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Explicit Bounds for Hermite Polynomials in the Oscillatory Region

  • William H. Foster (a1) and Ilia Krasikov (a2)

Abstract

We apply a method of positive quadratic forms based on polynomial inequalities to establish sharp explicit bounds on the envelope of Hermite polynomials in the oscillatory region |x| < (2k – 3/2)1/2.

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References

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