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File:Besselh0mapT100.png For large values, the direct asymptotic expansion should be used instead.(2,284 × 1,164 (1.65 MB)) - 08:31, 1 December 2018
File:DSC01695bangkok.JPG .. Here is primary approximation with two terms held in the asymptotic expansion ..(2,048 × 1,536 (1.13 MB)) - 09:43, 21 June 2013
File:SimudoyaTb.png ...ry approximation of $F$ with one term and with two terms of the asymptotic expansion, respectively.(3,388 × 1,744 (537 KB)) - 08:51, 1 December 2018
File:SuZex0map48small.png [[Complex map]] of the truncated [[Taylor expansion]] of function [[SuZex]] at zero; polynomial $P_{48}$ is plotted, $u\!+\!\ma Coefficients $c$ are calculated with [[Mathematica]], from the [[asymptotic expansion]] at large $-z$, condition $~\mathrm{SuZex}(0)\!=\!1~$ and the [[transfer e(1,230 × 1,230 (734 KB)) - 09:43, 21 June 2013
File:SuZexD1mapT.png [[SuZex]] is built-up at the fixed point zero from asymptotic behavior; the approximation below is implemented: ...get the camera-ready copy. For the precise computation, more terms in the expansion (1) should be calculated.(2,576 × 2,559 (1.04 MB)) - 08:53, 1 December 2018
File:SuZexo20testTjpg.jpg [[Agreement map]] for the asymptotic approximation $Q_{20}$ of function [[SuZex]]. ...bs(z) < 1.6 ) return SuZexTay0(z) ; // I made the Taylor expansion for this case(4,576 × 4,542 (1.81 MB)) - 17:14, 25 September 2013
File:SuZexoMapJPG.jpg [[Complex map]] of the asymptotic expansion $Q_{20}$ of function [[SuZex]]; $~u\!+\!\mathrm i v\!=Q_{20}\!(x\!+\!\mathr and the expansion by orders of $1/z$. Here [[zex]](z)$\,=z\,\exp(z)~$.<br>(4,576 × 4,542 (1.73 MB)) - 17:15, 25 September 2013- Error creating thumbnail: File with dimensions greater than 12.5 MP
File:SuZexoMapT.png [[Complex map]] of the asymptotic expansion $Q_{20}$ of function [[SuZex]]; $u\!+\!\mathrm i v\!=Q_{20}(x\!+\!\mathrm i(4,576 × 4,542 (1.57 MB)) - 09:43, 21 June 2013 
File:TaniaBigMap.png The [[complex map]] of the truncated expansion of the [[Tania function]] at large values of its argument. Function <br> [[Category:Asymptotic expansions]](851 × 841 (654 KB)) - 08:53, 1 December 2018
File:TaniaNegMapT.png [[Complex map]] of the truncation of the asymptotic expansion of the [[Tania function]] [[Category:Asymptotic series]](1,773 × 1,752 (306 KB)) - 09:39, 21 June 2013
File:Tetreal2215.jpg // but for the serious numerial analysis the number of terms in the expansion should be increased;<br> // and for large values of the imaginary part, the asymptotic representaton should be used instead.(876 × 881 (130 KB)) - 09:38, 21 June 2013
File:Amoscplot.jpg The upper blue curve shows the upper asymptotic approximation, The lower red curve shows the lower asymptotic approximation,(2,092 × 780 (147 KB)) - 08:29, 1 December 2018
File:Koriasmap.jpg [[Complex map]] of asymptotic approximation [[korias]] with 11 terms of function [[kori]]. At large values of the argument, $|z|\gg 1$, the asymptotic approximation appears as [[korias]] defined with(1,379 × 1,354 (941 KB)) - 08:40, 1 December 2018
File:Matbug01.jpg Bug of the [[Mathematica]] routine [[Series]] at calculation of asymptotic expansion of the [[Bessel function]]. [[Category:Asymptotic expansion]](1,165 × 872 (272 KB)) - 08:42, 1 December 2018
File:MathematicaBug01Fragment.jpg [[Category:Asymptotic expansion]](1,086 × 349 (92 KB)) - 08:42, 1 December 2018
File:Moriasmap1.jpg [[Complex map]] of asymptotic approximation [[morias]] of function [[mori]] [[Category:Asymptotic expansion]](2,154 × 1,312 (1.3 MB)) - 08:43, 1 December 2018
File:Sunem0map6.jpg (* Coefficients of the asymptotic expansion of function SuNem can be computed with the Mathematica code below *)(2,615 × 2,594 (1.15 MB)) - 08:53, 1 December 2018
File:Sunem0mdp.jpg (* Coefficients of the asymptotic expansion of function SuNem can be computed with the Mathematica code below *) co(); // Evaluate soefficients of the expansion(2,158 × 2,141 (822 KB)) - 08:53, 1 December 2018
File:Sunem1map6.jpg (* Coefficients of the asymptotic expansion of function SuNem can be computed with the Mathematica code below *)(2,615 × 2,594 (995 KB)) - 08:53, 1 December 2018
File:Sunem2map6.jpg (* Coefficients of the asymptotic expansion of function SuNem can be computed with the Mathematica code below *)(2,615 × 2,594 (983 KB)) - 08:53, 1 December 2018
