Various Structures of the Roots and Explicit Properties of q -cosine Bernoulli Polynomials and q -sine Bernoulli Polynomials

Jung Yoog Kang and Chen Seoung Ryoo
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Jung Yoog Kang: Department of Mathematics Education, Silla University, Busan 46958, Korea
Chen Seoung Ryoo: Department of Mathematics, Hanman University, Daejeon 34430, Korea

Mathematics, 2020, vol. 8, issue 4, 1-18

Abstract: In this paper, we define cosine Bernoulli polynomials and sine Bernoulli polynomials related to the q -number. Furthermore, we intend to find the properties of these polynomials and check the structure of the roots. Through numerical experimentation, we look for various assumptions about the polynomials above.

Keywords: q -cosine Bernoulli polynomials; q -sine Bernoulli polynomials; q -numbers; q -trigonometric function (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2020
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