Bailey. 'Ramanujan, Modular Equations, and Approximations to Pi or How to Compute One Billion Digits of Pi'. Amer. Math. Monthly (96)(1989), 201-219Bailey, D. (1995). Ramanujan, Modular Equations, and Approximations to Pi or How to compute One Billion Digits of Pi . Retrieved May 31...
Bailey, Ramanujan, modular equations, and approximations to pi or how to compute one billion digits of pi. Am. Math. Mon. 96, 201–219 (1989) Article MathSciNet MATH Google Scholar J.M. Borwein, P.B. Borwein, F.G. Garvan, Hypergeometric analogues of the arithmetic-geometric mean ...
Ramanujan, modular equations, and approximations to pi or how to compute one billion digits of pi. Am. Math. Mon. 96, 201–219 (1989). Article MathSciNet Google Scholar Pilehrood, K. H. & Pilehrood, T. H. Series acceleration formulas for beta values. Discret. Math. Theor. Comput....
In this section, we study the asymptotics of Nahm sumsf_Q (q)at roots of unity. We think off_Q (q)as a function on the upper half-plane by settingq^\lambda = e^{2 \pi i \tau \lambda }for any\lambda \in \mathbb {Q}and\tau \in \mathbb {C}with\Im \tau >0. We will c...
This formula gives rise to one of the most wonderful equations in mathematics. Who started pure mathematics? How do you do Vedic math addition? How did Diophantus shape the world of mathematics? What did David Hilbert invent? Who invented Vedic math? What is a Leibniz calculator? Who created...
Modular equations an approximations to π 0 被引用 · 0 笔记 引用 Rational functions certify combinatorial identities Herbert S. WilfDoron Zeilberger Journal of the American Mathematical Society Jan 1990 阅读PDF CAS-1 JCR-Q1 SCIE 153 被引用 · 0 笔记 引用 Closed-Form 0 被引用 · 0 笔记...
In the article, we establish some monotonicity and convexity (concavity) properties for certain combinations of polynomials and the Ramanujan R -function by use of the monotone form of L’Hôpital’s rule and present serval new asymptotically sharp bou
Ramanujan, modular equations, and approximations to Pi or how to compute one billion digits of Pi American Mathematical MonthlyJ. M. Borwein, P. B. Borwein, and D. H. Bailey, Ramanujan, modular equations, and approxima- tions to pi or how to ... Jonathan Michael Borwein,Peter B Borwein...
volume-integrated partial differential equations for primary or derived physical quantities of interest. Balances can be applied to the full computational domain or to any subdomain down to the single-cell level. Applications to in-cylinder flows in reciprocating engines are used for illustration. It...
(posted to Convergence on April 14), a review of the new edition, now by Simmons and Krantz, of George Simmons' classic text on differential equations (posted to MAA Reviews on April 5), and a classroom capsule on how a chain letter is like a branching stochas- tic process (posted on...