multiplication theorem
theorem
Facts
4 properties- Instance of
- theorem
- Part of
- list of theorems[1]
- Defining formula
- \frac{d \xi}{d t} + \nabla \cdot f(\xi) = 0, \Gamma (z)\;\Gamma \left(z+{\frac {1}{2}}\right)=2^{{1-2z}}\;{\sqrt {\pi }}\;\Gamma (2z).\,\!, \Gamma (z)\;\Gamma \left(z+{\frac {1}{k}}\right)\;\Gamma \left(z+{\frac {2}{k}}\right)\cdots \Gamma \left(z+{\frac {k-1}{k}}\right)=(2\pi )^{{{\frac {k-1}{2}}}}\;k^{{1/2-kz}}\;\Gamma (kz)\,\!, k^{{m}}\psi ^{{(m-1)}}(kz)=\sum _{{n=0}}^{{k-1}}\psi ^{{(m-1)}}\left(z+{\frac {n}{k}}\right), k\left[\psi (kz)-\log(k)\right]=\sum _{{n=0}}^{{k-1}}\psi \left(z+{\frac {n}{k}}\right)., k^{s}\zeta (s)=\sum _{{n=1}}^{k}\zeta \left(s,{\frac {n}{k}}\right),, k^{s}\,\zeta (s,kz)=\sum _{{n=0}}^{{k-1}}\zeta \left(s,z+{\frac {n}{k}}\right), \zeta (s,kz)=\sum _{{n=0}}^{{\infty }}{s+n-1 \choose n}(1-k)^{n}z^{n}\zeta (s+n,z)., F(s;q)=\sum _{{m=1}}^{\infty }{\frac {e^{{2\pi imq}}}{m^{s}}}=\operatorname {Li}_{s}\left(e^{{2\pi iq}}\right), 2^{{-s}}F(s;q)=F\left(s,{\frac {q}{2}}\right)+F\left(s,{\frac {q+1}{2}}\right)., k^{{-s}}F(s;kq)=\sum _{{n=0}}^{{k-1}}F\left(s,q+{\frac {n}{k}}\right).
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- WikiProject Mathematics[2]
🏷️ Also known as
en multiplication theorem
ar مبرهنة الجداء (دالة غاما)
es teorema de multiplicacion
es teorema de multiplicación
fr théorème de la multiplication
id teorema perkalian
ja 乗法定理
ko 곱셈 공식
pt teorema da multiplicação
ru теоремы умножения
🔖 Identifiers · 2
- Freebase ID
- /m/027g78j
- Microsoft Academic ID (discontinued)
- 75090586
🔗 Connections
Instance of 1
Maintained by WikiProject 1
Part of 1
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