The Journal of the Indian Mathematical Society

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Composite Meromorphic Functions


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1 University of Madras, India
     

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Polya has considered the conditions under which an integral function of an integral function is an integral function of finite order. He proves the following results:

(1.1) the internal function is a polynomial and the external function is of finite order; or

(1.2) the internal function is an integral function of finite order in which case the external function is of zero order. In this paper it is proposed to extend these results to Meromorphic Functions and to investigate the order of the composite function, given the orders of the individual function.


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  • Composite Meromorphic Functions

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Authors

K. S. Suryanarayanan
University of Madras, India

Abstract


Polya has considered the conditions under which an integral function of an integral function is an integral function of finite order. He proves the following results:

(1.1) the internal function is a polynomial and the external function is of finite order; or

(1.2) the internal function is an integral function of finite order in which case the external function is of zero order. In this paper it is proposed to extend these results to Meromorphic Functions and to investigate the order of the composite function, given the orders of the individual function.