On values of the psi function

• Autorzy: Adam M. , Piątek B. , Pleszczyński M. , Smoleń B. , Wituła R.

Identyfikatory

DOI

10.17512/jamcm.2017.1.01

• Języki publikacji: EN

Abstrakty

EN

In the present paper, values of the psi function for many arguments connected with the golden ratio and Fibonacci numbers are determined or given in alternative form. Moreover, some integral representation of the psi function is found. This is a potential calculation base of values of the psi function for powers of argument. We also note that this integral representation gives better numerical estimation of values of the psi function than the respective Legendre’s integral formula.

Słowa kluczowe

EN

psi function; golden ratio; Fibonacci numbers

PL

funkcja psi; złota proporcja; liczby Fibonacciego

• Wydawca: Wydawnictwo Politechniki Częstochowskiej
• Czasopismo: Journal of Applied Mathematics and Computational Mechanics
• Rocznik: 2017
• Tom: Vol. 16, nr 1
• Strony: 7--18
• Opis fizyczny: Bibliogr. 21 poz.

Twórcy

autor

Adam M.

• Institute of Mathematics, Silesian University of Technology Gliwice, Poland

autor

Piątek B.

• Institute of Mathematics, Silesian University of Technology Gliwice, Poland

autor

Pleszczyński M.

• Institute of Mathematics, Silesian University of Technology Gliwice, Poland

autor

Smoleń B.

• Institute of Mathematics, Silesian University of Technology Gliwice, Poland

autor

Wituła R.

• Institute of Mathematics, Silesian University of Technology Gliwice, Poland

Bibliografia

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Uwagi

Opracowanie ze środków MNiSW w ramach umowy 812/P-DUN/2016 na działalność upowszechniającą naukę (zadania 2017).