Evaluation of Some Integrals Following from $L_1$, the Constant of the Asymptotic Expansion of $\ln \Gamma_1 (x+1)$, Originating from Physics (QED)
| Autor: | Dittrich, W. |
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| Rok vydání: | 2017 |
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| Druh dokumentu: | Working Paper |
| Popis: | Comparison of three different regularization methods of calculating the one-loop effective Heisenberg-Euler Lagrangian of quantum electro-dynamics (QED) is employed to derive some interesting integrals involving the asymptotic expansion of $\ln \Gamma_1(x+1)$, the generalized $\Gamma$ function. Here it is the constant $L_1$ that will enable us to calculate some integrals which are useful in mathematics as well as in physics. Comment: 10 pages |
| Databáze: | arXiv |
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