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- The substitution of into equation \(~ F(z\!+\!1)\!=\!\exp(F(z)/\mathrm e)~\) where \(x_0\) is solution of equation \(F(x_0)=1\).21 KB (3,175 words) - 23:37, 2 May 2021
- ...sponding [[Abel function]] <math>\mathcal{X}</math>, satisfying the [[Abel equation]] Instead of the last equation, one could write25 KB (3,622 words) - 08:35, 3 May 2021
- '''Transfer equation''' is relation between some [[holomorphic function]] \(h\), called [[transf ==Physical sense of the transfer equation==3 KB (519 words) - 18:27, 30 July 2019
- The [[Abel equation]] relates the [[Abel function]] \(G\) and the [[transfer function]] \(T\): ...in range of values of \(z\), this equation is equivalent of the [[Transfer equation]]4 KB (547 words) - 23:16, 24 August 2020
- In [[TORI]], the term usually refers to the [[Transfer equation]], the [[Abel equation]]; the transfer function is assumed to be given function that appear in the ==Transfer equation and Abel equation==11 KB (1,644 words) - 06:33, 20 July 2020
- '''Abel equation''' is [[functional equation]] that relates some known function (considered as [[transfer function]]) \( ===Transfer equation===4 KB (598 words) - 18:26, 30 July 2019
- There exist many solutions of equation (1). Some of them are considered in y.1950 by Helmuth Kneser In the equation (3), the number \(c\) of iteration can no need to be integer; it can be fra5 KB (750 words) - 18:25, 30 July 2019
- ...Шроедера]], [[Уравнение Шрёдера]]) or '''Schröder equation''' <ref name="hyperops"> </ref> or '''Schröder's equation''' <ref>8 KB (1,239 words) - 11:32, 20 July 2020
- denote a bilinear functional on <math>\{ {\rm A} \}</math> <math>\{ \Psi \}</math> and the functional38 KB (6,232 words) - 18:46, 30 July 2019
- This agree with equation (01) at Evaluation through equation ( 03), (15), (05),(06), and comparison to (01) give the coefficients:13 KB (2,088 words) - 06:43, 20 July 2020
- ..."best.'' We will approach the problem by first solving Abel's functional equation \(\alpha(e^x) = \alpha(x) + 1\) by perturbing the exponential function so a ..."best.'' We will approach the problem by first solving Abel's functional equation \(\alpha(e^x) = \alpha(x) + 1\) by perturbing the exponential function so a6 KB (950 words) - 18:48, 30 July 2019
- M.H. Hooshmand. (2018) Ultra power of higher orders and ultra exponential functional sequences. Journal of Difference Equations and Applications. [[Abel equation]],19 KB (1,132 words) - 20:36, 16 July 2023
- Peter L Walker. On the solutions of an Abelian functional equation. ...ed) through the [[superfunction]] \(F\), which is solution of the transfer equation15 KB (2,392 words) - 11:05, 20 July 2020