3 papers
math-ph2024
Exact Evaluation and extrapolation of the divergent expansion for the Heisenberg-Euler Lagrangian II: Non-alternating Case
Christian D. Tica, Eric A. Galapon
We applied the method of finite-part integration [Galapon E.A Proc.R.Soc A 473, 20160567(2017)] to evaluate in closed-form the exact one-loop integral representations of the Heisen…
math-ph2023
Exact evaluation and extrapolation of the divergent expansion for the Heisenberg-Euler Lagrangian I: Alternating Case
Christian D. Tica, Eric A. Galapon
We applied the method of finite-part integration [Galapon E.A Proc.R.Soc A 473, 20160567(2017)] to evaluate in closed-form the exact one-loop integral representations of the Heisen…
math-ph2018
Finite-Part Integration of the Generalized Stieltjes Transform and its dominant asymptotic behavior for small values of the parameter. II. Non-integer orders
Christian D. Tica, Eric A. Galapon
The paper constitutes the second part on the subject of finite part integration of the generalized Stieltjes transform about $ω=…