Asymptotic expansion related to the generalized Somos recurrence constant
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Publication:4971988
DOI10.1142/S1793042119501112zbMath1471.11039OpenAlexW2944338134MaRDI QIDQ4971988
Publication date: 22 November 2019
Published in: International Journal of Number Theory (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1142/s1793042119501112
asymptotic expansionBell polynomialsexplicit expressionApostol-Bernoulli numberssomos recurrence constant
Bernoulli and Euler numbers and polynomials (11B68) Recurrences (11B37) Asymptotic enumeration (05A16)
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- On Somos' quadratic recurrence constant
- Sums of products of Apostol-Bernoulli numbers
- Some generalizations of the Apostol-Bernoulli and Apostol-Euler polynomials
- A note on Somos' quadratic recurrence constant
- Estimating the Somos' quadratic recurrence constant
- Inequalities and asymptotic expansions related to the generalized Somos quadratic recurrence constant
- The generalized-Euler-constant function \(\gamma (z)\) and a generalization of Somos's quadratic recurrence constant
- Improved continued fraction sequence convergent to the Somos' quadratic recurrence constant
- Exponential polynomials
- New asymptotic expansions related to Somos' quadratic recurrence constant
- Some new continued fraction estimates of the Somos' quadratic recurrence constant
- Some identities involving exponential functions and Stirling numbers and applications
- On the Lerch zeta function
- Apostol-Bernoulli functions, derivative polynomials and Eulerian polynomials
- An Asymptotic Expansion for the Coefficients of Some Formal Power Series
- On the coefficients of an asymptotic expansion related to Somos' quadratic recurrence constant
- Two Nice Determinantal Expressions and A Recurrence Relation for the Apostol--Bernoulli Polynomials
- Asymptotic expansions for certain mathematical constants and special functions
- On Ramanujan's inverse digamma approximation
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