A formal/analytic expression Σ a_n (x−c)^n. Its analytic properties on the disk of convergence ground complex analysis and generating-function combinatorics.
Power series
Related concepts
- Series convergence
- Complex numbers (ℂ)
- Radius of convergence
- Generating function
- Σ z₁ʲz₂ᵏ/4^{j+k} = 16/((z₁-4)(z₂-4)); pins at (1,1), (0,2)
- Taylor series approximation
- Neumann series (iterative inversion)
- Baker-Campbell-Hausdorff formula
- Transmon: E_J/E_C ~ 50 for exponentially-suppressed charge-noise sensitivity
- Mantegna-Stanley financial scaling
- Pareto wealth distribution
- Binary inspiral waveform (post-Newtonian)
- Dimensional analysis (EFT)
- EFT validity + breakdown
- Perovskite Goldschmidt tolerance factor
- Virial equation of state
- Black-Leff operational model: E = τ·A/(K_A + A(1+τ)); τ-parameter captures receptor-reserve
- Stevens psychophysics power law
- Multi-hit Vogelstein carcinogenesis model
- Kleiber 3/4-power allometric scaling (West-Brown-Enquist)