Tag: series-expansion

63 Multivariable Taylor expansion does not work as expected 2012-11-22T04:15:29.303

28 Solving an ODE in power series 2013-05-17T03:42:13.960

27 How does Mathematica understand branchcuts of the complex logarithm? 2014-03-26T03:37:44.500

23 Changes to Series[...] in version 11.1 2017-04-12T10:26:52.193

21 Series vs Asymptotic in 12.1 2020-03-18T14:41:14.183

20 Expansion of a hypergeometric function takes ages with Mathematica 9 and 10 (regression?) 2015-03-29T18:28:43.227

18 Series sum approximation 2017-06-26T07:05:24.277

17 SeriesData sucks when it can. How do I keep SeriesData from sucking? 2015-08-30T21:46:32.233

16 Big-Oh Notation 2012-07-11T01:30:25.707

16 Why does $\frac{\partial}{\partial x}O\left(\left(\frac{1}{x}\right)^0\right)$ equal $O\left(\left(\frac{1}{x}\right)^0\right)$ in a series expansion? 2013-01-26T18:00:16.473

16 How can I obtain an asymptotic integral expansion at infinity? 2015-05-05T17:40:08.767

15 Why do big-O terms disappear in definite integrals since Mathematica 9? 2014-10-28T14:49:14.747

15 How to convert this term to a Hypergeometric function? 2019-10-19T07:57:15.417

14 Evaluation of a triple sum does not finish in reasonable time 2013-05-08T08:26:51.110

14 How does Mathematica find a series expansion of expressions containing logarithms when there is a singularity at the expansion point? 2013-12-15T00:35:11.720

14 Chebyshev Approximation 2016-01-05T16:46:51.737

13 Find asymptotics of $\sum\limits_{i=0}^{n/3} 2^i \binom{n-i-1}{\frac{2n}{3}-1}$ 2013-09-24T12:02:10.377

13 How to compute the residue of $e^{z-\frac{1}{z}}$ at z=0? 2014-02-05T19:35:50.657

13 Why is this infinite series wrongly computed by Mathematica? 2014-06-05T08:36:00.303

13 Exponential of a Differential Operator 2014-06-25T15:23:08.433

13 Differentiation and series expansion of dot product - inconsistent results 2016-06-24T14:20:34.403

13 How to find the perturbation of $x^2 − 1 = \epsilon x$? 2016-12-06T02:57:12.160

12 Dirichlet coefficients as limits: wrong 2015-07-08T09:00:28.953

12 A more convenient Fourier series 2017-07-01T11:35:56.607

11 Series expansion of an inverse 2012-01-27T17:50:59.737

11 Find closed form expression for series expansion coefficients 2013-03-20T02:43:46.447

11 Why does Mathematica fail to series expand this simple expression? 2013-04-16T18:08:58.703

11 InverseSeries of multiple variables and multiple equations 2013-05-08T14:56:08.327

11 Why do I get a wrong result from SeriesCoefficient? 2016-12-03T17:55:55.640

11 Mathematica 12 crashes upon taking the Log of a double series 2019-06-03T22:07:31.597

10 Series expansion with irrational power 2012-08-30T03:30:37.937

10 Unexpected behaviour of SeriesCoefficient? 2013-03-20T08:43:34.767

10 Contour Integration along a contour containing two branch points 2015-04-21T07:00:02.320

10 How to predict the degree of the first series coefficient? 2015-10-18T14:10:45.927

9 Laurent series expansion 2013-04-19T02:35:43.007

9 How do I find a series solution for $e^{-\frac{1}{2}f'(x)} \mathrm{cosh}( f(x) ) = ax + b$? 2014-11-07T04:53:41.543

9 Expand series unevaluated 2016-03-20T01:40:20.840

9 Bug in SumConvergence 2018-12-16T08:04:05.570

9 How could this asymptotic expansion be obtained? 2019-05-06T05:32:35.723

8 How to study asymptotic behavior, built-in functions 2013-01-17T17:11:41.830

8 Declaration of abstract matrices to perform series expansion on them 2013-04-26T13:42:54.737

8 Finding the coefficient of a certain power in a generating function 2014-09-04T10:56:36.720

8 Error in infinite sum 2015-02-24T10:18:07.277

8 Generating terms of the Stirling series 2015-06-24T09:29:53.810

8 Evaluating a Series expansion of PolyLog function 2015-06-25T18:30:03.467

8 Trouble with shooting method for a 4th-order differential equation 2016-01-08T09:03:12.723

8 Analytical approximation of indefinite integral on a given interval to a given precision 2016-08-01T23:37:42.383

8 Expansion for Modified Bessel Function Around Infinity 2016-08-05T19:09:12.430

8 Fail to make good approximation with a Taylor Series 2016-08-17T00:21:06.083

8 Taylor expansion of a function containing QPochhammer[q, q, n] 2017-03-06T16:48:53.073

8 How to represent $f(x) = (y-x)^k \log(y-x)$ as a summation of the form $f(x) = \sum\limits_{j=0}^\infty \cdots$? 2017-04-20T19:11:36.617

