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searching for entire function 32 found (157 total)

Mittag-Leffler distribution (679 words) [view diff] exact match in snippet view article find links to article

}(z):=\sum _{n=0}^{\infty }{\frac {z^{n}}{\Gamma (1+\alpha n)}}} defines an entire function. For α = 0 {\displaystyle \alpha =0} , the series converges only on

Herbert Wilf (692 words) [view diff] exact match in snippet view article find links to article

MR 0120352. Wilf, Herbert S. (1961). "The argument of an entire function". Bull. Amer. Math. Soc. 67 (5): 488–489. doi:10.1090/s0002-9904-1961-10649-6

Mohinder Singh Randhawa (983 words) [view diff] exact match in snippet view article find links to article

India was on the eve of independence. In 1947 he was in charge of the entire function where Jawaharlal Nehru delivered his famous Tryst with destiny speech

Joseph Ritt (638 words) [view diff] case mismatch in snippet view article find links to article

Note on the Resolution into Partial Fractions of the Reciprocal of an Entire Function of Genus Zero (1917) Doctoral advisor Edward Kasner Doctoral students

Bernstein's problem (689 words) [view diff] exact match in snippet view article find links to article

f}{\partial x_{j}}}\right)^{2}}}}=0} Bernstein's problem asks whether an entire function (a function defined throughout Rn−1 ) that solves this equation is

Related rates (1,674 words) [view diff] exact match in snippet view article find links to article

{d}{dt}}\left(x^{2}+y^{2}\right)^{1/2}} Apply derivative operator to entire function = 1 2 ( x 2 + y 2 ) − 1 / 2 d d t ( x 2 + y 2 ) {\displaystyle ={\frac

Bloch's theorem (complex analysis) (1,165 words) [view diff] exact match in snippet view article

following theorem of Georges Valiron: Theorem. If f is a non-constant entire function then there exist disks D of arbitrarily large radius and analytic functions

Poppins (728 words) [view diff] exact match in snippet view article find links to article

Ramakrishnan by Jayasurya. East Coast Vijayan had coordinated the entire function that was held on 24 Nov 2012. Nithya Menon sings the Malayalam version

Free variables and bound variables (4,226 words) [view diff] exact match in snippet view article find links to article

clarifies that the operator D {\displaystyle D} is applied to the entire function x ↦ x 2 + 2 x + 1 {\displaystyle x\mapsto x^{2}+2x+1} , rather than

Fetch-and-add (870 words) [view diff] exact match in snippet view article find links to article

fetch-and-add instruction behaves like the following function. Crucially, the entire function is executed atomically: no process can interrupt the function mid-execution

Infinite derivative gravity (2,564 words) [view diff] exact match in snippet view article find links to article

◻ ) {\displaystyle F_{i}(\Box )} s) must be the exponential of an entire function. A lower bound was obtained on the mass scale of IDG using experimental

Coupling constant (2,871 words) [view diff] exact match in snippet view article find links to article

scalar field couples to the Ricci scalar. This field is therefore an entire function worth of coupling constants. These coupling constants are not pre-determined

Fourier series (11,251 words) [view diff] exact match in snippet view article find links to article

/2)}\end{aligned}}} Fortunately, it is not necessary to evaluate this entire function, because its derivative is zero at the maximum: X ′ ( φ ) = sin ⁡ (

Phasor (4,995 words) [view diff] exact match in snippet view article find links to article

vector in the complex plane. It is sometimes convenient to refer to the entire function as a phasor, as we do in the next section. Multiplication of the phasor

Peter Pagé (512 words) [view diff] case mismatch in snippet view article find links to article

several cycles over many years. In 1990, he designed and implemented Entire Function Server Architecture (ENTIRE), the first service-oriented architecture

Zero-based budgeting (2,511 words) [view diff] exact match in snippet view article find links to article

a ZBB process and a sunset review process. In a sunset review, the entire function is eliminated unless evidence is provided of program effectiveness

