In:
AIMS Mathematics, American Institute of Mathematical Sciences (AIMS), Vol. 7, No. 1 ( 2021), p. 276-287
Abstract:
〈abstract〉〈p〉This paper is devoted to studying the transcendental directions of entire solutions of $ f^{(n)}+A_{n-1}f^{(n-1)}+...+A_0f = 0 $, where $ n(\geq 2) $ is an integer and $ A_i(z)(i = 0, 1, ..., n-1) $ are entire functions of finite lower order. With some additional conditions, the set of common transcendental directions of non-trivial solutions, their derivatives and their primitives must have a definite range of measure. Moreover, we obtain the lower bound of the measure of the set defined by the common transcendental directions of Jackson difference operator of non-trivial solutions.〈/p〉〈/abstract〉
Type of Medium:
Online Resource
ISSN:
2473-6988
DOI:
10.3934/math.2022018
Language:
Unknown
Publisher:
American Institute of Mathematical Sciences (AIMS)
Publication Date:
2021
detail.hit.zdb_id:
2917342-5
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