8 Using Fourier Series to acquire Nonlinear ODE Periodic Solutions 2017-05-11T09:24:14.140

8 Series expansion wrong 2017-09-29T17:15:28.103

8 Confused about the solution obtained from vector linearization 2018-08-06T20:18:29.120

8 How to do this series expansion with Mathematica 2018-08-31T18:31:48.160

8 Error Message when nothing should be evaluated 2019-09-21T20:53:34.203

7 Sophistication of Series[...] 2012-04-16T21:31:58.497

7 Series expansion in terms of Hermite polynomials 2013-04-14T19:40:25.467

7 Design considerations behind `O` (a.k.a. BigOh, a.k.a. Landau Order) 2013-04-16T14:38:33.523

7 Series expansion for small ratio of variables 2013-06-27T14:48:10.847

7 How to get rid of all complex numbers and functions? 2014-02-17T12:57:11.980

7 Is it possible to circumvent a bug inside SeriesCoefficient? 2014-05-08T16:06:22.063

7 `FindSequenceFunction` for sum of hypergeometric terms? 2014-10-26T19:59:22.110

7 How to reverse irreversible function in Mathematica? 2015-04-22T15:22:15.983

7 How to force Series[] to compute expansions by considering non commutative multiplication? 2016-03-12T14:36:38.010

7 Can I get Mathematica to recognize common series expansions of trigonometric functions? 2016-12-07T19:10:18.920

7 Series expansion (bug in 11.2?) 2017-11-17T11:00:43.690

7 Removing higher order terms 2018-07-28T01:28:13.507

7 Legendre expansion of the Dirac delta function 2020-06-19T11:37:25.213

6 How to expand a function into a power series with negative powers? 2013-01-09T12:30:58.563

6 Solution of equation with power series (perturbation) 2013-06-13T10:10:42.047

6 Erfi[z] expansion in Mathematica: is this a bug? 2013-07-08T06:20:40.307

6 Is it possible to find a function from first few terms in the expansion 2013-12-01T21:09:17.630

6 How to make all numbers equal to one in a Series? 2014-01-27T21:28:27.530

6 Series coefficients for an infinite sum? 2014-02-27T13:21:11.687

6 Symbolically Expanding One-Variable $q$-hypergeometric Series 2014-04-08T00:53:03.353

6 Isolating cross terms 2015-02-26T20:02:52.163

6 Taylor series representation as an infinite sum 2015-05-15T19:51:37.647

6 Find exponential generating function from the first few terms 2015-05-20T09:19:32.503

6 Series solution of the Lane-Emden equation 2015-11-05T09:25:48.517

6 Getting around Series[Sinc] bug 2015-12-13T12:32:49.867

6 Successive Series Expansion Bug (?) 2016-02-22T10:54:09.423

6 How can I make Mathematica list the terms in this series? 2016-06-18T18:29:30.327

6 Series Expansions in Mathematica 2016-12-02T22:17:02.197

6 How does FindGeneratingFunction work? 2016-12-07T21:13:44.490

6 How can I make Mathematica return a series expansion in the form $\sum_{j=0}^\infty \dots$ instead of $a_0 + a_1x^1 + \dots + a_{n-1}x^{n-1}+ O(x^n)$ 2017-04-02T12:04:51.550

6 Regarding obtaining a series expansion at infinity 2017-09-29T22:08:46.097

6 SeriesCoefficient is broken in Mathematica 11.1, but works in 11.0 2017-11-18T05:56:08.010

6 Problem with `Derivative`/`Series` and `InverseFunction` 2017-12-03T13:03:39.677

6 Series expansion gives incorrect result 2018-01-10T09:35:28.463

6 Why can’t mathematica find this residue? 2018-04-30T21:20:27.577

6 Build general form of an infinite sequence 2020-03-28T17:42:17.963

5 Expansion of $E(i c \mid m)$ at $c\to\infty$? 2013-03-23T14:00:30.340

5 Apparently contradictory output from Series and D 2013-11-03T07:30:20.057

5 Problems with series of generalized hypergeometric functions 2014-02-24T21:16:13.483

5 How to get the series expansion of $e^{x^a}$ at $x=0$? 2014-03-17T21:22:33.427

5 Asymptotic expansion 2014-03-18T18:27:46.600

5 Series expansion for $\frac{x}{1- \frac{1}{x}}$ 2014-08-02T09:17:40.117

5 Is there a function that, given a rational function, will return the general term of its infinite series expansion? 2014-08-03T13:13:34.050