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http://dx.doi.org/10.14317/jami.2022.233

SOME PROPERTIES AND IDENTITIES FOR (p, q)-GENOCCHI POLYNOMIALS COMBINING (p, q)-COSINE FUNCTION

KANG, JUNG YOOG (Department of Mathematics Education, Silla University)

Publication Information

Journal of applied mathematics & informatics / v.40, no.1_2, 2022 , pp. 233-242 More about this Journal

Abstract

The purpose of this paper is to find some properties and identities for (p, q)-cosine Genocchi polynomials. This polynomials which is one of Appell polynomials, have multifarious relations of (p, q)-other polynomials.

Keywords

(p, q)-numbers; (p, q)-exponential functions; (p, q)-cosine Genocchi polynomials;

Citations & Related Records

Reference

1	G. Brodimas, A. Jannussis, R. Mignani, Two-parameter Quantum Groups, Universita di Roma, Preprint, Nr., 1991.
2	R.B. Corcino, On (p, q)-Binomials coefficients, Electron. J. Combin. Number Theory 8 (2008), 12 pages.
3	U. Duran, M. Acikgoz, S. Araci, A study on some new results arising from (p, q)-calculus, TWMS J. Pure Appl. Math 11 (2020), 57-71.
4	C.S. Ryoo, J.Y. Kang, Structure of approximate roots based on symmetric properties of (p, q)-cosine and (p, q)-sine Bernoulli polynomials, Symmetry 12 (2020), 1-21. DOI
5	C.S. Ryoo, J.Y. Kang, Some symmetric properties and location conjecture of approximate roots for (p, q)-cosine Euler polynomials, Symmetry 13 (2021), 1-13. DOI
6	M. Wachs, D. White, (p, q)-Stirling numbers and set partition statistics, J. Combin. Theorey Ser, A. 56 (1991), 27-46. DOI
7	J.Y. Kang, C.S. Ryoo, Various structures of the roots and explicit properties of q-cosine Bernoulli Polynomials and q-sine Bernoulli Polynomials, Mathematics 8 (2020), 1-18. DOI
8	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
9	I.M. Burban, A.U. Klimyk, (p, q)-differentiation, (p, q)-integration and (p, q)-hypergeometric functions related to quantum groups, Integral Transforms Spec. Funct. 2 (1994), 15-36. DOI
10	R. Chakrabarti, R. Jagannathan, A (p, q)-oscillator realization of two-parameter quantum algebras, J. Phys. A:Math. Gen. 24 (1991), L711-L718. DOI
11	U. Duran, M. Acikgoz, S. Araci, On some polynomials derived from (p, q)-calculus, J. Comput. Theor. Nanosci. 13 (2016), 7903-7908. DOI
12	R. Jagannathan, K.S. Rao, Two-parameter quatum algebras, twin-basic numbers, and associated generalized hypergeometric series, Proceeding of the Lnternational Conference on Number Theory and Mathematical Physics, Srinivasa Ramanujan Centre, Kumbakonam, India (2005), 20-21 December.
13	J.Y. Kang, Studies on properties and characteristics of two new types of q-Genocchi polynomials, Journal of Applied Mathematics and Informatics 39 (2021), 57-72. DOI
14	M.J. Park and J.Y. Kang, A study on the cosine tangent polynomials and sine tangent polynomials, Journal of Applied and Pure Mathematics 2 (2020), 47-56.
15	P.N. Sadjang, On the fundamental theorem of (p, q)-calculus and some (p, q)-Taylor formulas, arXiv:1309.3934 [math.QA], (2013).
16	C.S. Ryoo, J.Y. Kang, Explicit properties of q-cosine and q-sine Euler polynomials containing symmetric structures, Symmetry 12 (2020), 1-21. DOI