2 citations · 11 across the 13 of their papers we have counts for
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The Bounded Analytic Hyper-operators
James D. Nixon
In a previous paper \cite{ref1} we produced a sequence of analytic functions when and was in the right half of the complex…
Complex Iterations of Entire Functions
James D. Nixon
In a previous paper we produced a complex iteration of a holomorphic function in the immediate basin of a fixed point whose multiplier is a real number and in between zero and…
On The Indefinite Sum In Fractional Calculus
James Nixon
We present a theorem on taking the repeated indefinite summation of a holomorphic function in a vertical strip of satisfying exponential bounds as the imaginary…
Complex Iterations and Bounded Analytic Hyper-operators
James Nixon
We give a method of solution to the problem of iterating holomorphic functions to fractional or complex heights. We construct an auxiliary function from natural iterates of a holom…