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Divergent series / by G.H. Hardy.


Oxford : Clarendon Press, 1949.
ISBN 0198533098, 9780198533092

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Subjects Analyse mathématique.
Divergent series.
Divergente Reihe.
Mathématiques.
Description xvi, 396 pages ; 24 cm
Copyright Date 1949.
Notes Includes bibliographical references and index.
Contents Introduction -- Some historical examples -- General theorems -- Special methods of summation -- Arithmetic means (1) -- Arithmetic means (2) -- Tauberian theorems for power series -- The methods of Euler and Borel (1) -- The methods of Euler and Borel (2) -- Multiplication of series -- Hausdorff means -- Wiener's Tauberian theorems -- The Euler-Maclaurin sum formula -- App. I. On the evaluation of certain definite integrals by means of divergent series -- App. II. The Fourier kernels of certain methods of summation -- App. III. On Riemann and Abel summability -- App. IV. On Lambert and Ingham summability -- App. V. Two theorems of M.L. Cartwright.
Genre Divergent series.
Divergent series.
Network Numbers (OCoLC)808787
(OCoLC)ocm00808787
WorldCat Search OCLC WorldCat
WorldCat Identities Hardy, G. H. 1877-1947.
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