Entire solutions of linear differential equations and bounds for growth and index numbers

DOI10.1017/S0308210500016115zbMath0508.34037OpenAlexW2316705273MaRDI QIDQ4746112

S. M. Shah

Publication date: 1983

Published in: Proceedings of the Royal Society of Edinburgh: Section A Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0308210500016115

zbMATH Keywords

growth boundentire solutionsindex boundsCoulomb-wave equation

Mathematics Subject Classification ID

Linear ordinary differential equations and systems (34A30) Growth and boundedness of solutions to ordinary differential equations (34C11) Singular perturbations of ordinary differential equations (34D15) Entire and meromorphic solutions to ordinary differential equations in the complex domain (34M05)

Related Items (4)

Univalence of a function f and its successive derivatives when f satisfies a differential equation ⋮ Entire solutions of nonhomogeneous differential equations ⋮ A note on meromorphic functions with finite order and of bounded \(l\)-index ⋮ Vector-valued entire functions satisfying a differential equation

Cites Work

• Bounded index, entire solutions of ordinary differential equations and summability methods
• The type of an entire function satisfying a linear differential equation
• An inequality involving the Bessel function and its derivatives
• Entire functions defined by gap power series and satisfying a differential equation
• On bounded value distribution and bounded index
• An Inequality Involving Derivatives
• Differential inequalities and local valency
• Unnamed Item

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