_{k=2}^{\infty }\zeta (k)x^{k-1}=-\psi _{0}(1-x)-\gamma } where ψ0 is the digamma function. ∑ k = 2 ∞ ( ζ ( k ) − 1 ) = 1 ∑ k = 1 ∞ ( ζ ( 2 k ) − 1 ) = 3...
24 KB (3,578 words) - 04:31, 14 September 2024
the digamma function. Gamma function Pseudogamma function Hadamard, M. J. (1894), Sur L'Expression Du Produit 1·2·3· · · · ·(n−1) Par Une Fonction Entière...
3 KB (414 words) - 19:42, 13 October 2024
ii.) This system appeared in the third century BC, before the letters digamma (Ϝ), koppa (Ϟ), and sampi (Ϡ) became obsolete. When lowercase letters became...
99 KB (11,512 words) - 04:54, 10 October 2024
factorial, omitting the factors in the factorial that are divisible by p. The digamma function is the logarithmic derivative of the gamma function. Just as the...
70 KB (8,433 words) - 05:05, 10 October 2024
^{n-1}(z)}{(n-1)!}}\right\},} where ψ ( n ) {\displaystyle \psi (n)} is the digamma function. A Taylor series in the third variable is given by Φ ( z , s ...
16 KB (3,492 words) - 17:58, 13 October 2024