Euler numbers, Padé approximants and Catalan's constant
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Publication:850527
DOI10.1007/s11139-006-6507-0zbMath1152.11337OpenAlexW2355000013MaRDI QIDQ850527
Publication date: 3 November 2006
Published in: The Ramanujan Journal (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s11139-006-6507-0
Transcendence theory of other special functions (11J91) Padé approximation (41A21) Continued fractions and generalizations (11J70) Generalized hypergeometric series, ({}_pF_q) (33C20)
Related Items
Application of Padé approximation to Euler's constant and Stirling's formula, On Catalan's constant, Irrationality of some \(p\)-adic \(L\)-values, A determinantal approach to irrationality, Diagonal convergence of the remainder Padé approximants for the Hurwitz zeta function, Diophantine properties for 𝑞-analogues of Dirichlet’s beta function at positive integers, Remainder Padé approximants for hypergeometric series
Cites Work
- Bernoulli and Euler numbers and orthogonal polynomials
- A proof that Euler missed. Apéry's proof of the irrationality of \(\zeta(3)\). An informal report
- A few remarks on \(\zeta (3)\)
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- Polynômes orthogonaux formels - applications
- An Apéry-like difference equation for Catalan's constant
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- A Note on the Irrationality of ζ(2) and ζ(3)
- Some Hypergeometric Orthogonal Polynomials
- La fonction zêta de Riemann prend une infinité de valeurs irrationnelles aux entiers impairs
- Irrationalité d'au moins un des neuf nombres ζ(5), ζ(7),...,ζ(21)
- Irrationality of infinitely many values of the zeta function at odd integers.
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