کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4663779 1345275 2013 12 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
On properties of meromorphic solutions for Complex Difference Equation of Malmquist type
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات (عمومی)
پیش نمایش صفحه اول مقاله
On properties of meromorphic solutions for Complex Difference Equation of Malmquist type
چکیده انگلیسی

In this paper, we present the properties on zeros, fixed points, poles, Borel exceptional value of finite order transcendental meromorphic solutions of complex difference equationof Malmquist type ∑j=1nf(z+cj)=R(f(z))=P(f(z))Q(f(z))=apf(z)p+ap−1f(z)p−1+⋯+a1(f(z)+a0bqf(z)q+aq−1f(z)q−1+⋯+b1(f(z)+b0, where n(∈ ℕ) ≥ 2),n(∈ ℕ) ≥ 2),P(f(z)) and Q(f(z)) are relatively prime polynomials in f(z) with rational coefficients as (s = 0, 1, …, p) and bt (t = 0, 1, …, q) such that a0apbq ≢ 0, and also consider the existence and the forms on rational solutions of this type of difference equations. Some examples are also listed to show that the assumptions of theorems, in certain senses, are the best possible.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Acta Mathematica Scientia - Volume 33, Issue 4, July 2013, Pages 1141–1152
نویسندگان
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