Value sharing of an entire function and its derivatives

• LI Ping

  Department of Mathematics The University of Science and Technology of China

• YANG Chung-Chun

  Department of Mathematics The Hong Kong University of Science and Technology

Abstract

In this paper, when an entire function f and the linear combination of its derivatives L(f) with small functions as its coefficients share one value CM and another value IM is studied. We also resolved the question when an entire function f and its derivative f^{'} share two values CM jointly. Some of the results remain to be valid if f is meromorphic and satisfying N(r, f)=o(T(r, f)) as r→∞ and the values a, b are replaced by small functions of f(z).

Journal

• Journal of the Mathematical Society of Japan

  Journal of the Mathematical Society of Japan 51 (4), 781-799, 1999

  The Mathematical Society of Japan

Keywords

• Entire function
• linear differential polynomial
• share values
• small function

Details

• CRID: 1390282680092732160
• NII Article ID: 10004480814
• NII Book ID: AA0070177X
• DOI: 10.2969/jmsj/05140781
• ISSN: 18811167
• ISSN: 18812333
• ISSN: 00255645
• MRID: 1705248
• NDL BIB ID: 4894915
• Web Site: https://ndlsearch.ndl.go.jp/books/R000000004-I4894915
• Text Lang: en
• Data Source:
  • JaLC
  • NDL
  • Crossref
  • CiNii Articles
• Abstract License Flag: Disallowed