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- power, in the formula The Dirichlet inverse of Liouville function is the absolute value of the Möbius function, \lambda ^{-1}(n)=|\mu (n)|=\mu ^{2}(n), (\lambda...2 KB (327 words) - 02:08, 9 March 2024
- the problem statement as given. If we denote the Sturm-Liouville operator by L, the Sturm-Liouville problem is Lu = w(x). What we want is to solve for u...11 KB (1,626 words) - 05:05, 9 March 2024
- It would be nice to create a disambiguation page for Liouville equation. Currently the similarly-named equation from physics hogs up all the possible...4 KB (588 words) - 06:31, 26 March 2024
- connection between zeros of Riemann zeta function and Liouville function sum? And why one zero of this function, with imaginary part a bit larger than 14...4 KB (576 words) - 03:39, 9 March 2024
- from Liouville's theorem, as given in this article. In the introduction, they say, The distribution function is assumed to satisfy the Liouville equation...38 KB (5,982 words) - 00:09, 20 May 2024
- following two concepts: Liouville's theorem which states that if an entire function f is bounded, then f is constant Trigonometric functions like sine and cosine...2 KB (214 words) - 18:18, 31 January 2023
- suggest moving this to elementary function and deleting the disambiguation page. "an elementary function is a function built from a finite number of exponentials...13 KB (1,921 words) - 14:39, 10 June 2024
- Green's function gives solutions to inhomogeneous differential-integral equations, most commonly a Sturm-Liouville problem. If G is the Green's function of...37 KB (5,928 words) - 20:13, 2 February 2024
- your function it would be _always zero_. This is precisely the kind of thing generalized functions were invented for! 3. The phase space (Liouville) measure_is...28 KB (4,500 words) - 21:07, 18 August 2024
- edu/viewdoc/download?doi=10.1.1.679.2560&rep=rep1&type=pdf The link attached to "Liouville measure" in the section "Concentration of measure in physics" leads to...3 KB (389 words) - 15:02, 28 July 2024
- Riesz on Riemann-Liouville integrals (fractional calculus) from 1938, Bochner (1932) and Carleman (1944) on Fourier transforms of functions of polynomial...10 KB (1,483 words) - 09:39, 2 February 2024
- Talk:Differential Galois theory (section However, no matter how long the list of so called elementary functions, as long as it is finite, there will still be functions on the list whose antiderivatives are not.)I needed. The subject has its origins in Liouville's papers centered on a theorem (now known as Liouville's principle) that gives the form of an elementary...6 KB (851 words) - 00:14, 9 March 2024
- singularities; - an elliptic function with no singularity is constant by Liouville's theorem. The usual construction of a Gw function is as a difference of Weierstrass...17 KB (2,760 words) - 16:06, 19 June 2024
- Talk:Fractional calculus (section ambiguous "Fractional derivative of a basic power function" section hiding the most important formula)tweaked and moved as a "Special case of basic power functions" section in the Riemann–Liouville_integral article. Same with the Laplace transform section...8 KB (1,211 words) - 12:58, 13 August 2024
- was first introduced by Dirichlet and some other mathematician (perhaps Liouville). We should check the historical information ! —Preceding unsigned comment...2 KB (400 words) - 02:35, 9 March 2024
- 1682 paper where he proved sin x is not an algebraic function of x." And then: Joseph Liouville first proved the existence of transcendental numbers in...59 KB (8,739 words) - 21:52, 22 March 2024
- 20:48, 16 December 2020 (UTC) For historical reasons I think a section on Liouville numbers belongs in both articles. Pi and e I think fit best into the transcendental...9 KB (1,402 words) - 09:53, 10 February 2024
- (l+1)=\lambda } 1) This has nothing to do with "Sturm-Liouville", the connection to "Sturm-Liouville" comes later in the analysis 2) Here one restricts oneself...63 KB (10,102 words) - 20:44, 9 August 2024
- initialized (used) properly.) By far, the most common form is the Riemann-Liouville form: a D t q f ( x ) = 1 Γ ( n − q ) d n d x n ∫ a t ( t − τ ) n − q...4 KB (525 words) - 22:51, 1 December 2006
- method that allows one to only consider a finite set of elementary functions of Liouville's form." Can anybody enlighten me on this? --Berntie (talk) 20:19...22 KB (3,367 words) - 04:16, 9 March 2024
- 6.9 Mellin Transormation 6.10 Elliptic Functions and Liouville Theorem 6.11 The Gamma, Sigma and Zeta Functions 6.12 The Riemann-von Mangoldt Formula 6