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On connection sequence for equivalent polynomial sets |
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| Authors: | Hamza Chaggara Radhouan Mbarki |
| Institution: | 1. école Supérieure des Sciences et de Technologie, Sousse University, Sousse, Tunisiahamza.chaggara@ipeim.rnu.tn;3. Institut Préparatoire aux études d'Ingénieur, Monastir University, Monastir, Tunisia |
| Abstract: | The main purpose of this paper is to study the connection sequence between two polynomial sets. We prove that any two equivalent polynomial sets can be connected with a Sheffer sequence. The principal result presents a unification of some useful known results. The inversion, addition and duplication sequences are considered as particular cases. Moreover, some examples are given. |
| Keywords: | Connection sequences lowering operators raising operators generating functions σ-Appell polynomials Boas–Buck polynomials inversion sequence duplication sequence addition sequence connection law connection matrix |