diff options
author | Nicolas Tobler <nicolas.tobler@ost.ch> | 2022-08-03 20:37:12 +0200 |
---|---|---|
committer | Nicolas Tobler <nicolas.tobler@ost.ch> | 2022-08-03 20:37:12 +0200 |
commit | e08392d4bacb9a54c3ab755fa6445514749b608f (patch) | |
tree | 67af5a4a6ed541b1b425de89fd05c2a74a265571 /buch/papers/laguerre/scripts/integrand_exp.py | |
parent | improved Einleitung (diff) | |
parent | Merge pull request #39 from NaoPross/master (diff) | |
download | SeminarSpezielleFunktionen-e08392d4bacb9a54c3ab755fa6445514749b608f.tar.gz SeminarSpezielleFunktionen-e08392d4bacb9a54c3ab755fa6445514749b608f.zip |
Merge branch 'master' of https://github.com/AndreasFMueller/SeminarSpezielleFunktionen
Diffstat (limited to '')
-rw-r--r-- | buch/papers/laguerre/scripts/integrand_exp.py | 46 |
1 files changed, 46 insertions, 0 deletions
diff --git a/buch/papers/laguerre/scripts/integrand_exp.py b/buch/papers/laguerre/scripts/integrand_exp.py new file mode 100644 index 0000000..e649b26 --- /dev/null +++ b/buch/papers/laguerre/scripts/integrand_exp.py @@ -0,0 +1,46 @@ +#!/usr/bin/env python3 +# -*- coding:utf-8 -*- +"""Plot for integrand of gamma function with shifting terms.""" + +if __name__ == "__main__": + import os + from pathlib import Path + + import matplotlib as mpl + import matplotlib.pyplot as plt + import numpy as np + + mpl.rcParams.update( + { + "mathtext.fontset": "stix", + "font.family": "serif", + "font.serif": "TeX Gyre Termes", + } + ) + + EPSILON = 1e-12 + xlims = np.array([-3, 3]) + + root = str(Path(__file__).parent) + img_path = f"{root}/../images" + os.makedirs(img_path, exist_ok=True) + + t = np.logspace(*xlims, 1001)[:, None] + + z = np.array([-1, -0.5, 0.0, 0.5, 1, 2, 3, 4, 4.5]) + e = np.exp(-t) + r = t ** z * e + + fig, ax = plt.subplots(num=2, clear=True, constrained_layout=True, figsize=(4, 2.4)) + ax.semilogx(t, r) + # ax.plot(t,np.exp(-t)) + ax.set_xlim(10 ** (-2), 20) + ax.set_ylim(1e-3, 10) + ax.set_xlabel(r"$x$") + # ax.set_ylabel(r"$x^z e^{-x}$") + ax.grid(1, "both") + labels = [f"$z={zi: 3.1f}$" for zi in np.squeeze(z)] + ax.legend(labels, ncol=2, loc="upper left", fontsize="small") + # fig.savefig(f"{img_path}/integrand_exp.pgf") + fig.savefig(f"{img_path}/integrand_exp.pdf") + # plt.show() |