List questions from trigonometric-series

Published on 05 Mar 2021 - 8:14

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Divisibility of Chebyshev Polynomials

Published on 26 Mar 2026 - 19:05

523

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Theorem 8.14 in Rudin's "Principles of Mathematical Analysis"

Published on 15 Mar 2021 - 21:00

74

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Odd Periodic Extension to Obtain Fourier Series

Published on 25 Mar 2021 - 2:04

118

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Alternating series of powers of Cosine-squared

Published on 25 Mar 2021 - 10:56

82

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Need help integrating a trigonometric function over an interval

Published on 27 Mar 2026 - 22:51

158

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Inequality regarding L^6 norm of a trigonometric polynomial

Published on 31 Mar 2021 - 7:50

248

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If $x\cot x=a_0+a_2x^2+a_4x^4+\cdots$, then $\frac{a_{2n}}{1!}-\frac{a_{2n-1}}{3!}+\cdots+\frac{(-1)^na_0}{(2n+1)!}=\frac{(-1)^n}{(2n)!}$

Published on 01 Apr 2021 - 17:01

52

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How to estimate this trigonometric sum?

Published on 05 Apr 2021 - 15:07

75

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Expand the function $[\cos(x^3)]^\frac{-1}{2}$ into Taylor series around $x=0$ up to $O(x^6)$

Published on 19 Apr 2021 - 18:59

87

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Can't find exact value of $x = \frac{\pi}{\cot^{-1}(\frac{4\pi}{x})}$

Published on 25 Apr 2021 - 6:56

48

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Is it possible to determine for what portion of the domain, a function $f_1(x)\cdot f_2(x)\cdot f_3(x)$ is positive?

Published on 01 May 2021 - 21:35

103

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Fourier series expansion of $ \cos(\alpha \theta) $

Published on 14 May 2021 - 4:35

1k

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Rational Function approximation of tan

Published on 15 May 2021 - 21:45

31

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Summation of finite trigonometric series

Published on 17 May 2021 - 11:18

List Question

Solving a nonlinear first order ODE

Divisibility of Chebyshev Polynomials

Theorem 8.14 in Rudin's "Principles of Mathematical Analysis"

Odd Periodic Extension to Obtain Fourier Series

Alternating series of powers of Cosine-squared

Need help integrating a trigonometric function over an interval

Inequality regarding L^6 norm of a trigonometric polynomial

If $x\cot x=a_0+a_2x^2+a_4x^4+\cdots$, then $\frac{a_{2n}}{1!}-\frac{a_{2n-1}}{3!}+\cdots+\frac{(-1)^na_0}{(2n+1)!}=\frac{(-1)^n}{(2n)!}$

How to estimate this trigonometric sum?

Expand the function $[\cos(x^3)]^\frac{-1}{2}$ into Taylor series around $x=0$ up to $O(x^6)$

Can't find exact value of $x = \frac{\pi}{\cot^{-1}(\frac{4\pi}{x})}$

Is it possible to determine for what portion of the domain, a function $f_1(x)\cdot f_2(x)\cdot f_3(x)$ is positive?

Fourier series expansion of $ \cos(\alpha \theta) $

Rational Function approximation of tan

Summation of finite trigonometric series

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