Journal of Integer Sequences, Vol. 21 (2018), Article 18.5.1

Generalization of an Identity of Apostol


Abdelmoumène Zekiri and Farid Bencherif
LA3C Laboratory
Faculty of Mathematics
USTHB
Algiers
Algeria

Rachid Boumahdi
LA3C-USTHB
École Nationale Supérieure d'Informatique
Algiers
Algeria

Abstract:

We extend and generalize an identity of Apostol involving Bernoulli numbers, to every sequence of complex numbers. Moreover, our result allows us to obtain other relations involving Appell polynomial sequences and second-order linear recurrence sequences.

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(Concerned with sequences A000032 A000045 A000110 A000129 A001045 A002203 A014551.)

Received December 4 2017; revised versions received April 1 2018; April 2 2018. Published in Journal of Integer Sequences, May 9 2018.

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