[PDF] Top 20 A note on Carlitz q Bernoulli numbers and polynomials
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A note on Carlitz q Bernoulli numbers and polynomials
... generalized Carlitz q-Bernoulli polynomials in the p-adic case by means of a method provided by ...generalized Carlitz q-Bernoulli ...generalized Carlitz ... See full document
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A note on poly Bernoulli numbers and polynomials of the second kind
... 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
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A NOTE ON DEGENERATE BERNSTEIN AND DEGENERATE EULER POLYNOMIALS
... From the definition of Bernstein polynomials, we note that Bernstein basis is the probability mass function of binomial distribution. The Bernstein polynomi- als of degree n can be defined by blending ... See full document
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A note on degenerate poly Bernoulli numbers and polynomials
... 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
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On modified degenerate Carlitz q Bernoulli numbers and polynomials
... degenerate Carlitz q-Bernoulli numbers and ...degenerate q-Bernoulli numbers and ...these numbers and polynomials which are derived from the generating ... See full document
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A note on type 2 q Bernoulli and type 2 q Euler polynomials
... odd q-integers can be expressed by means of type 2 q-Bernoulli ...odd q-integers can be represented by virtue of type 2 q-Euler ...2 q-Bernoulli polynomials and ... See full document
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A NOTE ON TYPE 2 DEGENERATE MULTI-POLY-BERNOULLI POLYNOMIALS AND NUMBERS
... multi-poly-Genocchi polynomials given by using the degenerate multi-polyexponential ...multi-poly-Bernoulli polynomials, called the type 2 degenerate multi-poly-Bernoulli poly- nomials by ... See full document
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Note on q Extensions of Euler Numbers and Polynomials of Higher Order
... twisted Bernoulli and Euler numbers and polynomials are studied by many authors see for detail ...h, q-extension of Euler polynomials and numbers, by using p-adic, ... See full document
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Symmetric identities for Carlitz’s q Bernoulli numbers and polynomials
... A note on Carlitz q-Bernoulli numbers and ...B: q-Bernoulli numbers and q-Bernoulli polynomials ...J: q-Analogue of Riemann’s ζ function ... See full document
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A note on the values of weighted q Bernstein polynomials and weighted q Genocchi numbers
... the q-Bernstein polynomials and q-Genocchi polynomials have attracted a lot of interest and have been studied from different points of view along with some gen- eralizations and modifications by ... See full document
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A note on modified degenerate q Daehee polynomials and numbers
... the q-Daehee polynomials (1.5), the degenerate λ-q-Daehee poly- nomials of the second kind in [12, 33, ...modified q-Daehee polynomials of the second kind ...the q-Daehee ... See full document
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Unified (p, q) -analog of Apostol type polynomials of order a
... (p; q)-analog of Apostol type polynomials of order ...(p; q)-Stirling numbers of the second kind of order v, a correlation between these numbers and uni…ed (p; q)-analog of ... See full document
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Generalizations of Bernoulli numbers and polynomials
... 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
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A note on the (h,q) zeta type function with weight α
... By applying some elementary methods, we will give symmetric properties of weighted (h, q)-Genocchi polynomials and a weighted (h, q)-zeta-type function. Consequently, our applications seem to be ... See full document
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Modified degenerate Carlitz's $q$-bernoulli polynomials and numbers with weight ($\alpha ,\beta $)
... twisted q-Bernoulli polynomials under the symmetric group of degree ...the q-Bernoulli polynomials and numbers with weight α and showed some interesting ...degenerate ... See full document
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Modified Degenerate Carlitz’s q-Bernoulli Polynomials and Numbers with Weight (α, β)
... twisted q-Bernoulli polynomials under the symmetric group of degree ...the q-Bernoulli polynomials and numbers with weight α and showed some interesting ...degenerate ... See full document
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q Bernoulli numbers and q Bernoulli polynomials revisited
... Since Carlitz brought out the concept of the q-extension of Bernoulli numbers and polynomials, many mathematicians have studied q-Bernoulli numbers and ... See full document
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On a class of q Bernoulli and q Euler polynomials
... ago, Carlitz extended the classical Bernoulli and Euler numbers and poly- nomials and introduced the q-Bernoulli and the q-Euler numbers and polynomials (see [, ] ... See full document
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Some results for the q Bernoulli, q Euler numbers and polynomials
... The q -analogues of many well known formulas are derived by using several results of q -Bernoulli, q -Euler numbers and ...The q -analogues of ζ-type functions are given by using ... See full document
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A New Approach to Bernoulli Numbers and Bernoulli Polynomials Related to Bernstein Polynomials
... the q-Bernoulli numbers and q-Bernoulli ...these numbers and polynomials related to the second-kind Stirling numbers and q-Bernstein ...generalized q- ... See full document
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