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A Riordan array approach to Apostol type-Sheffer sequences

A Riordan array approach to Apostol type-Sheffer sequences

In this article, the generalized Apostol type-Sheffer sequences are introduced and their properties including the quasi-monomiality, determinant form and series and conjugate representations are derived via Riordan array techniques. The generalized Apostol-Bernoulli, Apostol-Euler and Apostol- Genocchi-Sheffer sequences are considered as their special cases. Certain examples are framed in terms of …