Results 31 to 40 of about 799 (105)
Some Properties of Multiple Generalized q‐Genocchi Polynomials with Weight α and Weak Weight β
International Journal of Mathematics and Mathematical Sciences, Volume 2012, Issue 1, 2012., 2012 The present paper deals with the various q‐Genocchi numbers and polynomials. We define a new type of multiple generalized q‐Genocchi numbers and polynomials with weight α and weak weight β by applying the method of p‐adic q‐integral. We will find a link between their numbers and polynomials with weight α and weak weight β.
J. Y. Kang, Cheon Ryoo
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A Note on Some Identities of Frobenius-Euler Numbers and Polynomials
International Journal of Mathematics and Mathematical Sciences, 2012 The purpose of this paper is to give some identities on the Frobenius-Euler numbers and polynomials by using the fermionic p-adic q-integral equation on ℤp.
J. Choi, D. S. Kim, T. Kim, Y. H. Kim
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Some identities involving Bernoulli, Euler and degenerate Bernoulli numbers and their applications
Applied Mathematics in Science and Engineering, 2023 The paper has two main objectives. Firstly, it explores the properties of hyperbolic cosine and hyperbolic sine functions by using Volkenborn and the fermionic p-adic integrals, respectively.
Taekyun Kim, Dae San Kim, Hye Kyung Kim
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A note on Fermionic p-adic integrals on Zp and umbral calculus
, 2012 9 ...
Kim, Taekyun +3 more
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Identities on the Bernoulli and Genocchi Numbers and Polynomials
International Journal of Mathematics and Mathematical Sciences, Volume 2012, Issue 1, 2012., 2012 We give some interesting identities on the Bernoulli numbers and polynomials, on the Genocchi numbers and polynomials by using symmetric properties of the Bernoulli and Genocchi polynomials.
Seog-Hoon Rim +3 more
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Some identities on Bernstein polynomials associated with q-Euler polynomials [PDF]
, 2011 In this paper we investigate some properties for the q-Euler numbers ans polymials. From these properties we give some identities on the Bernstein polymials and q-Euler polynpmials.Comment: 8 ...
Bayad, Abdelmejid +3 more
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Extended fermionic $p$-adic integrals on $\mathbb{Z}_p$
, 2013 In the paper, using the extended fermionic $p$-adic integral on $\mathbb{Z}_p$, the authors find some applications of the umbral calculus. From these applications, the authors derive some identities on the weighted Euler numbers and polynomials. In other words, the authors investigate systematically the class of Sheffer sequences in connection with the
Qi, Feng, Araci, Serkan, Acikgoz, Mehmet
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Calculating Zeros of the q‐Genocchi Polynomials Associated with p‐Adic q‐Integral on ℤp
International Journal of Mathematics and Mathematical Sciences, Volume 2012, Issue 1, 2012., 2012 In this paper we construct the new analogues of Genocchi the numbers and polynomials. We also observe the behavior of complex roots of the q‐Genocchi polynomials Gn,q(x), using numerical investigation. By means of numerical experiments, we demonstrate a remarkably regular structure of the complex roots of the q‐Genocchi polynomials Gn,q(x). Finally, we
C. S. Ryoo, Taekyun Kim
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Some Identities on the q‐Genocchi Polynomials of Higher‐Order andq‐Stirling Numbers by the Fermionic p‐Adic Integral on ℤp [PDF]
International Journal of Mathematics and Mathematical Sciences, 2010 A systemic study of some families of q‐Genocchi numbers and families of polynomials of Nörlund type is presented by using the multivariate fermionic p‐adic integral on ℤp. The study of these higher‐order q‐Genocchi numbers and polynomials yields an interesting q‐analog of identities for Stirling numbers.
Seog-Hoon Rim +3 more
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Discrete Dynamics in Nature and Society, 2011 By using fermionic p-adic q-integral on ℤp, we give some interesting relationship between the twisted (h, q)-Euler numbers with weight α and the q-Bernstein polynomials.
N. S. Jung, H. Y. Lee, C. S. Ryoo
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