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...

Institute. Carlson's contributions to analysis include Carlson's theorem, the Polyá–Carlson theorem on rational functions, and Carlson's inequality (...

California, USA Carlson's patrol, USMC operation during Guadalcanal campaign Carlson Stadium, Decorah, Iowa, USA Carlson's theorem, uniqueness theorem about a...

(Daubechies wavelet filters) Binomial series Binomial theorem Binomial transform Binomial type Carlson's theorem Catalan number Fuss–Catalan number Central binomial...

of complex numbers are far more tightly constrained, and require Carlson's theorem to hold. Mahler, K. (1958), "An interpolation series for continuous...

(harmonic analysis) Carlson's theorem (complex analysis) Carmichael's theorem (Fibonacci numbers) Carnot's theorem (geometry) Carnot's theorem (thermodynamics)...

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}...

Newton form of the interpolation polynomial Bernstein polynomial Carlson's theorem Lebesgue constant The Chebfun system Table of Newtonian series Frobenius...

Hadamard product for cosine. Jensen's formula Carlson's theorem Exponential type Paley–Wiener theorem Wiman-Valiron theory If necessary, the logarithm...

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...

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...

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...

{\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...

short proof of this representation of the zeta function, based on Carlson's theorem, was presented by Philippe Flajolet in 2006. The asymptotic behavior...

Hermite interpolation Carlson's theorem Table of Newtonian series Dunham, William (1990). "7". Journey Through Genius: The Great Theorems of Mathematics. Kanak...

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...

Mathematical Monthly describing the theorem. Bôcher's theorem for rational functions "Carlson's proof of Marden's theorem" (PDF). Kalman, Dan (2008a), "An...

transform List of factorial and binomial topics Nörlund–Rice integral Carlson's theorem Philippe Flajolet and Robert Sedgewick, "Mellin transforms and asymptotics:...

{\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...

The fluctuation–dissipation theorem (FDT) or fluctuation–dissipation relation (FDR) is a powerful tool in statistical physics for predicting the behavior...

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...

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...

Paul Wolfskehl (offered a cash prize for the solution to Fermat's Last Theorem) abc conjecture Jaffe, Arthur M. (June–July 2006). "The Millennium Grand...

the Stockholm School of Economics. He is known for the Heckscher–Ohlin theorem, an influential model of international trade that predicts that capital-abundant...

000 prize for the first correct proof. Mordell (1922) proved Mordell's theorem: the group of rational points on an elliptic curve has a finite basis....

In mathematics, the Graham–Rothschild theorem is a theorem that applies Ramsey theory to combinatorics on words and combinatorial cubes. It is named after...

Chapter V. Titchmarsh 1948, Theorem 95. Titchmarsh 1948, Theorem 103. Titchmarsh 1948, Theorem 105. Duren 1970, Theorem 4.2. see King 2009a, § 4.22....

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...

gravitational force. Mathematically this is expressed using the virial theorem, which states that to maintain equilibrium, the gravitational potential...

completeness theorem in modal logic". Journal of Symbolic Logic. 24 (1): 1–14. doi:10.2307/2964568. JSTOR 2964568. S2CID 44300271. Carlson, Tim (February...