What Is Difference Between Short Run & Long Production Function?

An analysis of the production decision made by a firm in the long run. The central characteristic of long-run production analysis is that all inputs under the control of the firm are variable. The central principle guiding production in the long run is returns to scale, which indicates how production responds to proportional changes in all inputs. A contrasting analysis is short-run production analysis.
 
Short Run: The short run is a period of time in which at least one input used for production and under the control of the producer is variable and at least one input is fixed.
Long Run: The long run is a period of time in which at all inputs used for production and under the control of the producer are variable

Difference between traditional and modern cost theory

Please write a short and long run production theories

The difference between the short run and the long run

The only difference between the above two is the time duration. The short run production function works for only a few years and the cost varies accordingly. Similarly the long run is for the longer duration and high in cost.

In short run- input output relations are studied with one variable  input.
Long run -  input-output relations are studied assuming all the input to be variable.