GROWTH OF POLYNOMIALS GENERATED BY LINEARLY INDEPENDENT SOLUTIONS OF SECOND ORDER LINEAR DIFFERENTIAL EQUATIONS IN TERMS OF ITERATED \(p- \phi\) ORDER

Anirban Bandyopadhyay     (Department of Mathematics, Kazi Nazrul University, Asansol, 713340, West Bengal, India)
Chinmay Ghosh     (Department of Mathematics, Kazi Nazrul University, Asansol, 713340, West Bengal, India)

Abstract


In this article, we have studied some properties of the growth and oscillation of polynomials generated by linearly independent solutions of the second order linear differential equation \(f^{\prime \prime }+A(z)f=0\) where \(A(z)\) is a meromorphic function. Here we extend and improve some of the previous results of Z. Latreuch and B. Belaïdi (2013), M.A. Abdellaouia and B. Belaïdi (2020) and others in terms of iterated \(p-\phi\) order and iterated \(p-\phi\) exponent of convergence.


Keywords


Linear differential equation, meromorphic solution, iterated p-φ order, finiteness degree of the φ order, iterated p-φ exponent of convergence

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References


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DOI: http://dx.doi.org/10.15826/umj.2025.2.003

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