Gradshteyn, I. S.; Ryzhik, I. M. Zwillinger, Daniel (ed.); Moll, Victor (ed.) Table of integrals, series, and products. Translated from the Russian. Translation edited and with a preface by Victor Moll and Daniel Zwillinger. 8th updated and revised ed. (English) Zbl 1300.65001 Amsterdam: Elsevier/Academic Press (ISBN 978-0-12-384933-5/hbk; 978-0-12-384934-2/ebook). xlv, 1133 p. (2015). Publisher’s description: The eighth edition of the classic Gradshteyn and Ryzhik is an updated completely revised edition of what is acknowledged universally by mathematical and applied science users as the key reference work concerning the integrals and special functions. The book is valued by users of previous editions of the work both for its comprehensive coverage of integrals and special functions, and also for its accuracy and valuable updates. Since the first edition, published in 1965, the mathematical content of this book has significantly increased due to the addition of new material, though the size of the book has remained almost unchanged. The new 8th edition contains entirely new results and amendments to the auxiliary conditions that accompany integrals and wherever possible most entries contain valuable references to their source.See the review of the 6th edition in [Zbl 0981.65001]. For other editions see [Zbl 1208.65001; Zbl 0918.65001; Zbl 0918.65002; Zbl 0521.33001]. Cited in 170 Documents MathOverflow Questions: Sum over Bessel functions: what is \(\sum_{n=1}^\infty J_n(u)J_n(v)\sin(n\alpha)\)? MSC: 65-00 General reference works (handbooks, dictionaries, bibliographies, etc.) pertaining to numerical analysis 65A05 Tables in numerical analysis 00A22 Formularies 33-00 General reference works (handbooks, dictionaries, bibliographies, etc.) pertaining to special functions 40-00 General reference works (handbooks, dictionaries, bibliographies, etc.) pertaining to sequences, series, summability Citations:Zbl 0981.65001; Zbl 1208.65001; Zbl 0918.65001; Zbl 0918.65002; Zbl 0521.33001 PDFBibTeX XMLCite \textit{I. S. Gradshteyn} et al., Table of integrals, series, and products. Translated from the Russian. Translation edited and with a preface by Victor Moll and Daniel Zwillinger. 8th updated and revised ed. Amsterdam: Elsevier/Academic Press (2015; Zbl 1300.65001) Full Text: Link