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In 1926, the famous mathematician Rolf Nevanlinna introduced the value distribution theory for meromorphic functions in the field of complex analysis, which includes the theory of entire functions as a special case. The value distribution theory deals with the various features of the performance of entire and meromorphic functions, one of which is the study of comparative growth properties. A special type of functions, called slowly increasing functions, introduced the Serbian mathematician Jovan Karamata in 1930. In this book, the authors have tried to study about some growth analysis of integer translated composite entire and meromorphic functions with the effect of slowly increasing function and obtained some significant results.
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