Exploring A Cool Identity With The Digamma Function
Exploring A Cool Identity With The Digamma Function reveals several interesting facts.
- SS-564 Prove that sum_(k = 2 to ∞) (-1)^k(ζ(k) - 1)(3/2)^k = 31/10 -3 ln 2 #sequences_and_series #riemannzetafunction ...
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In-Depth Information on A Cool Identity With The Digamma Function
Sum from n = 0 to infinity of (-1)^n/(a+bn) using the Laplace transform of hyperbolic tangent of t! Using laplace transforms, infinite series, the Mis-4558 Γ^(3) (1) = ϒ^3 - 3 ϒ ζ(2) - 2ζ(3) #calculus #gammafunction #riemannzetafunction #euler #mascheroni #constant ... SS-565 Prove that sum_(k = 2 to ∞) (ζ(k) - 1)(3/2)^k =3/2 + 3ln 2 #sequences_and_series #riemannzetafunction #
The proof at the end is from: ...
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