Twenty-two Infinite Sums Involving the Sine and Cosine Functions

Melham, R

Twenty-two Infinite Sums Involving the Sine and Cosine Functions

Melham, R

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Publisher:: Taylor and Francis
Publication Type:: Journal Article
Citation:: International journal of Mathematical Education in Science and Technology, 1999, 30 (4), pp. 595 - 602
Issue Date:: 1999-01

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Field	Value	Language
dc.contributor.author	Melham, R	en_US
dc.date.issued	1999-01	en_US
dc.identifier.citation	International journal of Mathematical Education in Science and Technology, 1999, 30 (4), pp. 595 - 602	en_US
dc.identifier.issn	0020-739X	en_US
dc.identifier.uri	http://hdl.handle.net/10453/18762
dc.description.abstract	Five finite sums derived from the Chebyshev polynomials of the first and second kinds are given. These finite sums, which are shown to satisfy third order linear recurrence relations, are used to derive 22 infinite sums which involve the sine and cosine functions.	en_US
dc.publisher	Taylor and Francis	en_US
dc.relation.ispartof	International journal of Mathematical Education in Science and Technology	en_US
dc.subject.classification	Education	en_US
dc.title	Twenty-two Infinite Sums Involving the Sine and Cosine Functions	en_US
dc.type	Journal Article
utslib.citation.volume	4	en_US
utslib.citation.volume	30	en_US
utslib.for	1302 Curriculum and Pedagogy	en_US
utslib.for	0199 Other Mathematical Sciences	en_US
pubs.embargo.period	Not known	en_US
pubs.organisational-group	/University of Technology Sydney
pubs.organisational-group	/University of Technology Sydney/Faculty of Science
utslib.copyright.status	closed_access
pubs.consider-herdc	false	en_US
pubs.issue	4	en_US
pubs.volume	30	en_US

Abstract:

Five finite sums derived from the Chebyshev polynomials of the first and second kinds are given. These finite sums, which are shown to satisfy third order linear recurrence relations, are used to derive 22 infinite sums which involve the sine and cosine functions.

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http://hdl.handle.net/10453/18762