Imagen de Portada

Perimeter of an Ellipse: Understanding Ramanujan's Approximation

Fuente: arXiv

Guardado en:

Detalles Bibliográficos
Autor principal:	Shankar, Uday
Formato:	Preprint
Publicado:	2026
Materias:	General Mathematics 65D30 (Primary), 65B10, 41A20, 33E05 (Secondary)
Acceso en línea:	Acceder al recurso
Etiquetas:	Agregar Etiqueta Sin Etiquetas, Sea el primero en etiquetar este registro!

Ejemplares similares

Lightning Plus Polynomial Approximation: Optimal Root-Exponential Convergence for Singular Functions in Corner Domains
por: Xiang, Shuhuang, et al.
Publicado: (2026)

Computing the unitary best approximant to the exponential function
por: Jawecki, Tobias
Publicado: (2025)

$\,_{3}F_{4}$ hypergeometric functions as a sum of a product of $\,_{2}F_{3}$ functions
por: Straton, Jack C.
Publicado: (2024)

On the best convergence rates of lightning plus polynomial approximations
por: Xiang, Shuhuang, et al.
Publicado: (2023)

The root-exponential convergence of lightning plus polynomial approximation on corner domains
por: Xiang, Shuhuang, et al.
Publicado: (2024)

Summed series involving \,_{1}F_{2} hypergeometric functions
por: Straton, Jack C.
Publicado: (2024)

The Fourier-Legendre series of Bessel functions of the first kind and the summed series involving $\,_{2}F_{3}$ hypergeometric functions that arise from them
por: Straton, Jack C.
Publicado: (2023)

A Rational Approximant for the Digamma Function
por: Weniger, Ernst Joachim
Publicado: (2003)

On the cardinality of lower sets and universal discretization
por: Dai, F., et al.
Publicado: (2022)

Generalized Lucas Theorem
por: Hirsh, Jordan
Publicado: (2025)

A simple universal algorithm for high-dimensional integration
por: Goda, Takashi, et al.
Publicado: (2024)

Quadrature by Two Expansions: Evaluating Laplace Layer Potentials using Complex Polynomial and Plane Wave Expansions
por: Ding, Lingyun, et al.
Publicado: (2019)

Randomized sketching of nonlinear eigenvalue problems
por: Güttel, Stefan, et al.
Publicado: (2022)

An Algebra of Elliptic Commuting Variables and an Elliptic Extension of the Multinomial Theorem
por: Schlosser, Michael J.
Publicado: (2023)

A Bivariate Spline Construction of Orthonormal Polynomials over Polygonal Domains and Its Applications to Quadrature
por: Lai, Ming-Jun
Publicado: (2026)

Applications of QR-based Vector-Valued Rational Approximation
por: Dirckx, Simon
Publicado: (2026)

Irregular Input Data in Convergence Acceleration and Summation Processes: General Considerations and Some Special Gaussian Hypergeometric Series as Model Problems
por: Weniger, Ernst Joachim
Publicado: (2000)

Nonlinear sequence transformations for the acceleration of convergence and the summation of divergent series
por: Weniger, Ernst Joachim
Publicado: (2003)

Neural network-based singularity detection and applications
por: Derevianko, Nadiia, et al.
Publicado: (2025)

On an identity of Chaundy and Bullard. III. Basic and elliptic extensions
por: Hoshi, Natsuko, et al.
Publicado: (2023)

Computation of Zolotarev rational functions
por: Trefethen, Lloyd N., et al.
Publicado: (2024)

Bounds for the sampling discretization error and their applications to the universal sampling discretization
por: Kosov, E. D., et al.
Publicado: (2023)

A Generalization of the Fox H-function
por: Vaz, Jayme
Publicado: (2025)

Explicit formulae for generalized Stirling and Eulerian numbers
por: Küstner, Josef
Publicado: (2024)

Exact convergence rates of lightning plus polynomial approximation for branch singularities with uniform exponentially clustered poles
por: Xiang, Shuhuang, et al.
Publicado: (2025)

Gaussian mixture Taylor approximations of risk measures constrained by PDEs with Gaussian random field inputs
por: Luo, Dingcheng, et al.
Publicado: (2024)

Numerical Computation of \prod_{n=1}^\infty (1 - tx^n)
por: Sokal, Alan D.
Publicado: (2002)

Uniform enclosures for the phase and zeros of Bessel functions and their derivatives
por: Filonov, Nikolay, et al.
Publicado: (2024)

Deformed Newton's $(s,t)$-Binomial Series and Generating Functions of Generalized Central Binomial Coefficients and Generalized Catalan Numbers
por: López, Ronald Orozco
Publicado: (2023)

What do sin$(x)$ and arcsinh$(x)$ have in Common?
por: Finch, Steven
Publicado: (2024)

Scaling Optimized Spectral Approximations on Unbounded Domains: The Generalized Hermite and Laguerre Methods
por: Hu, Hao, et al.
Publicado: (2026)

Unconditional full linear convergence and quasi-optimal complexity of smoothed adaptive finite element methods
por: Bringmann, Philipp, et al.
Publicado: (2026)

Compactness and Symmetric Well Orders
por: Dasgupta, Abhijit
Publicado: (2022)

Hard thresholding hyperinterpolation over general regions
por: An, Congpei, et al.
Publicado: (2022)

Optimal quadrature for weighted function spaces on multivariate domains
por: Li, Jiansong, et al.
Publicado: (2024)

Convergence and Near-optimal Sampling for Multivariate Function Approximations in Irregular Domains via Vandermonde with Arnoldi
por: Zhu, Wenqi, et al.
Publicado: (2023)

Elliptic Clausen Functions and Degenerations Circular, Elliptic, and Hyperbolic Parallelism
por: Nagai, Ken
Publicado: (2026)

A Recursion Backbone for Circular and Elliptic Clausen Hierarchies
por: Nagai, Ken
Publicado: (2026)

Approximation by quadrilateral finite elements
por: Arnold, Douglas N., et al.
Publicado: (2000)

A Continuous-Order Integral Operator for Maclaurin-type Reconstruction
por: Braun, Derek C.
Publicado: (2025)