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.

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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
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article

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

Chinmay Ghosh, Anirban Bandyopadhyay
Ural mathematical journal
Meromorphic and Entire Functions
article

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

Chinmay Ghosh, Anirban Bandyopadhyay
article en

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.

Ural mathematical journalVol. 11(2)
Kazi Nazrul University (IN)
Openalex Percentile: Top 22%
Meromorphic and Entire Functions
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