Hurwitz's Root Theorem
Let 
be a Sequence of Analytic Functions Regularin a region 
, and let this sequence be Uniformly Convergent in everyClosed Subset of . If the Analytic Function
does not vanish identically, then if
is a zero of 
of order 
, a Neighborhood 
of and a number 
exist such that if 
, 
has exactly zeros in .
References
Szegö, G. Orthogonal Polynomials, 4th ed. Providence, RI: Amer. Math. Soc., p. 22, 1975.
- Small Rhombidodecahedron
- Small Rhombihexacron
- Small Rhombihexahedron
- Small Snub Icosicosidodecahedron
- Small Stellapentakis Dodecahedron
- Small Stellated Dodecahedron
- Small Stellated Triacontahedron
- Small Stellated Truncated Dodecahedron
- Small Triakis Octahedron
- Small Triambic Icosahedron
- Small World Problem
- Smarandache Ceil Function
- Smarandache Constants
- Smarandache Function
- Smarandache-Kurepa Function
- Smarandache Near-to-Primorial Function
- Smarandache Paradox
- Smarandache Sequences
- Smarandache-Wagstaff Function
- Smith Brothers
- Smith Conjecture
- Smith Normal Form
- Smith Number
- Smith's Markov Process Theorem
- Smith's Network Theorem