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Stirling’s Original Asymptotic Series from a Formula Like One of Binet’s and its Evaluation by Sequence Acceleration

Experimental Mathematics, 2018
We give an apparently new proof of Stirling’s original asymptotic formula for the behavior of for large z. Stirling’s original formula is not the formula widely known as “Stirling’s formula”, which was actually due to De Moivre.
Robert M Corless, Leili Rafiee Sevyeri
semanticscholar   +1 more source

Simple and reliable analytic approximation to the numerical solution of the relativistic Binet’s equation: an application to Mercury

Proceedings of the Estonian Academy of Sciences
The nonlinear trajectory equation (Binet’s equation) for a particle in a relativistic force field can only be solved numerically or, alternatively, by using a perturbational solution scheme.
Matti Selg
semanticscholar   +1 more source

A combinatorial formula for recursive operator sequences and applications

Constructive Mathematical Analysis
We study sequences of bounded operators \((T_n)_{n \ge 0}\) on a complex separable Hilbert space \(\mathcal{H}\) that satisfy a linear recurrence relation of the form $$ T_{n+r} = A_0 T_n + A_1 T_{n+1} + \cdots + A_{r-1} T_{n+r-1} \quad(\textrm{for all }
Ra�l Curto   +3 more
semanticscholar   +1 more source

Pseudo-halide anion engineering for α-FAPbI3 perovskite solar cells

Nature, 2021
Jaeki Jeong, Jongdeuk Seo, Haizhou Lu
exaly  

Ray tracing in concentric gradient-index media: optical Binet equation.

Journal of The Optical Society of America A-optics Image Science and Vision, 2022
Wanguo Liu
semanticscholar   +1 more source

Binet’s Formula Generalized

The Fibonacci Quarterly, 1977
openaire   +2 more sources

New Horizon of Nanoparticle and Cluster Catalysis with Dendrimers

Chemical Reviews, 2020
Kimihisa Yamamoto   +2 more
exaly  

A cyclic phosphate-based battery electrolyte for high voltage and safe operation

Nature Energy, 2020
Qifeng Zheng, Yuki Yamada, Rui Shang
exaly  

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