Bijective Enumerations for Symmetrized Poly-Bernoulli Polynomials
نویسندگان
چکیده

 Recently, Bényi and the second author introduced two combinatorial interpretations for symmetrized poly-Bernoulli polynomials. In present study, we construct bijections between these objects. We also define various polynomials prove that all of coincide with polynomials.
منابع مشابه
Symmetrized Chebyshev Polynomials
We define a class of multivariate Laurent polynomials closely related to Chebyshev polynomials and prove the simple but somewhat surprising (in view of the fact that the signs of the coefficients of the Chebyshev polynomials themselves alternate) result that their coefficients are non-negative. As a corollary we find that Tn(c cos θ) and Un(c cos θ) are positive definite functions. We further s...
متن کاملA new class of generalized Laguerre-based poly-Bernoulli polynomials
A new class of generalized Laguerre-based poly-Bernoulli polynomials are discussed with an attempt to generate new and interesting identities, some are in relation with Stirling number of the second kind. Different analytical means and generating function method is incorporated to derive implicit summation formulae and symmetry identities for generalized Laguerre poly-Bernoulli polynomials. It ...
متن کاملA Note on Degenerate Hermite Poly–bernoulli Numbers and Polynomials
In this paper, we introduce a new class of degenerate Hermite poly-Bernoulli polynomials and give some identities of these polynomials related to the Stirling numbers of the second kind. Some implicit summation formulae and general symmetry identities are derived by using different analytical means and applying generating functions. These results extend some known summations and identities of d...
متن کاملThe Arakawa–kaneko Zeta Function and Poly-bernoulli Polynomials
The purpose of this paper is to introduce a generalization of the Arakawa–Kaneko zeta function and investigate their special values at negative integers. The special values are written as the sums of products of Bernoulli and poly-Bernoulli polynomials. We establish the basic properties for this zeta function and their special values.
متن کاملHermite based poly-Bernoulli polynomials with a q-parameter
Ugur Duran, Mehmet Acikgoz and Serkan Araci Department of Mathematics, Faculty of Arts and Science, University of Gaziantep, TR-27310 Gaziantep, Turkey E-Mail: [email protected] Department of Mathematics, Faculty of Arts and Science, University of Gaziantep, TR-27310 Gaziantep, Turkey E-Mail: [email protected] Department of Economics, Faculty of Economics, Administrative and Social Scienc...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Electronic Journal of Combinatorics
سال: 2022
ISSN: ['1077-8926', '1097-1440']
DOI: https://doi.org/10.37236/10598