[PDF] Top 20 A note on type 2 q Bernoulli and type 2 q Euler polynomials
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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 ...The type ... See full document
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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
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On type 2 degenerate Bernoulli and Euler polynomials of complex variable
... [1, 2] initiated the study of degenerate versions of Bernoulli and Euler polynomi- ...special polynomials and numbers has been very fruitful and promis- ...special polynomials is not ... See full document
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A note on Carlitz q Bernoulli numbers and polynomials
... a q-analog of p-adic L-functions and suggested two ...tic q-L-series that is a q-analog of Dirichlet L-function and interpolates Carlitz q-Ber- noulli numbers, which is an answer to Koblitz’s ... See full document
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Applications of q-Umbral Calculus to Modi ed Apostol Type q-Bernoulli Polynomials
... studied q-Bernoulli polynomials, q-Euler polynomials and various general- izations of these polynomials ...Apostol type q-Bernoulli numbers and ... See full document
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Apostol Type (p, q)-Frobenius-Euler Polynomials and Numbers
... (p, q)-extension of Apostol type Frobenius-Euler polynomials and numbers and investigate some basic identities and properties for these polynomials and numbers, including addition ... See full document
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Note on Nasybullin's Lemma Associated with the Modified Adic Euler Measure
... new type of q-integrated Meyer- K ¨onig-Zeller-Durrmeyer q-MKZD operators, obtained moments for these operators, and estimated the convergence of these integrated q-MKZD ...the ... See full document
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On the Distribution of the Euler Polynomials and the Genocchi Polynomials of Higher Order
... order q-Euler and q-Genocchi ...the q-extension of the Apostol-Euler polynomials of order n, and the multiple Hurwitz zeta functions see ...the q-extension of Genocchi ... 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 including Apostol-Bernoulli, Apostol-Euler and Apostol-Genocchi polynomials of order ...(p; q)-analog of Stirling ... See full document
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Note on q Extensions of Euler Numbers and Polynomials of Higher Order
... h, q- extension of Euler polynomials and ...new q-extension of Eu- ler numbers and polynomials to be different which is treated by Ozden et ...our q-Euler num- bers and ... See full document
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Identities of Symmetry for q Euler Polynomials
... [1,2,5,8,9] are some of the previous works on identi- ties of symmetry involving Bernoulli polynomials and power sums. These results were generalized in [4] to obtain identities of symmetry involving three ... See full document
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Some results for the q Bernoulli, q Euler numbers and polynomials
... introduced q-analogues of the Bernoulli numbers and ...on q-analogue of the Bernoulli, Euler numbers, and polynomials can be found in Choi et ... See full document
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A note on the Barnes type q Euler polynomials
... of q-Euler polynomials and obtained many results which are interesting in number theory and ...the q-Euler polynomials and a q-analog of alternating power ...p-adic ... See full document
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Search | Preprints
... section 2, we consider generating functions for (p, q)-analogue type of Fubini numbers and polynomials and give some properties of these numbers and ...(p, q)-analogue type of ... See full document
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Some identities of higher order Barnes type q Bernoulli polynomials and higher order Barnes type q Euler polynomials
... Some identities of higher order Barnes type q Bernoulli polynomials and higher order Barnes type q Euler polynomials Jang et al Advances in Difference Equations (2015) 2015 162 DOI 10 1186/s13662 015[.] ... See full document
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On a class of generalized q Bernoulli and q Euler polynomials
... generalized q-Bernoulli polynomials and two different types E [m–,α] n,q (x, ) and E [m–,α] n,q (, y) of the generalized q-Euler ...Both polynomials B [m–,α] ... See full document
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... section 2, we consider generating functions for q-Hermite-Fubini numbers and polynomials and give some properties of these numbers and ...of q- Hermite-Fubini numbers and polynomials ... See full document
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Generalized Euler Numbers and Polynomials Associated with Adic Integral on
... Moreover, it is possible to create a new mathematical ideas and analyze them in ways that generally are not possible by hand. The authors have no doubt that investigation along this line will lead to a new approach ... 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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Partial Hecke-type operators and their applications
... of Bernoulli polynomials and Euler polyno- mials in differential equations, in analytic number theory and in ...of Bernoulli poly- nomials. These polynomials are also related to several ... See full document
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