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• Gamma function on certain time scales at bracket number equals bracket factorial
  ...{Z}^+$, and $[k]_{\mathbb{T}}$ is constant on $\mathbb{T}^+$ for all $k\in[1,n]\bigcap \mathbb{Z}^+$, then ...bb{T}}\left( [n]_{\mathbb{T}};s \right) = \dfrac{[n-1]_{\mathbb{T}}!}{s^{n-1}},$$
  494 bytes (72 words) - 18:07, 15 January 2023
• Bracket factorial
  1&; n=0 \\ \displaystyle\prod_{j=1}^n [j]_{\mathbb{T}} &; n=1,2,\ldots
  435 bytes (60 words) - 12:53, 16 January 2023
• Bracket number
  [n-1]_{\mathbb{T}} \boxplus_{\mu} 1 &; n=1,2,\ldots
  464 bytes (63 words) - 12:53, 16 January 2023
• Gamma function of x boxplus one
  $$\Gamma_{\mathbb{T}}\left(x \boxplus_{\mu} 1;s\right) = \dfrac{x}{s} \Gamma_{\mathbb{T}}(x;s),$$
  387 bytes (58 words) - 18:08, 15 January 2023
• Gamma function equals one at one
  $$\Gamma_{\mathbb{T}}(1;s)=1,$$
  242 bytes (32 words) - 17:57, 15 January 2023
• Paper:Robert J. Marks II/A generalized Fourier transform and convolution on time scales
  :1. Introduction ::2.1. Relevant time scales
  1 KB (119 words) - 16:01, 15 January 2023
• Diamond alpha Minkowski's inequality
  If $\mathbb{T}$ is a [[time scale]], $a,b \in \mathbb{T}$ with $a<b$, $p>1$, and $f,g \colon [a,b]\cap \mathbb{T}\rightarrow \mathbb{R}$ are continuou ...+ \left( \displaystyle\int_a^b |g(x)|^p \Diamond_{\alpha} x \right)^{\frac{1}{p}},$$
  566 bytes (94 words) - 15:17, 21 January 2023
• Paper:Ravi Agarwal/Inequalities on Time Scales: A Survey
  :1. Unifying Continuous and Discrete Analysis ::Theorem 3.1: [[Delta Hölder inequality]] <br />
  892 bytes (95 words) - 22:44, 10 February 2017
• Unilateral Laplace transform
  |[[Quantum_q_greater_than_1 | $\overline{q^{\mathbb{Z}}}, q > 1$]] |[[Quantum_q_less_than_1 | $\overline{q^{\mathbb{Z}}}, q < 1$]]
  2 KB (316 words) - 15:21, 21 January 2023
• Time scales footer
  <td><center>[[Quantum q greater than 1|$\huge\overline{q^{\mathbb{Z}}}$]]<br /> [[Quantum q greater than 1|Quantum, $q>1$]]</center></td>
  1 KB (211 words) - 22:29, 23 February 2016
• Gaussian bell
  $$p(t)=\ominus(t \odot 1).$$ |$2^{\frac{-t(t-1)}{2}}$
  1 KB (193 words) - 15:03, 21 January 2023
• Format notes
  File:Arccos.png|Graph of $\mathrm{arccos}$ on $[-1,1]$. |[[Quantum_q_greater_than_1 | $\overline{q^{\mathbb{Z}}}, q &gt; 1$]]
  6 KB (884 words) - 07:54, 1 June 2016
• Table:Delta gk
  |[[Quantum_q_greater_than_1 | $\overline{q^{\mathbb{Z}}}, q &gt; 1$]] |[[Quantum_q_less_than_1 | $\overline{q^{\mathbb{Z}}}, q &lt; 1$]]
  582 bytes (98 words) - 07:57, 23 March 2015
• Delta Bernoulli inequality
  $$e_{\alpha} \geq 1 + \alpha(t-s),$$
  539 bytes (70 words) - 15:45, 21 January 2023
• Delta Bihari inequality
  $$y(t) \leq G^{-1} \left[ G(\beta) + \displaystyle\int_a^t p(\tau) \Delta \tau \right]$$
  799 bytes (124 words) - 00:36, 15 September 2016
• Delta Hölder inequality
  ...{\frac{1}{p}} \left(\displaystyle\int_a^b |g(t)|^q \Delta t \right)^{\frac{1}{q}}$$ where $p>1$ and $q = \dfrac{p}{p-1}$.
  637 bytes (97 words) - 00:36, 15 September 2016
• Delta Minkowski inequality
  Let $a,b \in \mathbb{T}$ and $p>1$. For [[continuity | rd-continuous]] $f,g \colon [a,b] \cap \mathbb{T} \rig ...\frac{1}{p}}+ \left( \displaystyle\int_a^b |g(t)|^p \Delta t\right)^{\frac{1}{p}}.$$
  644 bytes (96 words) - 00:38, 15 September 2016
• Delta Wirtinger inequality
  ...[a,b] \cap \mathbb{T}} \dfrac{M(t)}{M^{\sigma}(t)} \right) \right]^{\frac{1}{2}} \right\}^2.$$
  962 bytes (160 words) - 00:39, 15 September 2016
• Cauchy function
  ...}(\cdot,s)=0; \hat{y}(\sigma(s),s)=0, \hat{y}^{\Delta}(\sigma(s),s)=\dfrac{1}{p(\sigma(s))}.$$
  498 bytes (85 words) - 22:17, 27 June 2015
• Reciprocal of delta exponential
  $$\dfrac{1}{e_p(t,s;\mathbb{T})}=e_{\ominus p}(s,t;\mathbb{T}),$$
  408 bytes (64 words) - 22:20, 9 June 2016

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