A Note on the -Extension of Bernoulli Numbers and Bernoulli Polynomials | Zendy

C. S. Ryoo | Zendy; T. Kim | Zendy

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A Note on the -Extension of Bernoulli Numbers and Bernoulli Polynomials

Author(s) -

C. S. Ryoo,

T. Kim

Publication year - 2010

Publication title -

discrete dynamics in nature and society

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.264

H-Index - 39

eISSN - 1607-887X

pISSN - 1026-0226

DOI - 10.1155/2010/807176

Subject(s) - extension (predicate logic) , bernoulli polynomials , bernoulli's principle , mathematics , bernoulli process , table (database) , bernoulli number , pure mathematics , discrete mathematics , combinatorics , difference polynomials , orthogonal polynomials , computer science , physics , data mining , thermodynamics , programming language

We observe the behavior of roots of the (h,q)-extension of Bernoulli polynomials Bn,q(h)(x). By means of numerical experiments, we demonstrate a remarkably regular structure of the complex roots of the q-extension of Bernoulli polynomials Bn,q(h)(x). The main purpose of this paper is also to investigate the zeros of the (h,q)-extension of Bernoulli polynomials Bn,q(h)(x). Furthermore, we give a table for the zeros of the (h,q)-extension of Bernoulli polynomials Bn,q(h)(x)

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