论文信息 - Bell polynomials and binomial type sequences

Bell polynomials and binomial type sequences

This paper concerns the study of the Bell polynomials and the binomial type sequences. We mainly establish some relations tied to these important concepts. Furthermore, these obtained results are exploited to deduce some interesting relations concerning the Bell polynomials which enable us to obtain some new identities for the Bell polynomials. Our results are illustrated by some comprehensive examples.

Miloud Mihoubi

[1] Paolo Emilio Ricci,et al. Symbolic Computation of Newton Sum Rules for the Zeros of Polynomial Eigenfunctions of Linear Differential Operators , 2001, Numerical Algorithms.

[2] John Riordan,et al. Introduction to Combinatorial Analysis , 1958 .

[3] Louis Comtet,et al. Analyse combinatoire avancée , 2015, Mathématiques.

[4] M. Aigner. Combinatorial Order Theory , 1979 .

[5] John Riordan,et al. Inverse Relations and Combinatorial Identities , 1964 .

[6] Sadek Bouroubi,et al. On new identities for Bell's polynomials , 2005, Discret. Math..

[7] Jiang Zeng. Multinomial convolution polynomials , 1996, Discret. Math..

[8] C. Collins. The role of Bell polynomials in integration , 2001 .

[9] Paolo Ricci,et al. Bell polynomials and differential equations of Freud-type polynomials , 2002 .

[10] Peter Kirschenhofer,et al. A note on alternating sums , 1995, Electron. J. Comb..

[11] John Riordan,et al. Introduction to Combinatorial Analysis , 1959 .

[12] Steven Roman. The Umbral Calculus , 1984 .