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Recurrence relations for the Sheffer sequences. (English) Zbl 1251.05015
Summary: In this paper, using the production matrix of an exponential Riordan array $$[g(t), f(t)]$$, we give a recurrence relation for the Sheffer sequence for the ordered pair $$(g(t), f(t))$$. We also develop a new determinant representation for the general term of the Sheffer sequence. As applications, determinant expressions for some classical Sheffer polynomial sequences are derived.

##### MSC:
 05A40 Umbral calculus
Full Text:
##### References:
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