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The fields of computational approximation and classical analysis have evolved, leaving a persistent gap in scholarly literature. B-spline functions are a cornerstone of modern numerical methods and approximation theory, prized for their local support, numerical stability, and inherent smoothness. Concurrently, special functions form the analytical foundation of physics, engineering, and applied mathematics, offering canonical solutions to differential equations that describe physical phenomena. The computational power and structural flexibility of B-splines make them an ideal basis for developing a complete computational framework for special function theory. Their local adaptability and superior approximation properties effectively capture the complex analytical behavior of special functions, including boundary layers, oscillatory behavior, and singularities in ways that traditional global polynomial approaches cannot. Advanced Approximation Techniques Using B-Spline and Special Function Frameworks demonstrates how B-spline-based numerical techniques address problems in advanced analytical domains. It translates abstract mathematical theory into concrete computation. This book covers topics such as differential equations, mathematical modeling, and special functions, and is a useful resource for mathematicians, engineers, academicians, researchers, and scientists.

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