We introduce a regularisation process for a sequence of real numbers computing the constant coefficient in an asymptotic expansion associated with the original sequence. We give explicit computations in several interesting particular cases. This approach originates in a geometric context.

Spreafico, M., Zaccagnini, A. (2021). Regularising Infinite Products by the Asymptotics of Finite Products. In S. Albeverio, A. Balslev, R. Weder (a cura di), Schrödinger Operators, Spectral Analysis and Number Theory In Memory of Erik Balslev (pp. 255-269). Springer Cham [10.1007/978-3-030-68490-7_13].

Regularising Infinite Products by the Asymptotics of Finite Products

Spreafico, M
;
2021

Abstract

We introduce a regularisation process for a sequence of real numbers computing the constant coefficient in an asymptotic expansion associated with the original sequence. We give explicit computations in several interesting particular cases. This approach originates in a geometric context.
Capitolo o saggio
Infinite product regularization; Asymptotic expansion; Special functions
English
Schrödinger Operators, Spectral Analysis and Number Theory In Memory of Erik Balslev
Albeverio, S; Balslev, A; Weder, R
4-giu-2021
2021
9783030684891
348 PROMS
Springer Cham
255
269
Spreafico, M., Zaccagnini, A. (2021). Regularising Infinite Products by the Asymptotics of Finite Products. In S. Albeverio, A. Balslev, R. Weder (a cura di), Schrödinger Operators, Spectral Analysis and Number Theory In Memory of Erik Balslev (pp. 255-269). Springer Cham [10.1007/978-3-030-68490-7_13].
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/10281/452761
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