About the Project
NIST

analyticity

AdvancedHelp

(0.001 seconds)

21—30 of 146 matching pages

21: 31.5 Solutions Analytic at Three Singularities: Heun Polynomials
§31.5 Solutions Analytic at Three Singularities: Heun Polynomials
is a polynomial of degree n , and hence a solution of (31.2.1) that is analytic at all three finite singularities 0 , 1 , a . …
22: 3.8 Nonlinear Equations
§3.8 Nonlinear Equations
This is an iterative method for real twice-continuously differentiable, or complex analytic, functions: …
§3.8(v) Zeros of Analytic Functions
Newton’s rule is the most frequently used iterative process for accurate computation of real or complex zeros of analytic functions f ( z ) . …
§3.8(vi) Conditioning of Zeros
23: 35.2 Laplace Transform
where the integration variable X ranges over the space Ω . … Then (35.2.1) converges absolutely on the region ( Z ) > X 0 , and g ( Z ) is a complex analytic function of all elements z j , k of Z . …
24: 3.12 Mathematical Constants
can be defined analytically in numerous ways, for example, …
25: 10.34 Analytic Continuation
§10.34 Analytic Continuation
26: 14.24 Analytic Continuation
§14.24 Analytic Continuation
27: 27.18 Methods of Computation: Primes
An analytic approach using a contour integral of the Riemann zeta function (§25.2(i)) is discussed in Borwein et al. (2000). …
28: Roderick S. C. Wong
29: 32.2 Differential Equations
be a nonlinear second-order differential equation in which F is a rational function of w and d w / d z , and is locally analytic in z , that is, analytic except for isolated singularities in . … in which a ( z ) , b ( z ) , c ( z ) , d ( z ) , and ϕ ( z ) are locally analytic functions. …
30: 4.14 Definitions and Periodicity
4.14.7 cot z = cos z sin z = 1 tan z .