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Proof of a (simple?) inequality $x^n \geq \prod\limits_{i=1}^n (x+k_i)$
inequality
products
What 1 number do you remove from $(1!)(2!)..(99!)(100!)$ to get a perfect sqaure
factorial
products
How to prove the identity $\prod_{n=1}^{\infty} (1-q^{2n-1}) (1+q^{n}) =1 $ for $|q|<1$?
products
Equivalent of a product
asymptotics
products
How to prove that $\frac{\sin \pi x}{\pi x}=\prod_{n=1}^{\infty}(1-\frac{x^2}{n^2})$ [duplicate]
complex-analysis
products
infinite-product
Is $ \prod\limits_{k=0}^\infty \left(1 + \frac{1}{k!}\right) = \mathrm e^2 $?
sequences-and-series
products
New Year Maths 2015
combinatorics
summation
binomial-coefficients
recreational-mathematics
products
Solving Induction $\prod\limits_{i=1}^{n-1}\left(1+\frac{1}{i}\right)^{i} = \frac{n^{n}}{n!}$
induction
exponentiation
factorial
products
The derivative of a product of more than two functions
calculus
products
Matrix product notation
linear-algebra
matrices
notation
products
How does one calculate the product of $\tan 1^{\circ} ... \tan 45^{\circ}?$
trigonometry
circles
products
Proof that ${2x\over 2x-1}={A(x)\over A(x-1)}$ for every integer $x\ge2$, where $A(x)=\sum\limits_{n=0}^\infty\prod\limits_{k=0}^n\frac{x-k}{x+k}$
sequences-and-series
products
Generalizing a Trig Identity
trigonometry
products
Is the product of two measurable subsets of $R^d$ measurable in $R^{2d}$?
measure-theory
products
How was Euler able to create an infinite product for sinc by using its roots?
sequences-and-series
trigonometry
polynomials
roots
products
Does $\operatorname{product-of-digits}(n)=n/3$ have at least one solution in any bases except for the power of $3$?
elementary-number-theory
integers
products
decimal-expansion
Calculating $\int_0^\infty \frac{\sin(x)}{x} \frac{\sin(x / 3)}{x / 3} \frac{\sin(x / 5)}{x / 5} \cdots \frac{\sin(x / 15)}{x / 15} \ dx$
integration
improper-integrals
closed-form
products
trigonometric-integrals
Prove that $\prod\limits_{i=1}^n \frac{2i-1}{2i} \leq \frac{1}{\sqrt{3n+1}}$ for all $n \in \Bbb Z_+$
inequality
products
Simplifying the product $\prod\limits_{k=2}^n \left(1-\frac1{k^2}\right)$ [duplicate]
sequences-and-series
induction
products
Product of sets and supremum
real-analysis
products
supremum-and-infimum
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