scientific article; zbMATH DE number 7405348

DOI10.24411/2500-0101-2020-15106zbMath1475.62117MaRDI QIDQ5153850

I. V. Tikhonov, D. G. Tsvetkovich, V. B. Sherstyukov

Publication date: 1 October 2021

Full work available at URL: http://mathnet.ru/eng/chfmj169

Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.

zbMATH Keywords

gamma functiontwo-sided estimatescontinued fractionscentral binomial coefficientsystems of computer mathematics

Mathematics Subject Classification ID

Point estimation (62F10) Factorials, binomial coefficients, combinatorial functions (05A10) Binomial coefficients; factorials; (q)-identities (11B65)

Related Items (6)

Integral representations of quantities associated with Gamma function ⋮ On a connection of Bernstein and Kantorovich polynomials for a symmetric modulus function ⋮ Integral representations, monotonic properties, and inequalities on extended central binomial coefficient ⋮ Asymptotic behavior of remainders of special number series ⋮ Simple, accurate, asymptotic estimates for the ratio of two gamma functions ⋮ Unnamed Item

Cites Work

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• New approximation formulas for evaluating the ratio of gamma functions
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• On the asymptotic expansion of a ratio of gamma functions
• Wallis's product, Brouncker's continued fraction, and Leibniz's series
• Inequalities for binomial coefficients
• Bounds for the ratio of two gamma functions: from Wendel's asymptotic relation to Elezović-Giordano-Pečarić's theorem
• The asymptotic expansion of a ratio of gamma functions
• New asymptotic expansions of the quotient of gamma functions
• On Wallis' formula
• A Note on Gamma Functions
• Catching Proteus: the collaborations of Wallis and Brounker. I. Squaring the circle

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