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

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Department of Mathematics Education, Silla University, Busan 46958, Korea
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Department of Mathematics, Hanman University, Daejeon 34430, Korea
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Author to whom correspondence should be addressed.
Mathematics 2020, 8(4), 463; https://doi.org/10.3390/math8040463 (registering DOI)
Received: 20 February 2020 / Revised: 17 March 2020 / Accepted: 20 March 2020 / Published: 25 March 2020
(This article belongs to the Special Issue Special Functions and Applications)
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 q-cosine Bernoulli polynomials; q-sine Bernoulli polynomials; q-numbers; q-trigonometric function
MDPI and ACS Style

Kang, J.Y.; Ryoo, C.S. Various Structures of the Roots and Explicit Properties of q-cosine Bernoulli Polynomials and q-sine Bernoulli Polynomials. Mathematics 2020, 8, 463.

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