Analytical Simplification of Incomplete Elliptic Integrals of the First Kind: Continued Fraction Modeling via Symmetric Substitution and Padé Approximants

Puntos clave

• 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