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Titlebook: Ramanujan‘s Lost Notebook; Part IV George E. Andrews,Bruce C. Berndt Book 2013 Springer Science+Business Media New York 2013 Bessel Functio

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,Two Partial Manuscripts on Euler’s Constant ,,Two partial manuscripts devoted to Euler’s constant are examined.
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Number Theory,Diverse entries in number theory from the lost notebook are discussed. We observe that Ramanujan discovered Dickman’s function approximately ten years before Dickman published it. An intriguing formula for .and an ingenious device for solving Euler’s Diophantine equation are highlights.
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Functional Equations for Products of Mellin Transforms,Ramanujan examines functional equations for Mellin transforms.
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,A Preliminary Version of Ramanujan’s Paper “On the Product (prodlimits _{n=0}^{infty }left [1 +{ leThis chapter is evidently a preliminary version of Ramanujan’s paper on certain infinite products.
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,A Preliminary Version of Ramanujan’s Paper “On the Integral ,”,This chapter is a preliminary version of Ramanujan’s paper on the inverse tangent integral.
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,A Partial Manuscript Connected with Ramanujan’s Paper “Some Definite Integrals”,This chapter is related to an early paper of Ramanujan on definite integrals.
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