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1985 | OriginalPaper | Buchkapitel

Combinatorial Analysis and Series Inversions

verfasst von : Bruce C. Berndt

Erschienen in: Ramanujan’s Notebooks

Verlag: Springer New York

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Although no combinatorial problems are mentioned in Chapter 3, much of the content of this chapter belongs under the umbrella of combinatorial analysis. Another primary theme in Chapter 3 revolves around series expansions of various types. However, the deepest and most interesting result in Chapter 3 is Entry 10, which separates the two main themes but which has some connections with the former. Entry 10 offers a highly general and potentially very useful asymptotic expansion for a large class of power series. As with Chapter 2, Ramanujan very briefly sketches the proofs of some of his findings, including Entry 10.

Metadaten
Titel
Combinatorial Analysis and Series Inversions
verfasst von
Bruce C. Berndt
Copyright-Jahr
1985
Verlag
Springer New York
DOI
https://doi.org/10.1007/978-1-4612-1088-7_4