4.2 Article

Power expansions of powers of trigonometric functions andseries containing Bernoulli and Euler polynomials

Journal

INTEGRAL TRANSFORMS AND SPECIAL FUNCTIONS
Volume 20, Issue 11, Pages 797-804

Publisher

TAYLOR & FRANCIS LTD
DOI: 10.1080/10652460902867718

Keywords

trigonometric functions; differentiation; power series; Bernoulli polynomials; Bernoulli numbers; Euler polynomials; Euler numbers; hypergeometric functions; special functions; summation

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Differentiation formulas and power expansions are derived for sinn z, cosn z, tann z and cotn z. Summation formulas containing Bernoulli and Euler polynomials and numbers are obtained.

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