지원사업
학술연구/단체지원/교육 등 연구자 활동을 지속하도록 DBpia가 지원하고 있어요.
커뮤니티
연구자들이 자신의 연구와 전문성을 널리 알리고, 새로운 협력의 기회를 만들 수 있는 네트워킹 공간이에요.
초록· 키워드
오류제보하기
Let h be a meromorphic function with few poles and zeros. By Nevanlinna's value distribution theory we prove some new properties on the polynomials in h with the coefficients being small functions of h. We prove that if f is a meromorphic function and if f^m is identically a polynomial in h with the constant term not vanish identically, then f is a polynomial in h. As an application, we are able to find the entire solutions of the differential equation of the type f^n+P(f)=be^sz+Q(e^z), where P(f) is a differential polynomial in f of degree at most n-1, and Q(e^z) is a polynomial in e^z of degree k ≤max{n-1,s(n-1)/n} with small functions of e^z as its coefficients.
목차
등록된 정보가 없습니다.
참고문헌 (11)
참고문헌 신청
A. Mohon'ko / 1971 / The Nevanlinna characteristics of certain meromorphic functions / Teor. Funkcii Funkcional. Anal. i Prilozen (14) : 83 ~ 87
C.-C. Yang / 2003 / Theory of Meromorphic Functions, In Mathematics and its Applications / Kluwer Academic Publishers Group : 557 ~
G. Brosch / 1989 / Eindeutigkeitssatze fur meromorphe Funktionen / Technical Univer-sity of Aachen
G. Jank / 1991 / Meromorphic functions sharing three values / Math. Pannon 2 (2) : 37 ~ 46
G. Weissenborn / 1986 / On the theorem of Tumura and Clunie / Bull. London Math. Soc 18 (4) : 371 ~ 373
C.-C. Yang / 2003 / Theory of Meromorphic Functions, In Mathematics and its Applications / Kluwer Academic Publishers Group : 557 ~
G. Brosch / 1989 / Eindeutigkeitssatze fur meromorphe Funktionen / Technical Univer-sity of Aachen
G. Jank / 1991 / Meromorphic functions sharing three values / Math. Pannon 2 (2) : 37 ~ 46
G. Weissenborn / 1986 / On the theorem of Tumura and Clunie / Bull. London Math. Soc 18 (4) : 371 ~ 373
이 논문의 저자 정보
최근 본 자료
댓글(0)
0