ASYMPTOTIC BEHAVIOR AND ZEROS OF HYPERGEOMETRIC BERNOULLI POLYNOMIALS OF ORDER 2

DOI10.17654/NT049010051zbMath1499.11096MaRDI QIDQ5073977

Nasir Asfaw, Abdul Hassen

Publication date: 6 May 2022

Published in: JP Journal of Algebra, Number Theory and Applications (Search for Journal in Brave)

zbMATH Keywords

Hurwitz zeta functionsBernoulli numbers and polynomialsasymptotic zeroshypergeometric Bernoulli polynomials

Mathematics Subject Classification ID

Bernoulli and Euler numbers and polynomials (11B68) Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45)

Cites Work

• The real zeros of the Bernoulli polynomials
• Asymptotics for the zeros of the partial sums of \(e^ z\). I
• On the zero attractor of the Euler polynomials
• Asymptotic behaviour of Bernoulli, Euler, and generalized Bernoulli polynomials
• A sequence of numbers related to the exponential function
• Some sequences of rational numbers related to the exponential function
• Appell Polynomials and Their Zero Attractors
• A Primer on Bernoulli Numbers and Polynomials
• Numbers Generated by the Reciprocal of e x - x - 1
• A ZERO-FREE REGION FOR HYPERGEOMETRIC ZETA FUNCTIONS
• HYPERGEOMETRIC ZETA FUNCTIONS
• THE ERROR ZETA FUNCTION
• HYPERGEOMETRIC BERNOULLI POLYNOMIALS AND APPELL SEQUENCES
• Arithmetic properties of Bernoulli-Padé numbers and polynomials.
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