An Introduction to Hypergeometric Functions [electronic resource] /
Duverney, Daniel.
An Introduction to Hypergeometric Functions [electronic resource] / by Daniel Duverney. - 1st ed. 2024. - XIII, 368 p. 4 illus., 1 illus. in color. online resource.
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.
9783031651441
10.1007/978-3-031-65144-1 doi
QA351
An Introduction to Hypergeometric Functions [electronic resource] / by Daniel Duverney. - 1st ed. 2024. - XIII, 368 p. 4 illus., 1 illus. in color. online resource.
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.
9783031651441
10.1007/978-3-031-65144-1 doi
QA351