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- 22:49, 16 June 2016 (diff | hist) . . (+437) . . N Q-difference equation for q-exponential E sub 1/q (Created page with "==Theorem== The following formula holds: $$D_q E_{\frac{1}{q}}(az)=aE_{\frac{1}{q}}(qaz),$$ where $D_q$ denotes the q-difference operator and $E_{\frac{1}{q}}$ denotes the...")
- 22:47, 16 June 2016 (diff | hist) . . (-325) . . Q-exponential E sub 1/q
- 22:46, 16 June 2016 (diff | hist) . . (+43) . . Q-exponential E sub 1/q
- 22:46, 16 June 2016 (diff | hist) . . (+166) . . Q-exponential E sub 1/q
- 22:45, 16 June 2016 (diff | hist) . . (+23) . . Q-difference equation for q-exponential E sub q
- 22:44, 16 June 2016 (diff | hist) . . (+422) . . N Q-difference equation for q-exponential E sub q (Created page with "==Theorem== The following formula holds: $$D_q E_q(az) = aE_q(az),$$ where $D_q$ is the $q$-difference operator and $E_q$ is the Q-exponential E su...")
- 22:42, 16 June 2016 (diff | hist) . . (+416) . . N Meromorphic continuation of q-exponential E sub q (Created page with "==Theorem== The following meromorphic continuation of $E_q$ holds: $$E_q(z)=\dfrac{1}{(z(1-q);q)_{\infty}},$$ where $(z(1-q);q)_{\infty}$ denotes the q-Pochhammer symbol...")
- 22:38, 16 June 2016 (diff | hist) . . (-98) . . Q-exponential E sub q
- 22:34, 16 June 2016 (diff | hist) . . (+262) . . Book:Thomas Ernst/A Comprehensive Treatment of q-Calculus
- 22:32, 16 June 2016 (diff | hist) . . (+10) . . Q-factorial
- 22:31, 16 June 2016 (diff | hist) . . (-104) . . Q-derivative power rule
- 22:31, 16 June 2016 (diff | hist) . . (+85) . . Q-factorial
- 22:29, 16 June 2016 (diff | hist) . . (+341) . . N Q-number when a=n is a natural number (Created page with "==Theorem== The following formula holds for $n \in \{1,2,\ldots\}$ and $q \in \mathbb{C} \setminus \{0,1\}$: $$[n]_q=\displaystyle\sum_{k=1}^n q^{k-1}.$$ ==Proof== ==Refere...")
- 22:27, 16 June 2016 (diff | hist) . . (+37) . . Q-number
- 22:26, 16 June 2016 (diff | hist) . . (+85) . . Q-number
- 22:24, 16 June 2016 (diff | hist) . . (-124) . . Q-number
- 22:24, 16 June 2016 (diff | hist) . . (+235) . . Q-number
- 17:35, 16 June 2016 (diff | hist) . . (+4,640) . . Book:Thomas Ernst/A Comprehensive Treatment of q-Calculus
- 17:04, 16 June 2016 (diff | hist) . . (+1,627) . . Book:Thomas Ernst/A Comprehensive Treatment of q-Calculus
- 16:57, 16 June 2016 (diff | hist) . . (+3,669) . . N Book:Thomas Ernst/A Comprehensive Treatment of q-Calculus (Created page with "{{Book|A Comprehensive Treatment of q-Calculus|2012|Springer Basel||Thomas Ernst}} ===Contents=== :Introduction ::1.1 A survey of the chapters ::1.2 What is $q$-calculus? :::...")
- 16:38, 16 June 2016 (diff | hist) . . (-39) . . Book:Leonard Lewin/Dilogarithms and Associated Functions
- 16:36, 16 June 2016 (diff | hist) . . (0) . . Book:Leonard Lewin/Dilogarithms and Associated Functions
- 16:36, 16 June 2016 (diff | hist) . . (+1) . . Book:Leonard Lewin/Dilogarithms and Associated Functions
- 16:34, 16 June 2016 (diff | hist) . . (-18) . . Dilogarithm
- 16:31, 16 June 2016 (diff | hist) . . (+54) . . Logarithm
- 16:31, 16 June 2016 (diff | hist) . . (+32) . . Relationship between logarithm and Mangoldt (current)
- 16:30, 16 June 2016 (diff | hist) . . (+283) . . N Relationship between logarithm and Mangoldt (Created page with "==Theorem== The following formula holds: $$\log(n) = \displaystyle\sum_{d | n} \Lambda(d),$$ where $\log$ denotes the natural logarithm and the notation $d | n$...")
