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http://dx.doi.org/10.14317/jami.2022.873

SOME IDENTITIES FOR MULTIPLE (h, p, q)-HURWITZ-EULER ETA FUNCTION  

SEO, JONG JIN (Department of Applied Mathematics, College of Natural Sciences, Pukyong National University)
RYOO, CHEON SEOUNG (Department of Mathematics, Hannam University)
Publication Information
Journal of applied mathematics & informatics / v.40, no.5_6, 2022 , pp. 873-882 More about this Journal
Abstract
In this paper, we construct the multiple (h, p, q)-Hurwitz-Euler eta function by generalizing the multiple Hurwitz-Euler eta function. We get some explicit formulas and properties of the higher-order (h, p, q)-Euler numbers and polynomials.
Keywords
Higher-order (h, p, q)-Euler numbers and polynomials; multiple Hurwitz-Euler eta function; (h, p, q)-Hurwitz-Euler eta function;
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1 R.P. Agarwal, J.Y. Kang, C.S. Ryoo, Some properties of (p, q)-tangent polynomials, Journal of Computational Analysis and Applications 24 (2018), 1439-1454.
2 U. Duran, M. Acikgoz, S. Araci, On (p, q)-Bernoulli, (p, q)-Euler and (p, q)-Genocchi polynomials, J. Comput. Theor. Nanosci. 13 (2016), 7833-7846.   DOI
3 T. Kim, Barnes type multiple q-zeta function and q-Euler polynomials, J. phys. A: Math. Theor. 43 (2010), 255201(11pp).   DOI
4 C.S. Ryoo, Some properties of the (h, p, q)-Euler numbers and polynomials and computation of their zeros, J. Appl. & Pure Math. 1 (2019), 1-10.
5 L. Carlitz, Expansion of q-Bernoulli numbers and polynomials, Duke Math. J. 25 (1958), 355-364.   DOI
6 J. Choi, P.J. Anderson, H.M. Srivastava, Carlitz's q-Bernoulli and q-Euler numbers and polynomials and a class of generalized q-Hurwiz zeta functions, Appl. Math. Comput. 215 (2009), 1185-1208.   DOI
7 Y. He, Symmetric identities for Carlitz's q-Bernoulli numbers and polynomials, Advances in Difference Equations 246 (2013), 10 pages.
8 C.S. Ryoo, On the (p, q)-analogue of Euler zeta function, J. Appl. Math. & Informatics 35 (2017), 303-311.   DOI
9 D. Kim, T. Kim, J.J. Seo, Identities of symmetric for (h, q)-extension of higher-order Euler polynomials, Applied Mathemtical Sciences 8 (2014), 3799-3808.   DOI
10 V. Kurt, A further symmetric relation on the analogue of the Apostol-Bernoulli and the analogue of the Apostol-Genocchi polynomials, Appl. Math. Sci. 3 (2009), 53-56.
11 C.S. Ryoo, On the generalized Barnes type multiple q-Euler polynomials twisted by ramified roots of unity, Proc. Jangjeon Math. Soc. 13 (2010), 255-263.
12 C.S. Ryoo, Some symmetric identities for (p, q)-Euler zeta function, J. Computational Analysis and Applications 27 (2019), 361-366.
13 G.E. Andrews, R. Askey, R. Roy, Special Functions, Encyclopedia of Mathematics and Its Applications 71, Cambridge University Press, Cambridge, UK, 1999.
14 S. Araci, U. Duran, M. Acikgoz, H.M. Srivastava, A certain (p, q)-derivative operato rand associated divided differences, Journal of Inequalities and Applications 2016:301 (2016). DOI 10.1186/s13660-016-1240-8   DOI
15 J. Choi, H.M. Srivastava, The Multiple Hurwitz Zeta Function and the Multiple Hurwitz-Euler Eta Function, Taiwanese Journal of Mathematics 15 (2011), 501-522.   DOI