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An Introduction to Hypergeometric Functions [electronic resource] / by Daniel Duverney.

By: Contributor(s): Material type: TextPublisher: Cham : Springer International Publishing : Imprint: Birkhäuser, 2024Edition: 1st ed. 2024Description: XIII, 368 p. 4 illus., 1 illus. in color. online resourceContent type:
  • text
Media type:
  • computer
Carrier type:
  • online resource
ISBN:
  • 9783031651441
Subject(s):
Additional physical formats: Printed edition:: No title; Printed edition:: No title; Printed edition:: No titleLOC classification:
  • QA351
Online resources:
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.
In: Springer Nature eBookSummary: 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.
Item type: List(s) this item appears in: Titluri cărți electronice Springer Nature 2025 (10631 titluri)
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- 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.

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.

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