in the area of complex analysis, Carlson's theorem is a uniqueness theorem which was discovered by Fritz David Carlson. Informally, it states that two...
5 KB (711 words) - 23:17, 29 May 2025
California, USA Carlson's patrol, USMC operation during Guadalcanal campaign Carlson Stadium, Decorah, Iowa, USA Carlson's theorem, uniqueness theorem about a...
940 bytes (128 words) - 06:27, 7 January 2025
of complex numbers are far more tightly constrained, and require Carlson's theorem to hold. Mahler, K. (1958), "An interpolation series for continuous...
2 KB (353 words) - 17:44, 22 July 2025
(Daubechies wavelet filters) Binomial series Binomial theorem Binomial transform Binomial type Carlson's theorem Catalan number Fuss–Catalan number Central binomial...
2 KB (220 words) - 05:14, 5 March 2025
Carleson–Jacobs theorem (complex analysis) Carlson's theorem (complex analysis) Cauchy integral theorem (complex analysis) Cauchy–Hadamard theorem (complex analysis)...
78 KB (6,296 words) - 20:31, 6 July 2025
short proof of this representation of the zeta function, based on Carlson's theorem, was presented by Philippe Flajolet in 2006. The asymptotic behavior...
74 KB (10,595 words) - 15:06, 7 August 2025
his students. Carlson's contributions to analysis include Carlson's theorem, the Polyá–Carlson theorem on rational functions, and Carlson's inequality:...
4 KB (328 words) - 19:50, 27 April 2025
Hadamard product for cosine. Jensen's formula Carlson's theorem Exponential type Paley–Wiener theorem Wiman-Valiron theory If necessary, the logarithm...
18 KB (3,285 words) - 13:28, 29 March 2025
Newton form of the interpolation polynomial Bernstein polynomial Carlson's theorem Lebesgue constant The Chebfun system Table of Newtonian series Frobenius...
21 KB (3,939 words) - 18:59, 5 August 2025
Phragmén–Lindelöf principle (redirect from Phragmén-Lindelöf theorem)
Lindelöf's theorem. Carlson's theorem is an application of the principle to functions bounded on the imaginary axis. Hadamard three-lines theorem The term...
12 KB (2,002 words) - 15:25, 28 June 2025
the replica trick works would be to check that the assumptions of Carlson's theorem hold, especially that the ratio ( Z n − 1 ) / n {\displaystyle (Z^{n}-1)/n}...
11 KB (1,662 words) - 16:13, 16 July 2025
weakened all the way to the assumption that f is merely continuous. Carlson's theorem provides necessary and sufficient conditions for a Newton series to...
38 KB (5,863 words) - 17:31, 5 June 2025
sum actually represents a family of functions. However, due to the Carlson's theorem, the solution equal to its Newton series expansion is unique up to...
14 KB (2,773 words) - 16:47, 3 August 2025
{\displaystyle \sin(\pi z)} along the imaginary axis. So, for this example, Carlson's theorem cannot apply, as it requires functions of exponential type less than...
7 KB (1,308 words) - 00:39, 3 October 2024
Hermite interpolation Carlson's theorem Table of Newtonian series Dunham, William (1990). "7". Journey Through Genius: The Great Theorems of Mathematics. Kanak...
27 KB (5,932 words) - 13:39, 26 March 2025
Mathematical Monthly describing the theorem. Bôcher's theorem for rational functions "Carlson's proof of Marden's theorem" (PDF). Kalman, Dan (2008a), "An...
9 KB (1,273 words) - 05:05, 24 April 2024
and w = ( e t − 1 ) e β t {\displaystyle w=(e^{t}-1)e^{\beta t}} . Carlson's theorem Bernoulli polynomials of the second kind Ralph P. Boas, Jr. and R...
2 KB (463 words) - 16:47, 31 July 2020
{\displaystyle \sin(\pi z)} along the imaginary axis. So, for this example, Carlson's theorem cannot apply, as it requires functions of exponential type less than...
7 KB (1,238 words) - 07:56, 21 January 2025
transform List of factorial and binomial topics Nörlund–Rice integral Carlson's theorem Philippe Flajolet and Robert Sedgewick, "Mellin transforms and asymptotics:...
4 KB (914 words) - 23:56, 24 March 2025
The fluctuation–dissipation theorem (FDT) or fluctuation–dissipation relation (FDR) is a powerful tool in statistical physics for predicting the behavior...
30 KB (4,520 words) - 18:43, 17 June 2025
Marilyn vos Savant (section Fermat's Last Theorem)
Last Theorem, Savant published the book The World's Most Famous Math Problem (October 1993), which surveys the history of Fermat's Last Theorem as well...
26 KB (3,151 words) - 07:25, 8 July 2025
inferential steps and often use various rules of inference to establish the theorem they intend to demonstrate. Rules of inference are definitory rules—rules...
66 KB (7,327 words) - 08:42, 9 June 2025
In mathematics, the Graham–Rothschild theorem is a theorem that applies Ramsey theory to combinatorics on words and combinatorial cubes. It is named after...
9 KB (1,220 words) - 02:58, 12 April 2025
rough estimate of biological condition of water bodies. Carlson's index was proposed by Robert Carlson in his 1977 seminal paper, "A Trophic State Index for...
21 KB (2,457 words) - 02:13, 6 July 2025
of algebraic geometry are fundamental in Wiles's proof of Fermat's Last Theorem, a problem that was stated in terms of elementary arithmetic, and remained...
101 KB (10,041 words) - 09:53, 17 July 2025
arithmetic mean with exponent p {\displaystyle p} . From the mean value theorem, there exists a value ξ in the interval between x and y where the derivative...
7 KB (1,184 words) - 13:49, 1 August 2025
Paul Wolfskehl (offered a cash prize for the solution to Fermat's Last Theorem) abc conjecture "Последнее "нет" доктора Перельмана". Interfax. July 1...
24 KB (2,626 words) - 22:53, 4 August 2025
antagonist in the 1977 James Bond film The Spy Who Loved Me Stein–Strömberg theorem in mathematics This disambiguation page lists articles associated with...
2 KB (210 words) - 07:30, 24 September 2023
between that of x and z. The duplication theorem can be used for a fast and robust evaluation of the Carlson symmetric form of elliptic integrals and...
14 KB (3,796 words) - 06:52, 27 July 2025
Hilbert transform (section Titchmarsh's theorem)
Chapter V. Titchmarsh 1948, Theorem 95. Titchmarsh 1948, Theorem 103. Titchmarsh 1948, Theorem 105. Duren 1970, Theorem 4.2. see King 2009a, § 4.22....
60 KB (8,169 words) - 19:09, 23 June 2025