Singular values and fixed points of family of generating function of Bernoulli’s numbers
نویسندگان
چکیده
Singular values and fixed points of one parameter family of generating function of Bernoulli’s numbers, gλ(z) = λ z ez−1 , λ ∈ R\{0}, are investigated. It is shown that the function gλ(z) has infinitely many singular values and its critical values lie outside the open disk centered at origin and having radius λ. Further, the real fixed points of gλ(z) and their nature are determined. The results found are compared with the functions λ tan z, Eλ(z) = λ ez−1 z and fλ(z) = λ z z+4e z for λ > 0. c ©2015 All rights reserved.
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