scientific article; zbMATH DE number 1388869
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Publication:4933758
zbMath1039.11001MaRDI QIDQ4933758
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Publication date: 17 January 2000
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normalitytranscendenceirrationalityapproximability by rationalsearly history of \(\pi\)formulae involving \(\pi\)
Number-theoretic algorithms; complexity (11Y16) History of number theory (11-03) Software, source code, etc. for problems pertaining to number theory (11-04) General histories, source books (01A05) Collections of reprinted articles (00B60) General reference works (handbooks, dictionaries, bibliographies, etc.) pertaining to number theory (11-00)
Related Items (11)
The empirical quest for \(\pi \) ⋮ Inequalities and asymptotic expansions associated with the Wallis sequence ⋮ Sharp inequalities and asymptotic expansion associated with the Wallis sequence ⋮ Series representations of the remainders in the expansions for certain functions with applications ⋮ Some properties of the remainders in certain series representations for the constant \(\pi\) ⋮ Asymptotic expansions for the Wallis sequence and some new mathematical constants associated with the Glaisher-Kinkelin and Choi-Srivastava constants ⋮ Inequalities, asymptotic expansions and completely monotonic functions related to the gamma function ⋮ On the asymptotic expansions of products related to the Wallis, Weierstrass, and Wilf formulas ⋮ Fractal Analysis of Pi Normality ⋮ Accelerating Dougall’s $_5F_4$-sum and infinite series involving $\pi $ ⋮ A new class of infinite products generalizing Viète's product formula for \(\pi\)
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