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We also estimate the growth order of entire solutions of a type system of a special algebraic differential equations.
In this paper, our aim is to make use of the concept of [ p, q ] − φ order of entire functions to investigate the growth, zeros of the solutions of equation (1.1).
In this article, by means of the normal family theory we estimate the growth order of entire solutions of some algebraic differential equations and improve the related results of Bergweiler, Barsegian, and others.
This notion of logarithmic order is a refinement order of entire functions of order zero which is used to study the growth of order of some basic hypergeometric series.
In Section 2, we study the existence of admissible meromorphic solutions of systems of complex difference equation (1.2), the problem of the order of entire solutions of systems of complex difference equation (1.3), and the form of transcendental meromorphic solutions of systems of complex difference equation (1.4), and obtain three theorems.
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But past suggestions required enormous energies (of the order of the entire output of the sun) to create a sufficiently intense beam.
But whether we're at 100 million or 136 million or something on the order of the entire population of the United States, the question is, what does it matter?
Nor is the data indicative of variation that is purely dictated by large scale reservoir variations – i.e. variation with a wavelength on the order of the entire horizontal part of the well.
They really are calling for a change in the economic order of the entire globe based upon that first chart.
The late dialogues, by contrast, display a growing tendency to see a unity between the microcosm of human life and the macrocosmic order of the entire universe.
The second main theorem is of estimating, more exactly, the order of an entire function sharing polynomial, which extends the related result of Lü, Xu and Chen (Arch. Math. 92: 593-601, 2009).
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