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complex sine and cosine
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(Definition)
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"complex sine and cosine" is owned by pahio.
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See Also: Euler relation, cyclometric functions, example of Taylor polynomials for  , complex exponential function, definitions in trigonometry, persistence of analytic relations, cosine at multiples of straight angle, Heaviside formula, some values characterising i, uniqueness of Fourier expansion
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complex sine, complex cosine, sine, cosine, goniometric formula |
This object's parent.
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Cross-references: derivatives, general power, square root, complex logarithm, multivalued, cyclometric functions, inverse functions, periodicity, periodic, functions, real axis, line, infinity, modulus, imply, persistence of analytic relations, addition formulae, consequences, Euler's, Euler's formulas, degrees, odd, even, separating, complex exponential functions, even function, odd function, entire transcendental functions, entire functions, complex plane, holomorphic functions, power series, Abel, radii, real, converge, series, complex
There are 19 references to this entry.
This is version 27 of complex sine and cosine, born on 2004-10-21, modified 2008-10-31.
Object id is 6398, canonical name is ComplexSineAndCosine.
Accessed 47898 times total.
Classification:
| AMS MSC: | 30A99 (Functions of a complex variable :: General properties :: Miscellaneous) | | | 30B10 (Functions of a complex variable :: Series expansions :: Power series ) | | | 30D10 (Functions of a complex variable :: Entire and meromorphic functions, and related topics :: Representations of entire functions by series and integrals) | | | 33B10 (Special functions :: Elementary classical functions :: Exponential and trigonometric functions) |
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Pending Errata and Addenda
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