On normalized tails of series expansion of generating function of Bernoulli numbers
Guizhi Zhang, Zhen-Hang Yang, Feng Qi
Abstract
In the paper, the authors present the positivity and decreasing property of the normalized tails of the series expansion of the generating function of the classical Bernoulli numbers and prove the increasing property of the ratio between two normalized tails of the series expansion of the generating function of the classical Bernoulli numbers by showing the increasing property of the ratio between two Bernoulli polynomials.
Topics & Concepts
Series (stratigraphy)Generating functionBernoulli's principleMathematicsFunction (biology)Bernoulli numberStatistical physicsCombinatoricsPhysicsBiologyEvolutionary biologyPaleontologyThermodynamicsAdvanced Mathematical IdentitiesMathematical functions and polynomials