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Unicity on Entire Function Concerning Its Differential-Difference Operators
Results in Mathematics, 2020In this paper, we study the uniqueness of entire function and its differential-difference operators. We prove the following result: let f be a transcendental entire function of finite order, let η\documentclass[12pt]{minimal} \usepackage{amsmath ...
Xiaohuang Huang
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ON RAYS OF COMPLETELY REGULAR GROWTH OF AN ENTIRE FUNCTION
, 1969This paper solves the problem of approximating a function, subharmonic in the entire plane, in a neighborhood of infinity by the logarithm of the modulus of an entire function.
V. Azarin
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Representation of entire functions [PDF]
, 1958 In this chapter we consider the representation of entire functions by series of generalized Appell polynomials. First we shall see how the class of functions that can be represented, and the number of expansions of a given function, depend on properties of the functions A, Ψ and g.
R. Creighton Buck, Ralph P. Boas
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Entire and Meromorphic Functions [PDF]
, 1985 A function is said to be entire if it is analytic on all of C. It is said to be meromorphic if it is analytic except for isolated singularities which are poles. In this chapter we describe such functions more closely. We develop a multiplicative theory for entire functions, giving factorizations for them in terms of their zeros, just as a polynomial ...
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The Periodicity on a Transcendental Entire Function with its Differential Polynomials
Analysis Mathematica, 2021Y. Wei, K. Liu, X. Liu
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ON THE DECOMPOSITION OF AN ENTIRE FUNCTION OF FINITE ORDER INTO FACTORS HAVING GIVEN GROWTH
, 1973In this paper the following result is proved: Theorem. Let ?i, i = 1,?, n, be given such that ?i>0 and ??i = 1. Then any entire function of finite order ? can be presented as a product of factors such that as z??, z outside a C0-set.
V. Azarin
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, 2004
In this paper, we investigate the conjecture of R. Br\"{u}ck, and prove that the conjecture of R. Br\"{u}ck holds for entire functions of infinite order and hyper order less than $\frac{1}{2}.$
Zong-Xuan Chen, K. Shon
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In this paper, we investigate the conjecture of R. Br\"{u}ck, and prove that the conjecture of R. Br\"{u}ck holds for entire functions of infinite order and hyper order less than $\frac{1}{2}.$
Zong-Xuan Chen, K. Shon
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