# Sum/integral/zeta functions/ Gamma functions

• robousy
In summary, a sum function is a mathematical function that adds together a sequence of numbers, while an integral function represents the area under a curve in a graph. A zeta function is defined as the infinite sum of reciprocals of natural numbers raised to a specific power and is often used in number theory. A gamma function extends the concept of a factorial to complex numbers and is commonly used in statistics. These functions are all related through their properties and applications, such as the zeta function being represented as a sum and used to calculate the gamma function. The integral function is also frequently used to find the values of zeta and gamma functions. Overall, these functions are interconnected and have significant roles in mathematics.
robousy
[SOLVED] sum/integral/zeta functions/ Gamma functions

...problem solved. Question erased.

Last edited:

can you help me to solve
gamma (x+z)

i'm no expert but would imagine that posting a 'question' in a thread marked solved won't solicit much of a response.

## 1. What is a Sum Function?

A sum function is a mathematical function that adds together a sequence of numbers. It is often represented using the sigma symbol (Σ) and can be used to find the total of a finite or infinite series of numbers.

## 2. What is an Integral Function?

An integral function is a mathematical function that represents the area under a curve in a graph. It is often represented using the integral symbol (∫) and can be used to find the total value of a continuous function over a given interval.

## 3. What is a Zeta Function?

A zeta function is a mathematical function that is defined as the infinite sum of the reciprocals of the natural numbers raised to a specific power. It is often used in number theory and has connections to the distribution of prime numbers.

## 4. What is a Gamma Function?

A gamma function is a mathematical function that extends the concept of a factorial to all complex numbers. It is often used in statistics and can be used to calculate the areas under certain probability distributions.

## 5. How are Sum, Integral, Zeta, and Gamma Functions related?

Sum, integral, zeta, and gamma functions are all types of special functions in mathematics. They are related in various ways, such as through their properties and applications. For example, the zeta function can be represented as a sum of infinite terms and can also be used to calculate the gamma function for certain values. Additionally, the integral function is often used to find the values of zeta and gamma functions. Overall, these functions are all interconnected and play important roles in different areas of mathematics.

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