Special Integrals of Gradshteyn and Ryzhik

1. Auflage 2015
ISBN: 978-1-4822-5653-6
Verlag: Chapman and Hall/CRC

Buch, Englisch, 275 Seiten, Format (B × H): 159 mm x 238 mm, Gewicht: 526 g

A Guide to the Evaluation of Integrals

Special Integrals of Gradshetyn and Ryzhik: the Proofs provides self-contained proofs of a variety of entries in the frequently used table of integrals by I.S. Gradshteyn and I.M. Ryzhik. The book gives the most elementary arguments possible and uses Mathematica® to verify the formulas. You will discover the beauty, patterns, and unexpected connections behind the formulas.

Volume II collects 14 papers from Revista Scientia covering elliptic integrals, the Riemann zeta function, the error function, hypergeometric and hyperbolic functions, Bessel-K functions, logarithms and rational functions, polylogarithm functions, the exponential integral, and Whittaker functions. Many entries have a variety of proofs that can be evaluated using a symbolic language or point to the development of a new algorithm.

Zielgruppe

Professional Practice & Development

Autoren/Hrsg.

Moll, Victor H.

Fachgebiete

• Mathematik | Informatik Mathematik Numerik und Wissenschaftliches Rechnen Angewandte Mathematik, Mathematische Modelle
• Mathematik | Informatik Mathematik Algebra Zahlentheorie

Inhaltsverzeichnis

Complete elliptic integrals. The Riemann zeta function. Some automatic proofs. The error function. Hypergeometric functions. Hyperbolic functions. Bessel-K functions. Combination of logarithms and rational functions. Polylogarithm functions. Evaluation by series. The exponential integral. More logarithmic integrals. Confluent hypergeometric and Whittaker functions. Evaluation of entries in Gradshteyn and Ryzhik employing the method of brackets. The list of integrals. References.

Über Autor(innen)

Victor H. Moll is a professor in the Department of Mathematics at Tulane University. His research interests include special functions, number theory, and symbolic computation.