Polynomials of multipartitional type and inverse relations

• Autorzy: Miloud Mihoubi , Hacène Belbachir
• Języki publikacji: EN

Abstrakty

EN

Chou, Hsu and Shiue gave some applications of Faà di Bruno's formula to characterize inverse relations. Our aim is to develop some inverse relations connected to the multipartitional type polynomials involving to binomial type sequences.

Słowa kluczowe

EN

Bell polynomials; inverses relations; polynomials of multipartitional type; binomial type sequences

Kategorie tematyczne

• 40E15: Lacunary inversion theorems
• 11B73: Bell and Stirling numbers
• 11B83: Special sequences and polynomials
• 05A10: Factorials, binomial coefficients, combinatorial functions

• Wydawca: Faculty of Mathematics, Computer Science and Econometrics, University of Zielona Góra
• Czasopismo: Discussiones Mathematicae - General Algebra and Applications
• Rocznik: 2011
• Tom: 31
• Numer: 2
• Strony: 185-199

Daty

wydano

2011

otrzymano

2011-02-24

poprawiono

2011-09-06

Twórcy

autor

Miloud Mihoubi

• University of Science and Technology Houari Boumediene, USTHB, Faculty of Mathematics, P.B. 32 El Alia, 16111, Algiers, Algeria

autor

Hacène Belbachir

• University of Science and Technology Houari Boumediene, USTHB, Faculty of Mathematics, P.B. 32 El Alia, 16111, Algiers, Algeria

Bibliografia

• [1] H. Belbachir, S. Bouroubi and A. Khelladi, Connection between ordinary multinomials, generalized Fibonacci numbers, partial Bell partition polynomials and convolution powers of discrete uniform distribution, Ann. Math. Inform. 35 (2008), 21-30.
• [2] H. Belbachir, Determining the mode for convolution powers of discrete uniform distribution, Probability in the Engineering and Informational Sciences 25 (2011), 469-475. doi: 10.1017/S0269964811000131
• [3] E.T. Bell, Exponential polynomials, Ann. Math. 35 (1934), 258-277. doi: 10.2307/1968431
• [4] W.S. Chou, L.C. Hsu and P.J.S. Shiue, Application of Faà di Bruno's formula in characterization of inverse relations, J. Comput. Appl. Math. 190 (2006), 151-169. doi: 10.1016/j.cam.2004.12.041
• [5]L. Comtet, Advanced Combinatorics (Dordrecht, Netherlands, Reidel, 1974). doi: 10.1007/978-94-010-2196-8
• [6] M. Mihoubi, Bell polynomials and binomial type sequences, Discrete Math. 308 (2008), 2450-2459. doi: 10.1016/j.disc.2007.05.010
• [7] M. Mihoubi, Bell polynomials and inverse relations, J. Integer Seq. 13 (2010), Article 10.4.5.
• [8] M. Mihoubi, The role of binomial type sequences in determination identities for Bell polynomials, to appear in Ars Combin., Preprint available at online: http://arxiv.org/abs/0806.3468v1.
• [9] J. Riordan, Combinatorial Identities (Huntington, NewYork, 1979).
• [10] S. Roman, The Umbral Calculus (New York: Academic Press, 1984).

Identyfikatory

DOI

10.7151/dmgaa.1182