Recurrence relations for the Sheffer sequences

Abstract 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.

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