Geodesic
On localization of the zeroes Hermite--Pad\'e approximants to the exponential functions
Problemy fiziki, matematiki i tehniki, no. 3 (2015), pp. 84-89

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The upper estimates are determined for modules of the zeros of Hermite polynomials (Hermite–Padé approximation type I) of the exponential system $\{e^{\lambda_pz}\}_{p=0}^k$, where $\{\lambda_p\}_{p=0}^k$ are arbitrary complex numbers. The proven statements complement and gen- eralize known results about the behavior of the zeros of Hermite polynomials for exponential system $\{e^{pz}\}_{p=0}^k$ by E. Saff and R. Varga, H. Stahl, F. Wielonsky.
Keywords: exponential system, Hermite polynomials, Hermite–Padé approximation, zeros of Padé approximation. 
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     author = {A. P. Starovoitov and E. P. Kechko},
     title = {On localization of the zeroes {Hermite--Pad\'e} approximants to the exponential functions},
     journal = {Problemy fiziki, matematiki i tehniki},
     pages = {84--89},
     publisher = {mathdoc},
     number = {3},
     year = {2015},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/PFMT_2015_3_a14/}
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A. P. Starovoitov; E. P. Kechko. On localization of the zeroes Hermite--Pad\'e approximants to the exponential functions. Problemy fiziki, matematiki i tehniki, no. 3 (2015), pp. 84-89. http://geodesic.mathdoc.fr/item/PFMT_2015_3_a14/