analytic function


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analytic function

[‚an·əl′id·ik ′fuŋk·shən]
(mathematics)
A function which can be represented by a convergent Taylor series. Also known as holomorphic function.
References in periodicals archive ?
for unbounded G, where f is an analytic function on G with known boundary values on [GAMMA].
This class is called convex class of analytic function.
In [7], the following Carleman boundary value problem for analytic functions is given: Problem [C.
H](n) we may express the analytic functions h and g as
Srivastava, The Hardy space of analytic functions associated with certain one-parameter families of integral operators, J.
Theorem 1 Let f be an analytic function on the circle [K.
1 provides sufficient conditions to ensure that all the roots of a polynomial Q (y) are contained in the range of an analytic function y (z) when there exists another polynomial P(z), of the same degree as Q (y), such that P(z) = Q (y(z)) in a neighborhood of z = 0.
Throughout this paper, we assume that [phi] is an analytic function in D of the form
3, there exists an analytic function p [member of] P in the unit disc E with p(O) = 1 and [Real part]{p(z)}>0 such that
In the present investigation, we obtain sufficient conditions for a function containing Noor Integral operator of normalized analytic function f, by applying a method based on the differential subordination,