A class of polynomials and connections with Bernoulli's numbers

DOI10.1007/S41478-018-0116-3zbMath1473.11054OpenAlexW2824182245WikidataQ115058625 ScholiaQ115058625MaRDI QIDQ2275059

Yilmaz Simsek, Vladica S. Stojanović, Gradimir V. Milovanović

Publication date: 2 October 2019

Published in: The Journal of Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s41478-018-0116-3

zbMATH Keywords

generating functionrecurrence relationBernoulli numbersalgebraic polynomialreal zeros

Mathematics Subject Classification ID

Bernoulli and Euler numbers and polynomials (11B68) Real polynomials: location of zeros (26C10) Special sequences and polynomials (11B83) Real polynomials: analytic properties, etc. (26C05)

Related Items (4)

Formulas for special numbers and polynomials derived from functional equations of their generating functions ⋮ Recurrence relations, associated formulas, and combinatorial sums for some parametrically generalized polynomials arising from an analysis of the Laplace transform and generating functions ⋮ New computational formulas for special numbers and polynomials derived from applying trigonometric functions to generating functions ⋮ Unnamed Item

Cites Work

• A unified presentation of three families of generalized Apostol type polynomials based upon the theory of the umbral calculus and the umbral algebra
• \(q\)-Bernoulli numbers and polynomials associated with multiple \(q\)-zeta functions and basic \(L\)-series
• Twisted \((h,q)\)-Bernoulli numbers and polynomials related to twisted \((h,q)\)-zeta function and \(L\)-function
• The split-SV model
• Distributional properties and parameters estimation of GSB Process: An approach based on characteristic functions
• Some formulas for Apostol-Euler polynomials associated with Hurwitz zeta function at rational arguments
• Gaussian quadrature involving Einstein and Fermi functions with an application to summation of series
• Bernoulli Numbers and Zeta Functions
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