A note of the modified Bernoulli polynomials and it’s the location of the roots. (English) Zbl 1463.11070

Summary: This type of polynomial is a generating function that substitutes \(e^{\lambda t}\) for \(e^t\) in the denominator of the generating function for the Bernoulli polynomial, but polynomials by using this generating function have interesting properties involving the location of the roots. We define these generating functions and observe the properties of the generating functions.


11B68 Bernoulli and Euler numbers and polynomials
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