Singular values and fixed points of family of generating function of Bernoullis numbersJournal of Nonlinear Sciences and Applications
Singular values and xed points of one parameter family of generating function of Bernoulli's numbers, g(z) = z ez–1 , 2 Rnf0g, are investigated. It is shown that the function g(z) has innitely many singular values and its critical values lie outside the open disk centered at origin and having radius . Further, the real xed points of g(z) and their nature are determined. The results found are compared with the functions tan z, E(z) = ez–1 z and f(z) = z z+4ez for > 0. c 2015 All rights reserved.
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