Integer Powers of Arcsin | Zendy

Jonathan M. Borwein | Zendy; Marc Chamberland | Zendy

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Integer Powers of Arcsin

Author(s) -

Jonathan M. Borwein,

Marc Chamberland

Publication year - 2007

Publication title -

international journal of mathematics and mathematical sciences

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.21

H-Index - 39

eISSN - 1687-0425

pISSN - 0161-1712

DOI - 10.1155/2007/19381

Subject(s) - mathematics , ramanujan's sum , generalization , inverse trigonometric functions , integer (computer science) , simple (philosophy) , binomial coefficient , trigonometric functions , function (biology) , binomial (polynomial) , pure mathematics , discrete mathematics , combinatorics , mathematical analysis , statistics , geometry , computer science , programming language , philosophy , epistemology , evolutionary biology , biology

New simple nested-sum representations for powers of the arcsin function are given. This generalization of Ramanujan's work makes connections to finite binomialsums and polylogarithms

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