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representation through special numbers

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#number-theory #special-functions #bell-numbers
226
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Exponential generating function with Stirling numbers

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#generating-functions #stirling-numbers #bell-numbers
213
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Remebering bell numbers

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#elementary-number-theory #generating-functions #bell-numbers
506
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How are the Bell numbers related to this exponential series?

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#sequences-and-series #combinatorics #summation #stirling-numbers #bell-numbers
61
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$Li(x)$ function and Bell polynomials

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#number-theory #bell-numbers
98
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Closed form for $H(n,k)=\frac{1}{k!}\sum_{j=0}^\infty H(n-k, j)j^k$ where $H(1,k)=\frac{1}{k!}$

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#continuity #power-series #exponential-function #tetration #bell-numbers
257
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Extension of the Multivariate Faa di bruno's formula with more than two composite functions

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#calculus #linear-algebra #combinatorics #multivariable-calculus #bell-numbers
163
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Integral representation of Bell Polynomial?

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#calculus #analysis #gamma-function #polygamma #bell-numbers
66
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Calculating factorization for large numbers

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#elementary-set-theory #prime-factorization #bell-numbers
86
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Closed Form for Geometric-like Finite sum of Bell Polynomials

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#sequences-and-series #differential-operators #bell-numbers #umbral-calculus
85
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Stirling Numbers Exponential Generating Function Induction

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#sequences-and-series #induction #generating-functions #stirling-numbers #bell-numbers
46
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Periodicity of Bell numbers modulo $n$

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#elementary-number-theory #modular-arithmetic #bell-numbers
78
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Given Bell numbers as moments, derive the Poisson distribution

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#fourier-transform #poisson-distribution #bell-numbers
35
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On deriving a 'simple' formula for the taylor series of $\exp^{f(x_1,x_2)}$

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#combinatorics #analysis #power-series #exponential-function #bell-numbers
51
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number of "equivalence relations" on a set with "n-elements"

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#combinatorics #combinations #equivalence-relations #set-partition #bell-numbers

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