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Infinite Order of Growth of Solutions of Second Order Linear Differential Equations


     

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We consider the di?erential equation f'' +A(z)f' +B(z)f = 0, where A(z) and B(z) are entire complex functions. We improve various restrictions on coe?cients A(z) and B(z) and prove that all non-trivial solutions are of in?nite order.


Keywords

Entire Function, Order of Growth, Complex Differential Equation, Fabry Gap and Fejer Gap.
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  • Infinite Order of Growth of Solutions of Second Order Linear Differential Equations

Abstract Views: 232  |  PDF Views: 0

Authors

Naveen Mehra
, India
V. P. Pande
, India

Abstract


We consider the di?erential equation f'' +A(z)f' +B(z)f = 0, where A(z) and B(z) are entire complex functions. We improve various restrictions on coe?cients A(z) and B(z) and prove that all non-trivial solutions are of in?nite order.


Keywords


Entire Function, Order of Growth, Complex Differential Equation, Fabry Gap and Fejer Gap.

References





DOI: https://doi.org/10.18311/jims%2F2022%2F26751