FORMULAS DERIVED FROM MOMENT GENERATING FUNCTIONS AND BERNSTEIN POLYNOMIALS

Applicable Analysis and Discrete Mathematics

article

Buket Simsek¹ 

[1]Faculty of Engineering, Department of Electrical-Electronics Engineering University of Akdeniz TR-07058 Antalya

关键词: Distribution functions;    Special polynomials and numbers;    Characteristic Function;    generating functions;    Combinatorial Identities;   

DOI  :  10.2298/AADM191227036S

学科分类：社会科学、人文和艺术（综合）

来源: Univerzitet u Beogradu * Elektrotehnicki Fakultet / University of Belgrade, Faculty of Electrical Engineering

【 摘 要 】

The purpose of this paper is to provide some identities derived by momentgenerating functions and characteristics functions. By using functional equations of the generating functions for the combinatorial numbers y1 (m, n; λ),defined in [12, p. 8, Theorem 1], we obtain some new formulas for moments of discrete random variable that follows binomial (Newton) distribution with an application of the Bernstein polynomials. Finally, we presentpartial derivative formulas for moment generating functions which involvederivative formula of the Bernstein polynomials.

【 授权许可】

Unknown