Special Functions Library Purpose Provides comprehensive capabilities for special functions evaluation, manipulation, and analysis. Capabilities - Bessel, hypergeometric, elliptic functions - Orthogonal polynomials (Legendre, Chebyshev, Hermite) - Gamma, beta, zeta functions - Asymptotic expansions - Connection formulas and identities Usage Guidelines 1. Function Selection : Choose appropriate function definitions 2. Numerical Evaluation : Use high-precision arithmetic when needed 3. Identities : Apply transformation and connection formulas 4. Asymptotics : Use asymptotic expansions for large…