POLISH ACADEMY of SCIENCES
TECHNICAL SCIENCES
| BULLETIN
of the
POLISH ACADEMY of SCIENCES TECHNICAL SCIENCES |
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| Volume
58, Issue 4, December 2010
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| Issue Index | Authors Index | Scope Index | Web Info | |
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| Aims&Scope, Subscription | Editors | Authors' guide | to read PDF files | mirror: http://fluid.ippt.gov.pl/~bulletin/ |
| pp 631 - 634 |
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Relations between roots and coefficients of the transcendental equations |
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| H. GORECKI and S. BIALAS |
| It is proved that there exist the relations between coefficients of the transcendental equations and the infinite number of their roots, similar to Vieta's formulae. These relations may be obtained for the entire analytic functions using theorems of residues and argument principle. In particular the meromorphic functions will be considered. |
| Key words: |
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transcendental equations, entire-meromorphic functions, roots, coefficients, residues, argument principle, quasipolynomials, principal term |
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| Issue Index | Authors Index | Scope Index | Web Info |
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| Aims&Scope, Subscription | Editors | Authors' guide | to read PDF files |
| Copyright ® Bulletin of the Polish Academy of Sciences: Technical Sciences |
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