Results 21 to 30 of about 781 (209)
Some Properties on the q‐Euler Numbers and Polynomials [PDF]
Abstract and Applied Analysis, 2012 We give some new identities on q‐Euler numbers and polynomials by using the fermionic p‐adic integral on ℤp.
Kim, T., Lee, S.-H.
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On the q‐Extension of Apostol‐Euler Numbers and Polynomials [PDF]
Abstract and Applied Analysis, 2008 Recently, Choi et al. (2008) have studied the q‐extensions of the Apostol‐Bernoulli and the Apostol‐Euler polynomials of order n and multiple Hurwitz zeta function. In this paper, we define Apostol′s type q‐Euler numbers En,q,ξ and q‐Euler polynomials En,q,ξ(x). We obtain the generating functions of En,q,ξ and En,q,ξ(x), respectively.
Kim, Young-Hee +2 more
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On generalized degenerate Euler–Genocchi polynomials
Applied Mathematics in Science and Engineering, 2023 We introduce the generalized degenerate Euler–Genocchi polynomials as a degenerate version of the Euler–Genocchi polynomials. In addition, we introduce their higher-order version, namely the generalized degenerate Euler–Genocchi polynomials of order α ...
Taekyun Kim, Dae San Kim, Hye Kyung Kim
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Stirling Numbers and Spin-Euler Polynomials [PDF]
Experimental Mathematics, 2007 The Fischer decomposition on ℝn gives the decomposition of arbitrary homogeneous polynomials in n variables (x 1, . . . , x n) in terms of harmonic homogeneous polynomials. In classical Clifford analysis a refinement was obtained, giving a decomposition in terms of monogenic polynomials, i.e., homogeneous null solutions for the Dirac operator (a vector-
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A NOTE ON THE q-ANALOGUES OF EULER NUMBERS AND POLYNOMIALS [PDF]
Honam Mathematical Journal, 2011 Summary: In this paper, we consider the \(q\)-analogues of Euler numbers and polynomials using the fermionic \(p\)-adic invariant integral on \(\mathbb Z_p\). From these numbers and polynomials, we derive some interesting identities and properties on the \(q\)-analogues of Euler numbers and polynomials.
Choi, Jongsung +2 more
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q-Generalized Euler numbers and polynomials [PDF]
Russian Journal of Mathematical Physics, 2006 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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New Approach to q-Euler Numbers and Polynomials
Advances in Difference Equations, 2010 We give a new construction of the q-extensions of Euler numbers and polynomials. We present new generating functions which are related to the q-Euler numbers and polynomials.
Seog-Hoon Rim +3 more
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Generalized -Euler Numbers and Polynomials Associated with -Adic -Integral on
International Journal of Mathematics and Mathematical Sciences, 2012 We generalize the Euler numbers and polynomials by the generalized -Euler numbers and polynomials . We observe an interesting phenomenon of “scattering” of the zeros of the generalized -Euler polynomials in complex plane.
H. Y. Lee +3 more
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Multiple Twisted q-Euler Numbers and Polynomials Associated with p-Adic q-Integrals
Advances in Difference Equations, 2008 By using p-adic q-integrals on ℤp, we define multiple twisted q-Euler numbers and polynomials. We also find Witt's type formula for multiple twisted q-Euler numbers and discuss some characterizations of multiple twisted q-Euler Zeta functions.
Lee-Chae Jang
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Mathematics, 2021 In this paper, we further study the generating function involving a variety of special numbers and ploynomials constructed by the second author. Applying the Mellin transformation to this generating function, we define a new class of zeta type functions,
Daeyeoul Kim, Yilmaz Simsek
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