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Special Integrals of Gradshteyn and Ryzhik: the Proofs - Volume II de Victor H. Moll

Special Integrals of Gradshteyn and Ryzhik: the Proofs - Volume II

Autor Victor H. Moll
en Limba Engleză Paperback – 5 sep 2019
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.
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Specificații

ISBN-13: 9780367377274
ISBN-10: 0367377276
Pagini: 275
Dimensiuni: 156 x 234 x 15 mm
Greutate: 0.45 kg
Ediția:1
Editura: CRC Press
Colecția Chapman and Hall/CRC

Public țintă

Professional Practice & Development

Cuprins

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.

Notă biografică

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.

Descriere

This volume provides self-contained proofs of a variety of entries in the frequently used table of integrals by I.S. Gradshteyn and I.M. Ryzhik. It 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. The book gives the most elementary arguments possible and uses Mathematica® to verify the formulas.