On some sequences of polynomials generating the Genocchi numbers

A. K. Svinin

Matrosov Institute for System Dynamics and Control Theory of Siberian Branch of Russian Academy of Sciences, 134 Lermontova str., Irkutsk, 664033 Russia

Abstract: We consider equences of Genocchi numbers of the first and second kind. For these numbers, an approach based on their representation using sequences of polynomials is developed. Based on this approach, for these numbers some identities generalizing the known identities are constructed.

Keywords: Genocchi number, Gandhi polynomial.

UDC: 519.101

Received: 13.10.2019
Revised: 12.11.2019
Accepted: 18.12.2019

DOI: 10.26907/0021-3446-2020-9-85-95

 English version: Russian Mathematics (Izvestiya VUZ. Matematika), 2020, 64:9, 76–84

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