- 16:30, 16 June 2016 (diff | hist) . . (-322) . . Mangoldt
- 16:25, 16 June 2016 (diff | hist) . . (+25) . . Main Page (→Special sequences)
- 16:03, 16 June 2016 (diff | hist) . . (-437) . . Main Page (→$q$-calculus)
- 16:01, 16 June 2016 (diff | hist) . . (-125) . . Glaisher–Kinkelin constant (current)
- 16:01, 16 June 2016 (diff | hist) . . (+5) . . Glaisher–Kinkelin constant
- 09:47, 16 June 2016 (diff | hist) . . (+30) . . Main Page (→Special functions in number theory)
- 09:47, 16 June 2016 (diff | hist) . . (+1,700) . . N File:Mobiusglyph.png (Category:mobiusglyph <pre>#!/usr/bin/python import numpy as np import matplotlib.pyplot as plt from mpmath import * from pylab import rcParams rcParams['figure.figsize'] = 2.4,2.4 def numberOfFactors(n): counter = 0 while (n > 1):...)
- 09:43, 16 June 2016 (diff | hist) . . (-20) . . Möbius
- 09:43, 16 June 2016 (diff | hist) . . (+1,183) . . N File:Mobiusplot,on0to100.png (Category:Plot <pre>#!/usr/bin/python import numpy as np import matplotlib.pyplot as plt from mpmath import * from pylab import rcParams rcParams['figure.figsize'] = 10, 10 def numberOfFactors(n): counter = 0 while (n > 1):...) (current)
- 09:42, 16 June 2016 (diff | hist) . . (+17) . . N File:Mobiusplot,on0to40.png (Category:Plot) (current)
- 09:27, 16 June 2016 (diff | hist) . . (+5) . . Möbius
- 09:20, 16 June 2016 (diff | hist) . . (+311) . . N File:Complexidentityglyph.png (Category:Identityglyph <pre>#!/usr/bin/python import numpy as np import matplotlib.pyplot as plt from mpmath import * from pylab import rcParams rcParams['figure.figsize'] = 2.5, 2.5 def g(x): return x cplot(g ,[-1,1],[-1,1],points=400000,...) (current)
- 08:28, 16 June 2016 (diff | hist) . . (+40) . . Main Page
- 08:25, 16 June 2016 (diff | hist) . . (+884) . . N File:Identityglyph.png (Category:identityglyph <pre>#!/usr/bin/python import numpy as np import matplotlib.pyplot as plt from mpmath import * from pylab import rcParams rcParams['figure.figsize'] = 2.4,2.4 x=np.arange(-3,3,0.01) def g(x): return x f=np.vectorize...) (current)
- 08:22, 16 June 2016 (diff | hist) . . (+112) . . Main Page
- 08:21, 16 June 2016 (diff | hist) . . (+855) . . N File:Floorglyph.png (Category:floorglyph <pre>#!/usr/bin/python import numpy as np import matplotlib.pyplot as plt from mpmath import * from pylab import rcParams rcParams['figure.figsize'] = 2.4,2.4 x=np.arange(-4,4,0.01) f=np.vectorize(floor) y=f(x) fig, ax = plt.s...) (current)
- 08:18, 16 June 2016 (diff | hist) . . (0) . . File:Ceilingglyph.png (Tom uploaded a new version of "File:Ceilingglyph.png") (current)
- 08:16, 16 June 2016 (diff | hist) . . (+136) . . Main Page
- 08:12, 16 June 2016 (diff | hist) . . (+819) . . N File:Ceilingglyph.png (Category:Ceilingglyph <pre>#!/usr/bin/python import numpy as np import matplotlib.pyplot as plt from mpmath import * from pylab import rcParams rcParams['figure.figsize'] = 2.4,2.4 x=np.arange(-3,3,0.01) f=np.vectorize(ceil) y=f(x) fig, ax = plt....)
- 08:09, 16 June 2016 (diff | hist) . . (+114) . . Main Page (→Special functions)
- 08:06, 16 June 2016 (diff | hist) . . (+1,052) . . N File:Signumglyph.png (Category:signumglyph <pre>#!/usr/bin/python import numpy as np import matplotlib.pyplot as plt from mpmath import * from pylab import rcParams rcParams['figure.figsize'] = 2.4,2.4 x1=np.arange(-4,-0.05,0.01); x2=np.arange(0.05,4,0.01); def g1(x):...)
- 08:03, 16 June 2016 (diff | hist) . . (+56) . . Signum
- 08:03, 16 June 2016 (diff | hist) . . (0) . . Signum
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