# Table of Integrals, Series, and Products

@article{Gradshteyn1943TableOI, title={Table of Integrals, Series, and Products}, author={I. S. Gradshteyn and I. M. Ryzhik and Donald F. Hays}, journal={Journal of Lubrication Technology}, year={1943}, volume={98}, pages={479-479} }

Introduction. Elementary Functions. Indefinite Integrals of Elementary Functions. Definite Integrals of Elementary Functions. Indefinite Integrals of Special Functions. Definite Integrals of Special Functions. Special Functions. Vector Field Theory. Algebraic Inequalities. Integral Inequalities. Matrices and Related Results. Determinants. Norms. Ordinary Differential Equations. Fourier, Laplace, and Mellin Transforms. Bibliographic References. Classified Supplementary References.

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We derive several partial fractions expansions for products of Bessel functions, and use them to prove algebraic relationships between infinite series involving squares of Bessel functions. We also… Expand

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