An Introduction to Hypergeometric Functions
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Beschreibung
This textbook provides an elementary introduction to hypergeometric functions, which generalize the usual elementary functions. It includes plenty of solved exercises and it is appropriate for a wide audience, starting from undergraduate students in mathematics, physics and engineering. Since the presented functions are limited to hypergeometric functions of a real variable, the only prerequisites are the basics of real analysis.
This textbook provides an elementary introduction to hypergeometric functions, which generalize the usual elementary functions. It includes plenty of solved exercises and it is appropriate for a wide audience, starting from undergraduate students in mathematics, physics and engineering. Since the presented functions are limited to hypergeometric functions of a real variable, the only prerequisites are the basics of real analysis.
Presents an elementary introduction to higher mathematical functions Includes many solved exercises Contains a chapter on the polylogarithm function with application to the BBP formulas
Autor*in
Daniel Duverney
Themen in »An Introduction to Hypergeometric Functions«
Gamma Function Polygamma Function Hypergeometric Functions Gauss Hypergeometric Function Confluent Hypergeometric Function Elliptic Integrals Hypergeometric Equation Bessel Functions Bessel Equation Polylogarithm Function BBP Formulas Orthogonal Polynomials q-Hypergeometric Functions Jacobi Elliptic Functions
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“This textbook is a valuable resource for students and researchers looking to grasp the theory and applications of hypergeometric series, offering both deep theoretical insights and practical tools for further exploration in the field.” (Roberto S. Costas-Santos, zbMATH 1558.33001, 2025)
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