generating function for Fibonacci sequence
Portfolio generating functions with stock price jumps;
By using this method, we deduced the probability generating function of the binomial distribution in the Markov dependent sequence.
For gated service discipline, the generating functions of waiting time of customer and polling cycle time are derived, and, by using Markov chain theory, mean of queue length is obtained.
A general form of generating function of two parameter stationary streams of random events with independent increments is represented briefly.
By inverse technique and generating function, we generalize Vinh's two identities of derangements to a more setting.