Results 21 to 30 of about 68,130 (264)
Various Types of q-Differential Equations of Higher Order for q-Euler and q-Genocchi Polynomials
Mathematics, 2022 One finds several q-differential equations of a higher order for q-Euler polynomials and q-Genocchi polynomials. Additionally, we have a few q-differential equations of a higher order, which are mixed with q-Euler numbers and q-Genocchi polynomials ...
Cheon-Seoung Ryoo, Jung-Yoog Kang
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Identities involving Laguerre polynomials derived from umbral calculus [PDF]
, 2013 In this paper, we investigate some identities of Laguerre polynomials involving Bernoulli and Euler polynomials which are derived from umbral calculus.Comment: 12 ...
Kim, Taekyun
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Ordinary and degenerate Euler numbers and polynomials
Journal of Inequalities and Applications, 2019 In this paper, we study some identities on Euler numbers and polynomials, and those on degenerate Euler numbers and polynomials which are derived from the fermionic p-adic integrals on Zp $\mathbb{Z}_{p}$.
Taekyun Kim +3 more
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Higher-order frobenius-Euler and poly-Bernoulli mixed type polynomials [PDF]
, 2013 In this paper, we consider higher-order Frobenius-Euler polynomi- als associated with poly-Bernoulli polynomials which are derived from polylogarithmic function.
Kim, Dae San, kim, Taekyun
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A Note on Type 2 Degenerate q-Euler Polynomials
Mathematics, 2019 Recently, type 2 degenerate Euler polynomials and type 2 q-Euler polynomials were studied, respectively, as degenerate versions of the type 2 Euler polynomials as well as a q-analog of the type 2 Euler polynomials.
Taekyun Kim +3 more
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Note on q-extensions of Euler numbers and polynomials of higher order [PDF]
, 2007 In [14] Ozden-Simsek-Cangul constructed generating functions of higher-order twisted $(h,q)$-extension of Euler polynomials and numbers, by using $p$-adic q-deformed fermionic integral on $\Bbb Z_p$.
Jang, Leechae +2 more
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Euler polynomials for the matrix exponential approximation
Journal of Computational and Applied Mathematics, 2023 Acknowledgements This work has been partially supported by Spanish Ministerio de Ciencia e Innovaci?n (Project PID2020-113656RB-C22) supported by MCIN/AEI/10.13039/501100011033 and by the Vicerrectorado de Investigaci?n de la Universitat Polit?cnica de Val?ncia (PAID-11-21).
José M. Alonso +3 more
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Explicit Formulas involving q-Euler Numbers and Polynomials [PDF]
, 2012 In this paper, we deal with q-Euler numbers and q-Bernoulli numbers. We derive some interesting relations for q-Euler numbers and polynomials by using their generating function and derivative operator.
Acikgoz, Mehmet +2 more
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Interpolation Functions of q-Extensions of Apostol's Type Euler Polynomials
Journal of Inequalities and Applications, 2009 The main purpose of this paper is to present new q-extensions of Apostol's type Euler polynomials using the fermionic p-adic integral on ℤp. We define the q-λ-Euler polynomials and obtain the interpolation functions and the Hurwitz type
Kyung-Won Hwang +2 more
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On the type 2 poly-Bernoulli polynomials associated with umbral calculus
Open Mathematics, 2021 Type 2 poly-Bernoulli polynomials were introduced recently with the help of modified polyexponential functions. In this paper, we investigate several properties and identities associated with those polynomials arising from umbral calculus techniques.
Kim Taekyun +3 more
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