Sentence examples for be two analytic functions from inspiring English sources
Let f and g be two analytic functions in the open unit disk Δ = { z ∈ C : | z | < 1 }.
Theorem 2.2 Let U and V be two analytic functions which have power series representations at z = 0 with radii of convergence R 1 and R 2, respectively, and R = min { R 1, R 2 }.
The aim is to find two analytic functions, and (a sectionally analytic function ), in the left and right complex semi-planes, respectively, such that the boundary condition is satisfied.
The concept of the Hadamard product (or the convolution) of two analytic functions is very useful in our present study.
The convolution or the Hadamard product of two analytic functions and is given by (1.3).
The Hadamard product (or convolution) of two analytic functions (1.2). is defined by the series (1.3).
Let X and Y be two spaces of analytic functions in the disk, with X⊂Y.
Panseq could identify single nucleotide polymorphism on core genome and strain's specific region (Laing et al., 2010), and PGAP was designed to perform five analytic functions with only one command (Zhao et al., 2012).
The three analytic functions.
If X⊂Y are two classes of analytic functions in the unit disk D and θ is an inner function, θ is said to be (X,Y -improving, if every function f∈X,Y -improvingθ∈Y must actually satiffy fθ∈X.
