# Few results in connection with sum and product theorems of relative   $(p,q)$-$\varphi$ order, relative $(p,q)$-$\varphi$ type and relative   $(p,q)$-$\varphi$ weak type of meromorphic functions with respect to entire   functions

**Authors:** Tanmay Biswas

arXiv: 1905.05954 · 2019-05-16

## TL;DR

This paper explores the properties of sum and product operations on various relative growth measures of meromorphic functions compared to entire functions, focusing on their $(p,q)$-$\

## Contribution

It introduces new results connecting sum and product theorems with relative $(p,q)$-$\varphi$ growth measures of meromorphic functions.

## Key findings

- Established basic properties of relative $(p,q)$-$\varphi$ order.
- Derived sum and product relations for relative $(p,q)$-$\varphi$ type.
- Analyzed weak type behaviors in relation to entire functions.

## Abstract

Orders and types of entire and meromorphic functions have been actively investigated by many authors. In the present paper, we aim at investigating some basic properties in connection with sum and product of relative $(p,q)$-$\varphi$ order, relative $(p,q)$-$\varphi$ type, and relative $(p,q)$-$\varphi$ weak type of meromorphic functions with respect to entire functions.

## Full text

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## References

12 references — full list in the complete paper: https://tomesphere.com/paper/1905.05954/full.md

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Source: https://tomesphere.com/paper/1905.05954