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ASYMPTOTIC BEHAVIOR AND ZEROS OF HYPERGEOMETRIC BERNOULLI POLYNOMIALS OF ORDER 2
JP journal of algebra, number theory and applications (2021)
  • Nasir Asfaw
  • Abdul Hassen
Abstract
So far Bernoulli polynomials,  are studied by many people for their interesting properties. Several authors considered different generalizations of  and obtained some analogous properties. Hassen and Nguyen in [10] introduced a generalization of  called hypergeometric Bernoulli polynomials of order N,  These polynomials, when  are given by
For Bernoulli polynomials, Mangual [18] studied about their asymptotic behavior and how the complex zeros of the re-scaled polynomials  behave, for large values of n. After reading what Mangual [18] did for  we studied analogous concepts for the polynomials 
In this paper, we discuss some asymptotic behavior of  analogous to that of  We briefly describe the asymptotic complex zeros of  by presenting a curve to which the zeros are attracted as n goes to infinity.
Publication Date
January 20, 2021
DOI
10.17654/NT049010051
Citation Information
Nasir Asfaw and Abdul Hassen. "ASYMPTOTIC BEHAVIOR AND ZEROS OF HYPERGEOMETRIC BERNOULLI POLYNOMIALS OF ORDER 2" JP journal of algebra, number theory and applications Vol. 49 Iss. 1 (2021) p. 51 - 75
Available at: http://works.bepress.com/abdul-hassen/11/
Creative Commons license
Creative Commons License
This work is licensed under a Creative Commons CC_BY International License.