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ON A CLASS OF MEROMORPHIC FUNCTIONS AND THEIR DERIVATIVES.

Chung-Chun Yang

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Abstract

Abstract : Let F be a meromorphic function with the order of F'/F less than 1/2, and the quotient (p(z) F double prime (z)-Q(z)F'(z))/F be a rational function for some polynomials p(z) and Q(z), where p(z) and Q(z) are not both identically zero. Then F(z) = P sub 1(z)/P sub 2 (z)) e to the power ((P sub 3)(z)), where P sub i(z), i = 1,2,3, are polynomials. (Author)

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Abstract : Let F be a meromorphic function with the order of F'/F less than 1/2, and the quotient (p(z) F double prime (z)-Q(z)F'(z))/F be a rational function for some polynomials p(z) and Q(z), where p(z) and Q(z) are not both identically zero. Then F(z) = P sub 1(z)/P sub 2 (z)) e to the power ((P sub 3)(z)), where P sub i(z), i = 1,2,3, are polynomials. (Author)

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Available abstract

Abstract : Let F be a meromorphic function with the order of F'/F less than 1/2, and the quotient (p(z) F double prime (z)-Q(z)F'(z))/F be a rational function for some polynomials p(z) and Q(z), where p(z) and Q(z) are not both identically zero. Then F(z) = P sub 1(z)/P sub 2 (z)) e to the power ((P sub 3)(z)), where P sub i(z), i = 1,2,3, are polynomials. (Author)

Key concepts: Meromorphic function, Mathematics, Quotient, Combinatorics, Order (exchange), Prime (order theory), Zero (linguistics), Class (philosophy)

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