Analytical Simplification of Incomplete Elliptic Integrals of the First Kind: Continued Fraction Modeling via Symmetric Substitution and Padé Approximants | Synapse
March 17, 2026Open Access
Analytical Simplification of Incomplete Elliptic Integrals of the First Kind: Continued Fraction Modeling via Symmetric Substitution and Padé Approximants
Key Points
The aim is to simplify incomplete elliptic integrals of the first kind using advanced mathematical techniques.
Utilized continued fraction modeling
Applied symmetric substitution for simplification
Employed Padé approximants for better accuracy
Significant reduction in computational complexity
Improved precision in integral approximations
Enhanced modeling capabilities for elliptic functions
Abstract
Analytical Simplification of Incomplete Elliptic Integrals of the First Kind: Continued Fraction Modeling via Symmetric Substitution and Padé Approximants.