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Article Dans Une Revue Fixed Point Theory and Applications Année : 2013

Hecke operators type and generalized Apostol-Bernoulli polynomials

Résumé

Abstract In this paper, we construct some Hecke-type operators acting on the complex polynomials space, and we prove their commutativity. By means of this commutativity, we find a new approach to establish the generating function of the Apostol-Bernoulli type polynomials which are eigenfunctions of these Hecke-type operators. Moreover, we derive many useful identities related to these operators and polynomials. MSC: 11M35, 30B40, 30B50.

Dates et versions

hal-04464013 , version 1 (17-02-2024)

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Aykut Ahmet Aygunes, Abdelmejid Bayad, Yilmaz Simsek. Hecke operators type and generalized Apostol-Bernoulli polynomials. Fixed Point Theory and Applications, 2013, 2013 (1), pp.92. ⟨10.1186/1687-1812-2013-92⟩. ⟨hal-04464013⟩
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