On the simpleness of zeros of Stokes multipliers |
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| Authors: | Trinh Duc Tai |
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| Affiliation: | a Department of Mathematics, Teacher-Training College of Dalat, 29 Yersin, Dalat, Vietnam
b The Abdus Salam International Centre for Theoretical Physics, Strada Costiera 11, Trieste 34014, Italy |
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| Abstract: | The aim of this paper is to discuss the simpleness of zeros of Stokes multipliers associated with the differential equation -Φ″(X)+W(X)Φ(X)=0, where W(X)=Xm+a1Xm-1+?+am is a real monic polynomial. We show that, under a suitable hypothesis on the coefficients ak, all the zeros of the Stokes multipliers are simple. |
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| Keywords: | ODEs in the complex domain Stokes multipliers Entire functions |
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