Complete monotonicity of solutions of the Abel equation F(ex)=F(x)+1

• Autorzy: Hilberdink Titus

Identyfikatory

DOI

10.4064/ba230411-18-6

• Języki publikacji: EN

Abstrakty

EN

We investigate the functions F : R → R which are C ∞ solutions of the Abel functional equation F(ex) = F(x) + 1. In particular, we determine the asymptotic behaviour of the derivatives and show that no solution can have F′completely monotonic on any interval (α, ∞). We discuss what could be considered the best behaved solution of this equation.

Słowa kluczowe

EN

Abel functional equation; complete monotonicity

• Wydawca: Instytut Matematyczny PAN
• Czasopismo: Bulletin of the Polish Academy of Sciences. Mathematics
• Rocznik: 2023
• Tom: Vol. 71, no 2
• Strony: 135--146
• Opis fizyczny: Bibliogr. 13 poz.

Twórcy

autor

Hilberdink Titus

• Department of Mathematics and Statistics, University of Reading, Reading, RG6 6AX, UK

Bibliografia

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Uwagi

Opracowanie rekordu ze środków MNiSW, umowa nr SONP/SP/546092/2022 w ramach programu "Społeczna odpowiedzialność nauki" - moduł: Popularyzacja nauki i promocja sportu (2024)