Growth Analysis of Wronskians in terms of Slowly Changing Functions

Abstract

In the paper we establish some new results depending on the comparative growth properties of composite entire or meromorphic functions using generalised L∗-order and generalised L∗-type and Wronskians generated by one of the factors.

Slowly changing function connected growth properties of wronskians generated by entire and meromorphic functions

“…the Wronskians. In the paper we establish some new results depending on the comparative growth properties of composite entire or meromorphic functions using generalised p L * -order with rate p, generalised p L * -type with rate p and generalised p L * -weak type with rate p and wronskians generated by one of the factors which extend some results of [2].…”

“…Definition 5 [8] The L * -order ρ L * f and the L * -lower order λ L * f of an entire function f are defined as [2] M (r, f) log re L(r) and λ L * f = lim inf r→∞ log [2] M (r, f) log re L(r) .…”

On the growth analysis of wronskians in the light of some generalized growth indicators

“…: Remark 1. For p = 1, Theorem 3 reduces to Theorem 14 of [5].…”

“…For p = 1, Theorem 30 reduces to Theorem 27 of[5].Similarly using the concept of the growth indicator state the subsequent four theorems without their proofs since those can be carried out in the line of Theorem 28, Theorem 29, Theorem 30 and Theorem 31 respectively.Theorem 32. Let f be a transcendental meromorphic function with P a6 =1…”