On Analytic Functions with Divergent Series of Taylor Coefficients

On the Taylor Coefficients of Rational Functions

On the Taylor Coefficients of the Composition of Two Analytic Functions

We give an asymptotic formula for the Taylor coeecients f n of f(z) = l(h(z)) where l(z) is analytic in the unit disc whose Taylor coeecients l n vary`smoothly' and h(z) is analytic in a larger disc. We show that under mild conditions on h(z) , f n l n] as n ! 1 where = 1=h 0 (1). Applications to renewal theory are also discussed.

Solving the liner quadratic differential equations with constant coefficients using Taylor series with step size h

In this study we produced a new method for solving regular differential equations with step size h and Taylor series. This method analyzes a regular differential equation with initial values and step size h. this types of equations include quadratic and cubic homogenous equations with constant coeffcients and cubic and second-level equations.

On Subclass of Analytic Univalent Functions Associated with Negative Coefficients

M. H. Al-Abbadi and M. Darus 2009 recently introduced a new generalized derivative operator μ λ1 ,λ2 , which generalizedmany well-known operators studied earlier by many different authors. In this present paper, we shall investigate a new subclass of analytic functions in the open unit disk U {z ∈ C : |z| < 1} which is defined by new generalized derivative operator. Some results on coefficient ...

On a class of analytic functions with missing coefficients

and Applied Analysis 3 2. The bounds on Ref ′ z , Re f z /z , and |f z | in Tn A,B, γ, α In this section, we let λm ( A,B, γ ) ⎧ ⎪ ⎪⎨ ⎪ ⎪⎩ m ∑ j 0 ⎛ ⎝ γ j ⎞ ⎠ ⎛ ⎝ −γ m − j ⎞ ⎠AjBm−j , ( A ≤ 1; 0 < γ < 1, A − B −B m−1, γ 1, 2.1