mathematics, the Chebyshev function is either a scalarising function (Tchebycheff function) or one of two related functions. The first Chebyshev function ϑ  (x)...

The Chebyshev polynomials are two sequences of polynomials related to the cosine and sine functions, notated as T n ( x ) {\displaystyle T_{n}(x)} and...

Chebyshev filters are analog or digital filters that have a steeper roll-off than Butterworth filters, and have either passband ripple (type I) or stopband...

\zeta (s)=s\int _{0}^{\infty }\Pi _{0}(x)x^{-s-1}\,\mathrm {d} x} The Chebyshev function weights primes or prime powers pn by log(p): θ ( x ) = ∑ p ≤ x log...

mathematics, the Chebyshev rational functions are a sequence of functions which are both rational and orthogonal. They are named after Pafnuty Chebyshev. A rational...

converges for Re(s) > σ0. The second Chebyshev function ψ(x) is the summatory function of the von Mangoldt function: ψ ( x ) = ∑ p k ≤ x log ⁡ p = ∑ n ≤...

ψ ( n ) {\displaystyle \psi (n)} the Chebyshev function ψ ( x ) {\displaystyle \psi (x)} the polygamma function ψ m ( z ) {\displaystyle \psi ^{m}(z)}...

The Chebyshev nodes of the first kind, also called the Chebyshev zeros, are the zeros of the Chebyshev polynomials of the first kind. The Chebyshev nodes...

1093/IMANUM/12.4.519. Werner, Helmut; Collinge, Robert (1961). "Chebyshev approximations to the Gamma Function". Math. Comput. 15 (74): 195–197. doi:10.1090/S0025-5718-61-99220-1...

In probability theory, Chebyshev's inequality (also called the Bienaymé–Chebyshev inequality) provides an upper bound on the probability of deviation of...