[PDF] Top 20 On a q analog of some numbers and polynomials
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On a q analog of some numbers and polynomials
... analysis, q-analysis, analytic number theory, combinatorics, and so ...special polynomials have been defined by using p-adic q-integral on Z p and p-adic fermionic q-deformed integrals on Z p ... See full document
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Identities on Genocchi Polynomials and Genocchi Numbers Concerning Binomial Coefficients
... Genocchi numbers, the most common thing comes to our mind is to research the relations between Genocchi numbers, Bernoulli numbers [14–16] and Euler numbers [14, ...Genocchi numbers ... See full document
7
ON THE DEGENERATE h, q -CHANGHEE NUMBERS AND POLYNOMIALS
... Changhee polynomials were defined by ...Changhee numbers(q-Changhee numbers, respectively) are closely relate with the Euler numbers(q- Euler numbers), the Stirling ... See full document
14
On the Degenerate $(h,q)$-Changhee Numbers and Polynomials
... new q-analogue of the Changhee numbers and polynomials of the first kind and the second kind of order r, which are called the Witt-type formula for the q-analogue of Changhee ... See full document
14
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 ... See full document
10
Some identities on the higher order twisted q Euler numbers and polynomials with weight α
... of some families of higher- order-twisted q-Euler numbers and polynomials with weight a ...higher-order-twisted q-Euler numbers and polynomials with weight a and establish ... See full document
10
ON -ADIC GAMMA FUNCTION RELATED TO -DAEHEE POLYNOMIALS AND NUMBERS
... two q-Volkenborn integrals of p-adic gamma function in terms of q-Daehee polynomials and numbers and q-Daehee polynomials and numbers of the second ...discover ... See full document
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ON p-ADIC INTEGRAL REPRESENTATION OFq -BERNOULLI NUMBERS ARISING FROM TWO VARIABLE q-BERNSTEIN POLYNOMIALS
... In this paper, we study the p-adic integral representation on Z p of q-Bernoulli numbers arising from two variable q-Bernstein polynomials and investigate some properties for the q-Berno[r] ... See full document
11
Symmetric identities for Carlitz’s q Bernoulli numbers and polynomials
... Carlitz’s q-Bernoulli numbers and q-Bernoulli polynomials is performed, and several symmetric identities for these numbers and polynomials are established by applying elementary ... See full document
10
On modified degenerate Carlitz q Bernoulli numbers and polynomials
... examine some of the identities and properties that are related to the degenerate Carlitz q-Bernoulli numbers and ...degenerate q-Bernoulli numbers and ...investigate some of the ... See full document
9
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
8
New Extension of Unified Family Apostol Type of Polynomials and Numbers
... Apostol-type polynomials and numbers based on results given in [1] ...derive some properties for these polynomials and obtain some relationships between the Jacobi polynomials, ... See full document
11
Some Identities on the 𝑞 Genocchi Polynomials of Higher Order and 𝑞 Stirling Numbers by the Fermionic 𝑝 Adic Integral on ℤ𝑝
... of some families of q-Genocchi numbers and families of polynomials of N ¨orlund type is presented by using the multivariate fermionic p-adic integral on ...higher-order q-Genocchi ... See full document
14
Some identities on the twisted q Bernoulli numbers and polynomials with weight α
... By using the p-adic q-integral on Zp , we give some identities and relations on the twisted q-Bernoulli numbers and polynomials with weight α.... Jang Journal of Inequalities and Applica[r] ... See full document
8
Some results for the q Bernoulli, q Euler numbers and polynomials
... derive q-analogues of many well known formulas by using several results of q-Bernoulli, q-Euler numbers, and ...of q-Bernoulli, q-Euler numbers, and polynomials, we ... See full document
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Some new identities on the twisted carlitz's q bernoulli numbers and q bernstein polynomials
... Carlitz’s q -Bernoulli numbers using p -adic q - integral on ℤ p ...Carlitz’s q -Bernoulli numbers, we investigate some properties for the twisted Carlitz’s q -Bernoulli ... See full document
6
On the degenerate \((h,q)\) Changhee numbers and polynomials
... (h, q)-extension of the Bernoulli numbers and polynomials with the aid of q-Volkenborn integration, and Simsek gave the Witt-formula for (h, q)-Bernoulli numbers in [27, ...(h, ... See full document
15
Some identities on the weighted q Euler numbers and q Bernstein polynomials
... weighted q -Euler numbers and polynomials which are a slightly different Kim’s weighted q -Euler numbers and polynomials(see ...weighted q-Euler numbers and ... See full document
7
q Bernoulli numbers and q Bernoulli polynomials revisited
... the q -Bernoulli numbers and q - Bernoulli polynomials given by Acikgöz et ...2010), some incorrect properties are ...the q -Bernoulli numbers and polynomials is ... See full document
8
On \((h,q)\) Daehee numbers and polynomials
... p-adic q-integral (sometimes called q-Volkenborn integration) was defined by ...p-adic q-integral equations, we can derive various q-extensions of Bernoulli polynomials and ...Daehee ... See full document
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