On values of the psi function

DOI10.17512/jamcm.2017.1.01zbMath1468.33021OpenAlexW2604093764MaRDI QIDQ2659406

Roman Wituła, Barbara Smoleń, Mariusz Pleszczyński, Marcin Adam, Bozena Piatek

Publication date: 26 March 2021

Published in: Journal of Applied Mathematics and Computational Mechanics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.17512/jamcm.2017.1.01

zbMATH Keywords

Fibonacci numberspsi functiongolden ratio

Mathematics Subject Classification ID

Special functions in characteristic (p) (gamma functions, etc.) (33E50) Functional equations for complex functions (39B32)

Uses Software

• DLMF

Cites Work

• The monotonicity and convexity of a function involving psi function with applications
• Estimations of psi function and harmonic numbers
• The proof of Muqattash-Yahdi conjecture
• On some series containing \(\psi{}(x)-\psi{}(y)\) and \((\psi{}(x)- \psi{}(y))^ 2\) for certain values of \(x\) and \(y\)
• Limits, series, and fractional part integrals. Problems in mathematical analysis
• Certain inequalities connected with the golden ratio and the Fibonacci numbers
• Note on an integral of Ramanujan
• Sharp bounds for the psi function and harmonic numbers
• δ-Fibonacci numbers
• Some properties of the gamma and psi functions, with applications
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