Korean J. Math.  Vol 26, No 2 (2018)  pp.215-269
DOI: https://doi.org/10.11568/kjm.2018.26.2.215

Some results relating to sum and product theorems of relative $\left(p,q,t\right) L$-th order and relative $\left( p,q,t\right) L$-th type of entire functions

Tanmay Biswas

Abstract


Orders and types of entire functions have been actively investigated by many authors. In this paper, we investigate some basic properties in connection with sum and product of relative $\left( p,q,t\right) L${-th order, relative }$\left( p,q,t\right) L${-th type, and relative }$ \left( p,q,t\right) L${-th weak type of entire functions with respect to another entire function where }$p,q\in \mathbb{N} ${ \ and }$t\in \mathbb{N} \cup \left\{ -1,0\right\} $.

Keywords


Entire function, relative $\left( p,q,t\right) L$-th order, relative $\left(p,q,t\right) L$-th type, relative $\left( p,q,t\right) L$ -th weak type, Property (A).

Subject classification

30D20, 30D30, 30D35

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References


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