Stirling's approximation and a hidden link between two of Ramanujan's approximations

DOI10.1016/j.jcta.2023.105740OpenAlexW4322755801MaRDI QIDQ2700959

Cormac O'Sullivan

Publication date: 27 April 2023

Published in: Journal of Combinatorial Theory. Series A (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2208.02898

zbMATH Keywords

exponential functionexponential integralgamma functionasymptotic approximation

Mathematics Subject Classification ID

Sequences and sets (11Bxx) Enumerative combinatorics (05Axx) Approximations and expansions (41Axx)

Uses Software

• OEIS

Cites Work

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• Some applications of the generalized Eulerian numbers
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• De Moivre and Bell polynomials
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• A New Derivation of Stirling's Approximation to n!
• Concerning Two Series for the Gamma Function
• Lagrange inversion
• On the asymptotic representation of the Euler gamma function by Ramanujan