## Tag: taylor-series

68 Roots of truncations of $e^x - 1$ 2009-11-06T03:17:57.410

17 Integral representation of higher order derivatives 2011-05-17T18:40:50.093

16 A curious series related to the asymptotic behavior of the tetration 2017-01-23T23:37:24.947

15 Why is $\frac{\pi^2}{12}=\ln(2)$ not true? 2010-06-09T15:50:09.703

14 What's an example of a function whose Taylor series converges to the wrong thing? 2009-10-02T16:51:31.827

11 power series of the reciprocal... does a recursive formula exist for the coefficients. 2011-01-26T18:52:46.043

8 Estimate for tail of power series of exponential function? 2010-04-01T23:15:07.417

8 Taylor expansion of cumulant generating function 2017-01-11T09:13:54.470

7 What characterizes rational functions with nonnegative integer Taylor coefficients? 2010-01-29T05:44:50.957

7 References on Taylor series expansion of Riemann xi function 2013-05-27T20:14:44.477

7 Is there a bound for Lipschitz constant in terms of second differences? 2017-06-29T13:11:44.533

6 Laurent expansion of inverse of vandermonde determinant 2013-07-03T15:19:32.887

6 A function with positive decreasing Taylor coefficients? 2015-08-11T02:38:18.223

6 What's the summation of formal series $\sum_{n\geq0}\binom{n\delta}{n}x^n$？ 2017-11-16T02:32:24.413

5 Using Weierstrass’s Factorization Theorem 2010-02-26T08:39:00.313

5 Taylor series coefficients 2014-01-21T13:58:00.203

5 An interesting calculation of derivative 2014-08-21T09:05:49.843

5 Transformation converting power series to Bernoulli polynomial series 2017-03-31T21:20:23.173

4 Szegő curve for partial sum of Taylor series of Riemann $\Xi(z)$ function 2014-06-10T18:47:15.100

4 Lower Bounds for the Roots of Polynomials 2016-02-25T18:36:12.633

4 Asymptotic growth of the of Taylor coefficients of the inverse of a function 2017-11-01T06:22:50.850

3 Properties of signomial Functions in one variable 2009-10-21T14:10:58.877

3 Closed form of a type of generalised exponential functions 2009-10-26T13:20:09.457

3 about power series for iterated logarithms 2011-03-06T23:24:05.310

3 Taylor's series for Lie groups 2011-09-15T18:05:16.757

3 Converse of the taylor's theorem in Banach Spaces 2012-02-28T17:27:39.867

3 nonlinear delay differential equation 2012-10-11T19:46:22.490

3 derivatives of composite function 2014-03-18T10:09:45.967

3 Approximate the square root of (1-X) efficiently through (nested) products 2014-04-04T00:05:12.810

3 An apparently simple question (behaviour at infinity of a power series) 2014-05-15T18:27:55.220

3 why can't taylor series capture memory effects? 2015-03-25T08:56:13.760

3 Compute Inverse Series for Implicit Equation 2016-08-29T09:07:32.797

2 Padé approximation - usability in iterative algorithms 2010-10-04T19:25:12.787

2 Series approximation(s) of a difficult recursive equation 2011-04-21T22:03:24.540

2 Approximation:- Algorithmic considerations 2011-12-05T21:33:55.210

2 Numerical Computation of arcsin and arctan for real numbers 2012-08-09T04:31:59.397

2 Taylor expansion convergence relation to power-spectrum 2012-12-03T11:16:43.013

2 An algebraic equation question 2014-04-27T20:19:38.523

2 Positive, Uni-modal, Log-concave Combinatorics 2014-06-09T05:42:56.910

2 Zeros of partial sums of $(1+z)/(1-z)$ near $z=-1$ 2015-11-04T21:54:53.860

2 Smoothness of coefficients of remainder term in Taylor expansion 2016-09-28T19:32:45.597

2 Mean value theorem in terms of Wirtinger calculus? 2017-11-03T02:44:10.157

1 method for getting function from power series/perturbation series 2011-09-10T16:22:44.807

1 Applying the ideas of power series to certain convolutions - which identities transfer? 2011-11-17T22:37:56.547

1 Estimate the scale of the power series with Poisson pdf/pmf-like terms 2013-05-28T13:54:18.507

1 A nonlinear initial-boundary value problems with Taylor expansion of parameter 2013-10-01T03:57:40.617

1 Properties and name of some polynomials 2014-12-02T13:40:23.703

1 Generating a series representation for the inverse of the operator $f(f)$ 2015-08-23T07:16:19.503

1 aproximate sum involving binomial coefficients 2016-03-14T13:49:36.240

1 Taylor Series expansion for an implicitely defined family of functions 2016-08-22T04:06:17.300

1 A closed form of a summation or the taylor series expansion of some function with a closed form? 2016-12-19T07:50:47.683

1 Determining the rate of spread of geodesics when the sectional curvature is zero 2017-01-18T18:09:16.257

0 Jet spaces for maps with constraints 2011-08-20T09:43:41.153

0 Higher order Approximation of Lie groups 2011-08-21T15:00:17.577

0 Calculating entropy of adjacency matrix using eigenvalue decomposition? 2013-01-28T07:53:29.340

0 Inequality of Partial Taylor Series 2013-04-12T02:58:25.137

0 Series expansion with remaining $log n$ 2013-05-17T09:00:12.210

0 Discrete Taylor's Formula in n dimensions 2015-01-30T13:16:19.367

0 Asymptotics to Taylor expansions? 2015-09-28T00:15:01.007

0 Approximate $\mathbf{G}=(a\mathbf{H}+\mathbf{M})^+$ by Taylor expansion 2015-12-11T09:21:05.537

0 Transformation that transforms $x^n$ to $B_n(x)/(n-1)$ 2017-04-19T16:16:10.130

0 A polynomial and its reciprocal expansion 2017-06-01T17:10:37.943

-1 A question about approximation of Real analytic functions 2013-02-08T12:37:38.057

-2 Taylor series of a complex function that is not holomorphic 2010-01-12T17:16:34.713