saddle-point method

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Quadratic Hermite – Padé Approximants of Exponential Functions

The paper deals with extremal properties of diagonal quadratic Hermite – Pad’e approximants of type I for exponential system  {eλjz}2j =0 with arbitrary real λ0, λ1, λ2. Proved theorems complement known results of P. Borwein, F. Wielonsky.