GROWTH OF POLYNOMIALS GENERATED BY LINEARLY INDEPENDENT SOLUTIONS OF SECOND ORDER LINEAR DIFFERENTIAL EQUATIONS IN TERMS OF ITERATED \(p- \phi\) ORDER
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.
Authors
- Chinmay Ghosh (ORCID: https://orcid.org/0000-0003-3242-8952)
- Anirban Bandyopadhyay (ORCID: https://orcid.org/0000-0002-8823-4914)
Institutions
- Kazi Nazrul University (IN)
Publication Details
- Journal
- Ural mathematical journal
- Published
- 2025-12-27
- DOI
- https://doi.org/10.15826/umj.2025.2.003
- Primary Topic
- Meromorphic and Entire Functions
- Type
- article
- Field-Weighted Citation Impact
- 0.00