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An introduction to hypergeometric functions

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
正題名/作者:	An introduction to hypergeometric functions/ by Daniel Duverney.
作者:	Duverney, Daniel.
出版者:	Cham :Springer International Publishing : : 2024.,
面頁冊數:	xiii, 368 p. :ill. (some col.), digital ; : 24 cm.;
Contained By:	Springer Nature eBook
標題:	Special Functions. -
電子資源:	https://doi.org/10.1007/978-3-031-65144-1
ISBN:	9783031651441

An introduction to hypergeometric functions
Duverney, Daniel.

An introduction to hypergeometric functions[electronic resource] /by Daniel Duverney. - Cham :Springer International Publishing :2024. - xiii, 368 p. :ill. (some col.), digital ;24 cm.

- 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.

ISBN: 9783031651441

Standard No.: 10.1007/978-3-031-65144-1doiSubjects--Topical Terms:

672152
Special Functions.

LC Class. No.: QA353.H9

Dewey Class. No.: 515.55

An introduction to hypergeometric functions
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520 $a 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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