This paper studies elementary transcendental equations of the type z q pz q . z n q e q rz s 0, where p, q, r g β«,ήβ¬ , p ) 0, q G 0, r / 0, n s 0, 1, 2. We are mainly interested in the case n s 0 for which a characterization of stability is accomplished; that is, we state a necessary and sufficient
On quotients of exponential polynomials
β Scribed by Allen Shields
- Publisher
- John Wiley and Sons
- Year
- 1963
- Tongue
- English
- Weight
- 255 KB
- Volume
- 16
- Category
- Article
- ISSN
- 0010-3640
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π SIMILAR VOLUMES
A NOTE ON EXPONENTIAL POLYNOMIALS AND PRIME FACTORS by ROD MCBETH in London (England) Let p,, p 2 , p 3 , . . . denote the progression 2 , 3 , 5 , . . . of primes. The polynomials f of the class EP given in [l] can be correlated with functions p ( f ; -) which are based on the above progression. The
We obtain estimates of complete rational exponentials sums with sparse polynomials and rational functions f (x)=a 1 x r1 + } } } +a t x rt depending on the number of non zero coefficients t rather than on the degree.
Let 1 denote a bipartite Q-polynomial distance-regular graph with diameter D 4. We show that 1 is the quotient of an antipodal distance-regular graph if and only if one of the following holds. (i) 1 is a cycle of even length. (ii) 1 is the quotient of the 2D-cube. 1999 Academic Press \* , ..., %\
We investigate the polynomials P n , Q m , and R s , having degrees n, m, and s, respectively, with P n monic, that solve the approximation problem We give a connection between the coefficients of each of the polynomials P n , Q m , and R s and certain hypergeometric functions, which leads to a sim