Communications of the Korean Mathematical Society (대한수학회논문집)

Korean Mathematical Society (대한수학회)
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ON ZEROS AND GROWTH OF SOLUTIONS OF SECOND ORDER LINEAR DIFFERENTIAL EQUATIONS

  • Kumar, Sanjay (Department of Mathematics Deen Dayal Upadhyaya College University of Delhi) ;
  • Saini, Manisha (Department of Mathematics University of Delhi)
  • Received : 2018.11.26
  • Accepted : 2019.01.03
  • Published : 2020.01.31
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Abstract

For a second order linear differential equation f" + A(z)f' + B(z)f = 0, with A(z) and B(z) being transcendental entire functions under some restrictions, we have established that all non-trivial solutions are of infinite order. In addition, we have proved that these solutions, with a condition, have exponent of convergence of zeros equal to infinity. Also, we have extended these results to higher order linear differential equations.

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References

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