The Journal of the Indian Mathematical Society

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A Note on the Zeros of Parabolic Cylinder Functions of the Second Kind


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1 A. M. College, Mymensingh, India
     

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The functions En(x) and En+m(x) have no common zeros, n+1 being not a negative integer, and m being a positive integer.

NOTE: By (4), the real axis is a cut for En(x) so that when we speak of the zeros of En(x) we mean only those lying in I(x)>0 and I(x)<0.


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  • A Note on the Zeros of Parabolic Cylinder Functions of the Second Kind

Abstract Views: 208  |  PDF Views: 0

Authors

Durga Prasad Banerjee
A. M. College, Mymensingh, India

Abstract


The functions En(x) and En+m(x) have no common zeros, n+1 being not a negative integer, and m being a positive integer.

NOTE: By (4), the real axis is a cut for En(x) so that when we speak of the zeros of En(x) we mean only those lying in I(x)>0 and I(x)<0.