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Everything about Exponential formula
In combinatorial mathematics, the exponential formula states that the exponential generating function for structures on finite sets is the exponential of the exponential generating function for connected structures. The exponential formula is a power series version of a special case of Faà di Bruno's formula. Wikipedia →
🧭 Start here: a 6-step reading path
- Read the overview: Exponential formulaA 5-minute orientation
- Skim a recent paper: Mean-square exponential input-to-state stability for stochastic neutral-type quaternion-valued neural networks via Itô’s formula of quaternion versionInfluential work since 2022
- Pick up a classic book: The Runge-Kutta discontinuous Galerkin method for conservation laws VThe most-reprinted book on the subject
- Read the landmark paper: On the convergence of exponential operators—the Zassenhaus formula, BCH formula and systematic approximantsCited 129 times
- Go sideways: Stirling numbers and exponential generating functions in symbolic combinatoricsA closely related topic
- Go sideways: Bell numberA closely related topic
📖 Definitions
No dictionary entry for this exact phrase.
🗂️ The subject at a glance
🏆 Landmark papers (most cited)
On the convergence of exponential operators—the Zassenhaus formula, BCH formula and systematic approximants
Exponential formula for computing effective viscosity
Exponential Formula for Bedload Transport
Optimality of the double exponential formula - functional analysis approach -
A robust double exponential formula for Fourier-type integrals
A q-analog of the exponential formula
An IMT-Type Double Exponential Formula for Numerical Integration
Some applications of the q-exponential formula
🆕 Influential since 2022
Mean-square exponential input-to-state stability for stochastic neutral-type quaternion-valued neural networks via Itô’s formula of quaternion version
An Exponential-Trigonometric Optimal Interpolation Formula
Analytical formula for conditional expectations of path-dependent product of polynomial and exponential functions of extended Cox–Ingersoll–Ross process
An optimal quadrature formula exact to the exponential function by the phi function method
Remarks on exponential attractors for a non-autonomous PDE with <inline-formula><tex-math id="M1">$ H^{-1} $</tex-math></inline-formula>-valued forces
📚 Books worth reading
- 📕The Runge-Kutta discontinuous Galerkin method for conservation laws VB. Cockburn · 1997
- 📕The Runge-Kutta discontinuous Galerkin method for convection-dominated problemsB. Cockburn · 2000
Ranked by number of editions on Open Library, a rough measure of how lasting a book is.
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