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ON THE DEFICIENCY SUMS OF MEROMORPHIC FUNCTIONS AND THEIR DERIVATIVES IN OZAWA'S PROBLEM

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Abstract

It was shown by R Nevanlinna that k(X) is positive, when f ranges over all meromorphic functions of positive non-integral order A. Here Let f be a meromorphic function of finite order A. Ozawa proved with a positive constant d satisfying . We shown that (*) hold still when d satisfies . In this paper, me prove a more exact and general result: Let / be a meromorphic function of finite order A. Then, for any positive integer n, with a positive constant d - d(n, λ) satisfying

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It was shown by R Nevanlinna that k(X) is positive, when f ranges over all meromorphic functions of positive non-integral order A. Here Let f be a meromorphic function of finite order A. Ozawa proved with a positive constant d satisfying . We shown that (*) hold still when d satisfies . In this paper, me prove a more exact and general result: Let / be a meromorphic function of finite order A. Then, for any positive integer n, with a positive constant d - d(n, λ) satisfying

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Available abstract

It was shown by R Nevanlinna that k(X) is positive, when f ranges over all meromorphic functions of positive non-integral order A. Here Let f be a meromorphic function of finite order A. Ozawa proved with a positive constant d satisfying . We shown that (*) hold still when d satisfies . In this paper, me prove a more exact and general result: Let / be a meromorphic function of finite order A. Then, for any positive integer n, with a positive constant d - d(n, λ) satisfying

Key concepts: Meromorphic function, Mathematics, Order (exchange), Constant (computer programming), Integer (computer science), Function (biology), Pure mathematics, Algebra over a field

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ON THE DEFICIENCY SUMS OF MEROMORPHIC FUNCTIONS AND THEIR DERIVATIVES IN OZAWA'S PROBLEM — Research Paper | ScholarLens