Special Integrals of Gradshteyn and Ryzhik

the Proofs - Volume II

Victor H. Moll

$131

Paperback

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English

Chapman & Hall/CRC
05 September 2019

Integral calculus & equations

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.

By: Victor H. Moll
Imprint: Chapman & Hall/CRC
Country of Publication: United Kingdom
Dimensions: Height: 234mm, Width: 156mm,
Weight: 453g
ISBN: 9780367377274
ISBN 10: 0367377276
Pages: 263
Publication Date: 05 September 2019
Audience: College/higher education , Professional and scholarly , Primary , Undergraduate
Format: Paperback
Publisher's Status: Active

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.

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.

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Special Integrals of Gradshteyn and Ryzhik

the Proofs - Volume II

Victor H. Moll

$131

Paperback

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