[PDF] Top 20 A note on \((h,q)\) Boole polynomials
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A note on \((h,q)\) Boole polynomials
... the q-extensions of Boole ...the q-Boole polynomials with weights and derive some new interesting identities and properties of those polynomials and numbers from the Witt-type ... See full document
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A note on the (h,q) zeta type function with weight α
... The objective of this paper is to derive the symmetric property of an (h, q)-zeta function with weight α . By using this property, we give some interesting identities for (h, q)-Genocchi ... See full document
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Note on q Extensions of Euler Numbers and Polynomials of Higher Order
... twisted h, q-extension of Euler polynomials and numbers, see 14, ...new q-extension of Euler numbers and polynomials to be different which is treated by Ozden et ...our q-Euler ... See full document
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A Note on Genocchi Polynomials and Numbers of Higher Order
... studied q-Genocchi and Euler numbers using Fermionic q-integral and introduced related ...the q-extensions of the Euler numbers which can be viewed as interpolating of q-analogue of Euler zeta ... See full document
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A Note on the (p, q)-Hermite Polynomials
... Hermite polynomials via (p; q)-exponential generating function and investigate several properties and relations for mentioned polynomials including derivative property, explicit formula, recurrence ... See full document
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A note on \((p,q)\) Bernstein polynomials and their applications based on \((p,q)\) calculus
... The generating functions are the key tool in analytic number theory for defining and ob- taining properties to special polynomials such as Bernoulli, Euler, Hermite, and Genocchi polynomials. The idea behind ... See full document
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A note on the values of weighted q Bernstein polynomials and weighted q Genocchi numbers
... The q-calculus theory is a novel theory that is based on finite difference ...in q-calculus belong to Euler, who discovered Euler’s identities for q-exponential functions, and Gauss, who discovered ... See full document
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A note on the Analogue of Lebesgue Radon Nikodym theorem with respect to weighted p adic q measure on Zp
... Kim, T, Choi, J, Kim, H: A note on the weighted Lebesgue-Radon-Nikodym theorem with respect to p-adic invariant integral on Zp.. Kim, T: New approach to q-Euler polynomials of higher ord[r] ... 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 q-integrals ... See full document
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On Mahler Expansion of p-adic Gamma Function Affiliated with the q-Boole Polynomials
... of q-Boole polynomials and p-adic gamma ...p-adic q-integral of the derivative of p-adic gamma ...the q-Boole polynomials of both ... See full document
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... Authors´ Note. The authors declare that the paper is an original work, submitted only to this journal, have not been published previously whole or in the part, and will not be submitted elsewhere until …nal ... 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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A note on type 2 q Bernoulli and type 2 q Euler polynomials
... the q- analogues of Faulhaber’s well-known formula expressing the power sums in terms of Bernoulli ...odd q-integers can be expressed by means of type 2 q-Bernoulli ...odd q-integers can be ... See full document
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Identities, inequalities for Boole type polynomials: approach to generating functions and infinite series
... and polynomials, and for Peters type polynomials with the help of their generating ...and polynomials such as Stirling numbers, the Apostol–Euler numbers and polynomials, Peters ... See full document
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... for q-Hermite-Fubini numbers and polynomials and give some properties of these numbers and ...of q- Hermite-Fubini numbers and polynomials and some relationships between q-Bernoulli ... See full document
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THE ALEXANDER POLYNOMIAL OF A TORUS KNOT WITH TWISTS
... ∆(p, q, 2m), m ∈ Z of Alexander polynomials of the (p, q) torus knot with m extra full twists on two adjacent strings were initially done for the (7, 17) torus knot in response to a query of Yoav ... See full document
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On a class of q Bernoulli and q Euler polynomials
... defined q-Bernoulli and q-Euler ...that q-Bernoulli and q-Euler polynomials in our definitions are polynomials of x and y, and when y = , they are polyno- mials of x, but in other ... See full document
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Euler Basis, Identities, and Their Applications
... Ryoo, “Some relations between twisted q-Euler numbers and Bernstein polynomials,” Advanced Studies in Contemporary Mathematics, vol.. Simsek, “Complete sum of products of h, q-extension [r] ... See full document
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7.Summation formula for generalized discrete $q$-Hermite II polynomials
... For the convenience of the reader, we provide in this section a summary of the mathematical notations and definitions used in this paper. We refer to the general references [4, 8] and [7] for the definitions and ... See full document
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A Study on the Adic Integral Representation on Associated with the Weighted Bernstein and Bernoulli Polynomials
... In this paper, we consider the weighted q-Bernstein polynomials to express the bosonic q-integral on p and investigate some properties of the weighted q-Bernstein polynomials associated [r] ... See full document
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