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Original author of an exponential generating function for the Bernoulli numbers?
special-functions
math-history
bernoulli-numbers
Continued fraction expansion related to exponential generating function
algorithms
power-series
special-functions
continued-fractions
bernoulli-numbers
Proving of the multiplication theorem for Bernoulli polynomial
bernoulli-numbers
Cauchy-Ramanujan Formula $ \displaystyle \sum_{\stackrel{m \in \mathbb{Z}}{m \neq 0}} \frac{\coth m \pi}{m^{4p+3}} $
sequences-and-series
zeta-functions
bernoulli-numbers
Is $\frac{\zeta (m+n)}{\zeta (m)\zeta (n)}$ a rational number for $m,n\ge 2\in\mathbb N$?
riemann-zeta
rational-numbers
zeta-functions
bernoulli-numbers
How to evaluate this limit about Bernoulli number?
calculus
sequences-and-series
limits
bernoulli-numbers
Help understanding the weak law of large numbers with respect to statistics
probability-theory
statistics
law-of-large-numbers
bernoulli-numbers
Calculating Bernoulli Numbers from $\sum\limits_{n=0}^\infty\frac{B_nx^n}{n!}=\frac x{e^x-1}$
real-analysis
sequences-and-series
analysis
bernoulli-numbers
Bernoulli Number analog using Cosine
sequences-and-series
reference-request
power-series
taylor-expansion
bernoulli-numbers
Bernoulli numbers generating function
number-theory
generating-functions
bernoulli-numbers
Non-trivial zero(s) of Akiyama-Tanigawa triangle
sequences-and-series
discrete-mathematics
recurrence-relations
bernoulli-numbers
Integral of binomial coefficients
integration
special-functions
gamma-function
bernoulli-numbers
pochhammer-symbol
Proving an identity for Bernoulli polynomials
calculus
sequences-and-series
bernoulli-numbers
Sum Involving Bernoulli Numbers : $\sum_{r=1}^n \binom{2n}{2r-1}\frac{B_{2r}}{r}=\frac{2n-1}{2n+1}$
real-analysis
summation
bernoulli-numbers
A cute approximation for $\cot(2\pi x)$(!?)
complex-analysis
approximation
bernoulli-numbers
A relationship between matrices, bernoulli polynomials, and binomial coefficients
linear-algebra
number-theory
binomial-coefficients
bernoulli-numbers
Power series of $x/(1-ae^{-x})$.
power-series
bernoulli-numbers
eulerian-numbers
What is the simplest way to get Bernoulli numbers?
bernoulli-numbers
Explicit formula for Bernoulli numbers by using only the recurrence relation
recurrence-relations
bernoulli-numbers
Bernoulli numbers: comparison to factorials
asymptotics
special-functions
analytic-number-theory
bernoulli-numbers
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