[PDF] Top 20 A NOTE ON TYPE 2 DEGENERATE MULTI-POLY-BERNOULLI POLYNOMIALS AND NUMBERS

... Special polynomials has recently been applied in numerous …elds of applied and pure mathematics besides in such other disciplines as physics, economics, statistics, probability theory, biology and engineering, ... See full document

... Kim et al Advances in Difference Equations 2014, 2014 219 http //www advancesindifferenceequations com/content/2014/1/219 R ES EARCH Open Access A note on poly Bernoulli numbers and polynomials of the[.] ... See full document

... A note on degenerate poly Bernoulli numbers and polynomials Kim and Kim Advances in Difference Equations (2015) 2015 258 DOI 10 1186/s13662 015 0595 3 R E S E A R C H Open Access A note on degenerate[.] ... See full document

... In Section 3, we construct the complex, analytic, two-variable q-L-function that is a q- analog of the two-variable L-function. Using this function, we calculate the values of two- variable q-L-functions at nonpositive ... See full document

... q-Daehee polynomials (1.5), the degenerate λ-q-Daehee poly- nomials of the second kind in [12, 33, ...q-Daehee polynomials of the second kind ...q-Daehee polynomials (1.5), and the ... See full document

... introduced degenerate Bernstein polynomials and operators and derive some of their properties (see ...the degenerate Euler numbers and polynomials and their connection with the ... See full document

... Sect. 2, we investigated some fundamental properties for the degenerate Bernstein poly- ...the degenerate Bernstein polynomials associated with special numbers and ... See full document

... Acknowledgments. This note was finalized during the third author’s visit to the RGMIA with grants from the Victoria University and Jiaozuo Institute of Technology. The authors would like to express many thanks to ... See full document

... the type 2 degenerate poly-Bernoulli polynomials by making use of the modified polylogarithm functions and Kim [13] introduced the degenerate Cauchy numbers of the ... See full document

... of type 2 q-Bernoulli ...of type 2 q-Euler polynomials. The type 2 q-Bernoulli polynomials and type 2 q- Euler polynomials were ... See full document

... the degenerate poly-Bernoulli polynomials intro- duced by Kim et ...the degenerate Frobenius-Euler polynomials, called the type 2 degenerate ... See full document

... the type 2 degenerate Bernoulli and type 2 degenerate Euler poly- nomials of complex variable, of which the latter are type 2 degenerate ... See full document

... new type of degenerate poly- Bernoulli polynomials by means of the degenerate polylogarithm ...the degenerate poly-Frobenius-Euler polynomials, called the ... See full document

... the degenerate Carlitz q-Bernoulli numbers and ...modified degenerate q-Bernoulli numbers and ...these numbers and polynomials which are derived from the generating ... See full document

... totally degenerate Daehee numbers and polynomials are constructed by degener- ating both numerator and denominator of Daehee numbers and ...totally degenerate Daehee polynomials ... See full document

... that Bernoulli polynomials of odd order vanish for arguments equal to 0, 1/2, 1, we obtain easily the Faulhaber formula for pow- ers sums in term of polynomials in λ having coefficients ... See full document

... -Bernoulli numbers and q - Bernoulli polynomials given by Acikgöz et ...-Bernoulli numbers and polynomials is ...-Bernoulli numbers and polynomials ... See full document

... of degenerate poly-Bernoulli ...of polynomials in a single variable x over C by and the vector space of all linear functionals on by ∗ ... See full document

... Euler-type polynomials and ...Euler-type polynomials and numbers. A special case of higher-order Euler-type polynomials is eigenfunctions for the generalized partial Hecke ... See full document

... Apostol type q-Bernoulli poly- ...Apostol type q-Bernoulli polynomials are ...aforementioned polynomials are q-Appell. Hence, we make use of these polynomials to ... See full document