Turkish Journal of Analysis and Number Theory
ISSN (Print): 2333-1100 ISSN (Online): 2333-1232 Website: https://www.sciepub.com/journal/tjant
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Turkish Journal of Analysis and Number Theory. 2015, 3(4), 104-107
DOI: 10.12691/tjant-3-4-3
Open AccessArticle

On the Generalized Degenerate Tangent Numbers and Polynomials

Cheon Seoung Ryoo1,

1Department of Mathematics, Hannam University, Daejeon, Korea

Pub. Date: October 26, 2015

Cite this paper:
Cheon Seoung Ryoo. On the Generalized Degenerate Tangent Numbers and Polynomials. Turkish Journal of Analysis and Number Theory. 2015; 3(4):104-107. doi: 10.12691/tjant-3-4-3

Abstract

In [7], Ryoo introduced the generalized tangent numbers and polynomials. In this paper, our goal is to give generating functions of the degenerate generalized tangent numbers and polynomials. We also obtain some explicit formulas for degenerate generalized tangent numbers and polynomials.

Keywords:
generalized tangent numbers and polynomials degenerate generalized tangent numbers and polynomials

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References:

[1]  L. Carlitz, Degenerate Stirling, Bernoulli and Eulerian numbers, Utilitas Math. 15(1979), 51-88.
 
[2]  L. Carlitz, A degenerate Staudt-Clausen theorem, Arch. Math. (Basel) 7(1956), 28-33.
 
[3]  F. Qi, D. V. Dolgy, T. Kim, C. S. Ryoo, On the partially degenerate Bernoulli polynomials of the first kind, Global Journal of Pure and Applied Mathematics, 11(2015), 2407-2412.
 
[4]  T. Kim, Barnes' type multiple degenerate Bernoulli and Euler polynomials, Appl. Math. Comput. 258(2015), 556-564.
 
[5]  H. Ozden, I. N. Cangul, Y. Simsek, Remarks on q-Bernoulli numbers associated with Daehee numbers, Adv. Stud. Contemp. Math. 18(2009), no. 1, 41-48.
 
[6]  C. S. Ryoo, A Note on the tangent numbers and polynomials, Adv. Studies Theor. Phys., 7(2013), no. 9, 447-454.
 
[7]  C. S. Ryoo, Generalized tangent numbers and polynomials associated with p-adic integral on p, Applied Mathematical Sciences, 7(2013), no. 99, 4929-4934.
 
[8]  C. S. Ryoo, Some identities on the (h; q)-tangent polynomials and Bernstein Polynomials, Applied Mathematical Sciences, 8(2014), no. 75, 3747-3753.
 
[9]  C. S. Ryoo, Notes on degenerate tangent polynomials, to appear in Global Journal of Pure and Applied Mathematics, Volume 11, number 5(2015), pp. 3631-3637.
 
[10]  P. T. Young, Degenerate Bernoulli polynomials, generalized factorial sums, and their applications, Journal of Number Theorey, 128(2008), 738-758.