Polynomials of multipartitional type and inverse relations
Miloud Mihoubi; Hacène Belbachir
Discussiones Mathematicae - General Algebra and Applications (2011)
- Volume: 31, Issue: 2, page 185-199
- ISSN: 1509-9415
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topMiloud Mihoubi, and Hacène Belbachir. "Polynomials of multipartitional type and inverse relations." Discussiones Mathematicae - General Algebra and Applications 31.2 (2011): 185-199. <http://eudml.org/doc/276555>.
@article{MiloudMihoubi2011,
abstract = {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.},
author = {Miloud Mihoubi, Hacène Belbachir},
journal = {Discussiones Mathematicae - General Algebra and Applications},
keywords = {Bell polynomials; inverses relations; polynomials of multipartitional type; binomial type sequences; polynomials of multipartitional},
language = {eng},
number = {2},
pages = {185-199},
title = {Polynomials of multipartitional type and inverse relations},
url = {http://eudml.org/doc/276555},
volume = {31},
year = {2011},
}
TY - JOUR
AU - Miloud Mihoubi
AU - Hacène Belbachir
TI - Polynomials of multipartitional type and inverse relations
JO - Discussiones Mathematicae - General Algebra and Applications
PY - 2011
VL - 31
IS - 2
SP - 185
EP - 199
AB - 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.
LA - eng
KW - Bell polynomials; inverses relations; polynomials of multipartitional type; binomial type sequences; polynomials of multipartitional
UR - http://eudml.org/doc/276555
ER -
References
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- [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 Zbl1241.60007
- [3] E.T. Bell, Exponential polynomials, Ann. Math. 35 (1934), 258-277. doi: 10.2307/1968431 Zbl60.0295.01
- [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 Zbl1084.05009
- [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 Zbl1147.05006
- [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). Zbl0194.00502
- [10] S. Roman, The Umbral Calculus (New York: Academic Press, 1984). Zbl0536.33001
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