Derived sequences.
Cohen, C.L., Iannucci, D.E. (2003)
Journal of Integer Sequences [electronic only]
Lutz Lucht (1976)
Journal für die reine und angewandte Mathematik
Seoung Cheon Ryoo (2016)
Open Mathematics
In this paper, we study differential equations arising from the generating functions of the generalized Bell polynomials.We give explicit identities for the generalized Bell polynomials. Finally, we investigate the zeros of the generalized Bell polynomials by using numerical simulations.
Michel Mendès France, G. Tenenbaum (1981)
Bulletin de la Société Mathématique de France
Simpson, Jamie (2004)
Integers
Wood, David R. (2006)
The Electronic Journal of Combinatorics [electronic only]
Matthias Schork (2006)
Open Mathematics
It is shown that duality triads of higher rank are closely related to orthogonal matrix polynomials on the real line. Furthermore, some examples of duality triads of higher rank are discussed. In particular, it is shown that the generalized Stirling numbers of rank r give rise to a duality triad of rank r.
Saleem Al-Ashhab (2013)
Matematički Vesnik
Edmund Hlawka (1972)
Monatshefte für Mathematik
Bernd Richter (1974)
Journal für die reine und angewandte Mathematik
Werner Brakemeier (1978)
Monatshefte für Mathematik
SooAh Chang, Scott T. Chapman, William W. Smith (2007)
Mathematica Slovaca
Beslin, Scott J. (1992)
International Journal of Mathematics and Mathematical Sciences
van der Poorten, Alfred J. (2005)
Journal of Integer Sequences [electronic only]
Ahmed Ait-Mokhtar, Abdelkader Necer, Alain Salinier (2008)
Journal de Théorie des Nombres de Bordeaux
Cet article traite des endomorphismes de l’algèbre de Hadamard des suites et plus particulièrement de l’algèbre des suites récurrentes linéaires. Il caractérise les endomorphismes continus de l’algèbre des suites et contient, dans le cas d’un corps commutatif de caractéristique nulle, une détermination complète des endomorphismes continus de l’algèbre des suites récurrentes linéaires grâce à la notion nouvelle d’application semi-affine de dans .
D. Gardy, D. Gouyou-Beauchamps (1992)
RAIRO - Theoretical Informatics and Applications - Informatique Théorique et Applications
L. Carlitz (1971)
Acta Arithmetica
Corteel, Sylvie, Lee, Sunyoung, Savage, Carla D. (2005)
Séminaire Lotharingien de Combinatoire [electronic only]
P.L. Butzer, M. Hauss (1993)
Aequationes mathematicae
István Mező, Ayhan Dil (2009)
Open Mathematics
In this paper we use the Euler-Seidel method for deriving new identities for hyperharmonic and r-Stirling numbers. The exponential generating function is determined for hyperharmonic numbers, which result is a generalization of Gosper’s identity. A classification of second order recurrence sequences is also given with the help of this method.