Special Integrals of Gradshteyn and Ryzhik the Proofs - Volume II
Auteur : Moll Victor H.
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.
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.
Date de parution : 09-2019
15.6x23.4 cm
Date de parution : 10-2015
15.6x23.4 cm
Thèmes de Special Integrals of Gradshteyn and Ryzhik :
Mots-clés :
Lnx Dx; Riemann Zeta Function; lnx; X2 Dx; partial; Sinh Ax; fraction; Cos 2pia; decomposition; Bx Dx; hypergeometric; Bracket Series; function; K2 Sin2; riemann; Definite Integrals; zeta; Pi 2b; mellin; Dx Β2; transform; Dw; Catalan’s Constant; Hypergeometric Representation; Mellin Transform; Cosh Bx; Ax Dx; Lnx Ln; K2 Cos2; Dx Xn; Binomial Theorem; Exponential Generating Function; Ln Tan; Hyperbolic Functions; Delta Part