File:Gamma plus sin pi z.svg
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Original file (SVG file, nominally 576 × 426 pixels, file size: 23 KB)
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Summary
| Description |
English: The Gamma function analytically continues the factorial function to non-integers. However it is not unique in this.
Here a periodic function which is 0 at the integer values shows how it may be added to the gamma function resulting in another analytic continuation of the factorials. |
| Date | |
| Source | Original png graphic was made by Wolfmankurd and can be found at File:Gamma_plus_sin_pi_z.png |
| Author | Eitanlees |
| SVG development |  This plot was created with Matplotlib. |
| Source code | Python codeimport numpy as np
import matplotlib.pyplot as plt
from scipy.special import gamma
lb_x, ub_x = (-4.9, 4.5)
lb_y, ub_y = (-1.2, 5.2)
x = np.linspace(-5, 5, int(1e5))
y = gamma(x)
y[y > 2*ub_y] = np.inf
y[y < lb_y] = -np.inf
g = np.sin(np.pi*x) + y
fig, ax = plt.subplots(figsize=(8,6))
ax.plot(x, y, color = '#2020CE')
ax.plot(x, g, color = '#10CD30')
ax.set(
xlim=(lb_x, ub_x),
ylim=(lb_y, ub_y)
)
ax.spines['right'].set_color('none')
ax.spines['top'].set_color('none')
ax.xaxis.set_ticks_position('bottom')
ax.spines['bottom'].set_position(('data',0))
ax.yaxis.set_ticks_position('left')
ax.spines['left'].set_position(('data',0))
ax.grid(True, linestyle='dashed')
plt.show()
|
Licensing
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- Under the following conditions:
- attribution – You must give appropriate credit, provide a link to the license, and indicate if changes were made. You may do so in any reasonable manner, but not in any way that suggests the licensor endorses you or your use.
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File history
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| Date/Time | Thumbnail | Dimensions | User | Comment | |
|---|---|---|---|---|---|
| current | 19:39, 16 July 2019 | 576 × 426 (23 KB) | Eitanlees | Remove borders | |
| 19:30, 16 July 2019 | 720 × 540 (24 KB) | Eitanlees | User created page with UploadWizard |
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