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Double integrals and infinite products for some classical constants via analytic continuations of Lerch's transcendent

, and . (2005)cite arxiv:math/0506319Comment: 21 pages, to appear in The Ramanujan Journal. Added Corollary 3.3, Lemma 3.1, Equations (5) and (33), all or part of Examples 3.5, 3.6, 3.7, 3.9, 3.11, 3.14, 5.12, and references 1, 16, 17, 18. Omitted the old 4. Modified Equation (49), Theorem 5.3, and Examples 3.25 and 3.26. Expanded the Abstract and Introduction. Rearranged Sections 2 and 3.
DOI: 10.1007/s11139-007-9102-0

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