On a Review of the Basic Taylor Series Theory with an Application to the Kinetic Equation | Asian...

Given an analytic function f on a disc (Z:| Z-Z0 |), the power series.The Taylor series of f at z0 converges to f on the specified disc and is known as the Taylor series of f at z0.On the basis of the foregoing, we looked at holomorphic Taylor series and presented a major result demonstrating that a power series represents a holomorphic function and the converse of its consequence, and as a result, we discovered that for a holomorphic function on G, wG, and -a positively oriented simple, closed, smooth, G-contractible curve with w inside,

The identity principle and maximum – modulus theorem were next addressed, followed by the application of the aforementioned to integral equations for homogeneous and nonlinear problems.

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