1. It helps improve the generating function of the body.

2. Based on microstate generating function, a term generating function and atomic terms were obtained. The method is suitable for both equivalent and nonequivalent electronic configurations.

3. The probability generating function of the number of customers in the waiting line and the steady-state distribution of the waiting line size are obtained.

4. A closed form for the exponential generating function of the generalized Cauchy numbers is obtained.

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5. This paper discusses some properties for multivariate generating function of graphical sequences, including cutset theorem and some recurrence properties.

6. In this paper, we utilize exponential generating function to establish an identical formula describing the relationship between Bernoulli number and Stirling number of the second kind.

7. In this paper, we solve the question of combination number by virture of generating function, so it offers convenience to some question of combinatorial number.

8. This paper gives an explicit solution to linear non-homogeneous recurrence relations with constant coefficients by means of generating function.

9. By the method of supplemental variable and the state transfer analyses , queues generating function ha.

10. The queueing process on the loop is modeled as a two-dimensional Markov chain, the queueing behavior is evaluated using the generating function approach.

11. In linux using the script file to achieve, the realization of FTP transfer. Script generating function.

12. The main purpose of this paper is using the element ary method and the generating function of Laguerre's Polynomials to give some id entities involving Laguerre's Polynomials.

13. In the proof, an approach of applying the conditional moment generating function to the investigation of the strong limit theorem for gambling system is proposed.

14. By use of the supplemental variable method, the queues generating function has been obtained.

15. The relation of branching random transition matrix and random generating function are investigated.