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...

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...

_{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...

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...

^{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 ...