mathematical function used to represent the area under the gamma probability density curve in statistics and mathematical physics. It can be evaluated using numerical integration techniques or special functions and has applications in various fields such as calculating probabilities and solving differential equations. It is a subset of the complete gamma function and can also be extended to complex numbers.

Jul 12, 2010

suku

What is incomplete gamma function? How are they evaluated?

thks for any ans.

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Jul 13, 2010

Rajini

In a gamma function, instead of limits from 0 to infinity, if you evaluate for other limits then it is called incomplete gamma function.
Have you noticed this link:
http://en.wikipedia.org/wiki/Incomplete_gamma_function

1. What is an incomplete gamma function?

The incomplete gamma function is a mathematical function that is used to represent the area under the gamma probability density curve. It is commonly used in statistics and mathematical physics to solve problems related to probability and statistics.

2. How is the incomplete gamma function evaluated?

The incomplete gamma function is evaluated using numerical integration techniques or by using special functions such as the gamma function and the upper incomplete gamma function. It can also be evaluated using computer software or calculators that have built-in functions for the incomplete gamma function.

3. What is the difference between the incomplete gamma function and the complete gamma function?

The incomplete gamma function only calculates the area under the gamma probability density curve up to a certain point, while the complete gamma function calculates the area under the curve for the entire range of values. The incomplete gamma function is therefore a subset of the complete gamma function.

4. What are the applications of the incomplete gamma function?

The incomplete gamma function has many applications, including calculating probabilities and cumulative distribution functions in statistics, solving differential equations in mathematical physics, and modeling radioactive decay and other natural phenomena.

5. Can the incomplete gamma function be extended to complex numbers?

Yes, the incomplete gamma function can be extended to complex numbers using the incomplete gamma function for complex numbers. This allows for the calculation of probabilities and cumulative distribution functions for complex systems and processes.