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An Introduction to Hypergeometric Functions / by Daniel Duverney.
Springer Nature - Springer Mathematics and Statistics eBooks 2024 English International Available online
View online- Format:
- Book
- Author/Creator:
- Duverney, Daniel.
- Series:
- Mathematics and Statistics Series
- Language:
- English
- Subjects (All):
- Functions, Special.
- Special Functions.
- Local Subjects:
- Special Functions.
- Physical Description:
- 1 online resource (373 pages)
- Edition:
- 1st ed. 2024.
- Place of Publication:
- Cham : Springer International Publishing : Imprint: Birkhäuser, 2024.
- Summary:
- 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.
- Contents:
- - 1. Eulerian Functions
- 2. Polygamma Functions
- 3. Hypergeometric Functions
- 4. Gauss Hypergeometric Function
- 5. Elliptic Integrals
- 6. Kummer Hypergeometric Function
- 7. Bessel Functions
- 8. Polylogarithm Function
- 9. Classical Orthogonal Polynomials
- 10. q-Hypergeometric Functions.
- Notes:
- Description based on publisher supplied metadata and other sources.
- ISBN:
- 3-031-65144-8
- OCLC:
- 1457669689
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