Kumar Bangarappa (1,757 words) [view diff] exact match in snippet view article find links to article

reacted adversely during the last rites, it would have disrupted the entire function. My relatives could have doused the situation, but they did not. As

Functional derivative (5,327 words) [view diff] exact match in snippet view article find links to article

{\displaystyle F[\rho (x)]} changes as a result of a small change in the entire function ρ ( x ) {\displaystyle \rho (x)} . The particular form of the change

Scope (computer programming) (10,553 words) [view diff] exact match in snippet view article

causes it to be declared local to the function, hence its scope is the entire function, and thus using it prior to this assignment raises an error. This differs

Riesz–Thorin theorem (6,117 words) [view diff] exact match in snippet view article find links to article

{\textstyle z} . We readily see that Φ ( z ) {\textstyle \Phi (z)} is an entire function, bounded on the strip 0 ≤ R e ⁡ z ≤ 1 {\textstyle 0\leq \operatorname

Li's criterion (1,506 words) [view diff] exact match in snippet view article find links to article

-1|<|\rho |\Leftrightarrow Re(\rho )>1/2} . Then, starting with an entire function f ( s ) = ∏ ρ ( 1 − s ρ ) {\displaystyle f(s)=\prod _{\rho }{\left(1-{\frac

Bloch's principle (896 words) [view diff] exact match in snippet view article find links to article

converges locally uniformly in C n {\displaystyle C^{n}} to a non-constant entire function g {\displaystyle g} satisfying g ♯ ( z ) ≤ g ♯ ( 0 ) = 1 {\displaystyle

Ramanujan–Petersson conjecture (3,452 words) [view diff] exact match in snippet view article find links to article

exactly for cusp forms this series has an analytic continuation to an entire function. This shows that Ramanujan-Petersson conjecture fails for non-cusp

Selberg class (3,201 words) [view diff] exact match in snippet view article find links to article

{\overline {a_{n}}}{n^{s}}}} satisfies axioms and is also in S. If F is entire function in S, then F ( s + i t ) {\textstyle F(s+it)} for t ∈ R {\textstyle

Distribution (mathematical analysis) (21,667 words) [view diff] exact match in snippet view article

^{n}} to R n , {\displaystyle \mathbb {R} ^{n},} the restriction of an entire function of exponential type in C n {\displaystyle \mathbb {C} ^{n}} to R n

Digamma function (7,244 words) [view diff] exact match in snippet view article find links to article

function ψ ( z ) / Γ ( z ) {\displaystyle \psi (z)/\Gamma (z)} is an entire function, and it can be represented by the infinite product ψ ( z ) Γ ( z )

Cauchy's estimate (1,157 words) [view diff] exact match in snippet view article find links to article

for example, we obtain Liouville's theorem, which says a bounded entire function is constant (indeed, let r → ∞ {\displaystyle r\to \infty } in the

Fox–Wright function (1,729 words) [view diff] exact match in snippet view article find links to article

0)\end{matrix}};z\right)} denotes the Fox–Wright Psi function. The entire function W λ , μ ( z ) {\displaystyle W_{\lambda ,\mu }(z)} is often called

Indefinite sum (4,457 words) [view diff] exact match in snippet view article find links to article

fundamental result in complex analysis states that a non‑constant 1‑periodic entire function must have exponential type at least 2 π {\displaystyle 2\pi } . This

Singular integral operators of convolution type (12,883 words) [view diff] exact match in snippet view article find links to article

compact support in (0,∞). But the Fourier transform f extends to an entire function F on C, which is bounded on Im(z) ≥ 0. The same is true of the derivatives

Absolutely and completely monotonic functions and sequences (1,417 words) [view diff] exact match in snippet view article find links to article

not only analytic on the real line but is even the restriction of an entire function to the real line. Bernstein's theorem on monotone functions: A function

Alternatives to general relativity (15,208 words) [view diff] exact match in snippet view article find links to article

)R\right)} where F ( ◻ ) {\displaystyle F(\Box )} is the exponential of an entire function of the D'Alembertian operator. This avoids a black hole singularity