An Introduction to Hypergeometric Functions

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Sprache: Englisch

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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.

Über den Autor

Daniel Duverney. Born in 1955, Dr. Duverney has taught in highschools and in higher schools for engineering and science preparatory classes. He got his PhD and Habilitation Thesis in the University of Lille. He has written more than 40 research papers (alone or in collaboration with Japanese mathematicians). He has also written three books in French: The first one is an introduction to Number Theory (also translated into Japanese and English), the second (written in collaboration with four colleagues) deals with the mathematical curriculum of the first year of the preparatory classes, and the third book consists in an elementary presentation of hypergeometric functions. All three books include a great number of solved exercises.

Inhaltsverzeichnis

- 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.

Erscheinungsjahr:	2024
Fachbereich:	Analysis
Genre:	Mathematik , Medizin , Naturwissenschaften , Technik
Rubrik:	Naturwissenschaften & Technik
Medium:	Buch
Inhalt:	xiii 368 S. 3 s/w Illustr. 1 farbige Illustr. 368 p. 4 illus. 1 illus. in color.
ISBN-13:	9783031651434
ISBN-10:	303165143X
Sprache:	Englisch
Einband:	Gebunden
Autor:	Duverney, Daniel
Hersteller:	Birkhäuser Springer International Publishing Springer International Publishing AG
Verantwortliche Person für die EU:	Springer Verlag GmbH, Tiergartenstr. 17, D-69121 Heidelberg, juergen.hartmann@springer.com
Maße:	241 x 160 x 27 mm
Von/Mit:	Daniel Duverney
Erscheinungsdatum:	04.09.2024
Gewicht:	0,74 kg