Voir la notice de l'article provenant de la source International Scientific Research Publications
Kim, Dae San 1 ; Kim, Taekyun 2
@article{JNSA_2016_9_2_a9, author = {Kim, Dae San and Kim, Taekyun}, title = {Symmetric identities of higher-order degenerate {q-Euler} polynomials}, journal = {Journal of nonlinear sciences and its applications}, pages = {443-451}, publisher = {mathdoc}, volume = {9}, number = {2}, year = {2016}, doi = {10.22436/jnsa.009.02.10}, language = {en}, url = {http://geodesic.mathdoc.fr/articles/10.22436/jnsa.009.02.10/} }
TY - JOUR AU - Kim, Dae San AU - Kim, Taekyun TI - Symmetric identities of higher-order degenerate q-Euler polynomials JO - Journal of nonlinear sciences and its applications PY - 2016 SP - 443 EP - 451 VL - 9 IS - 2 PB - mathdoc UR - http://geodesic.mathdoc.fr/articles/10.22436/jnsa.009.02.10/ DO - 10.22436/jnsa.009.02.10 LA - en ID - JNSA_2016_9_2_a9 ER -
%0 Journal Article %A Kim, Dae San %A Kim, Taekyun %T Symmetric identities of higher-order degenerate q-Euler polynomials %J Journal of nonlinear sciences and its applications %D 2016 %P 443-451 %V 9 %N 2 %I mathdoc %U http://geodesic.mathdoc.fr/articles/10.22436/jnsa.009.02.10/ %R 10.22436/jnsa.009.02.10 %G en %F JNSA_2016_9_2_a9
Kim, Dae San; Kim, Taekyun. Symmetric identities of higher-order degenerate q-Euler polynomials. Journal of nonlinear sciences and its applications, Tome 9 (2016) no. 2, p. 443-451. doi : 10.22436/jnsa.009.02.10. http://geodesic.mathdoc.fr/articles/10.22436/jnsa.009.02.10/
[1] Handbook of mathematical functions with formulas, graphs, and mathematical tables, National Bureau of Standards Applied Mathematics Series, vol. 55 , Washington, D.C., 1964
[2] A note on the Frobenius-Euler numbers and polynomials associated with Bernstein polynomials, Adv. Stud. Contemp. Math. (Kyungshang), Volume 22 (2012), pp. 399-406
[3] Apostol-Euler polynomials and asymptotics for negative binomial reciprocals, Adv. Stud. Contemp. Math. (Kyungshang), Volume 24 (2014), pp. 33-37
[4] q-Bernoulli and Eulerian numbers, Trans. Amer. Math. Soc., Volume 76 (1954), pp. 332-350
[5] Degenerate Stirling, Bernoulli and Eulerian numbers, Utilitas Math., Volume 15 (1979), pp. 51-88
[6] Applications of umbral algebra to some special polynomials, Adv. Stud. Contemp. Math. (Kyungshang), Volume 22 (2012), pp. 433-438
[7] Identities of symmetry for higher-order generalized q-Euler polynomials, Abstr. Appl. Anal., Volume 2014 (2014), pp. 1-6
[8] Some new identities for the Apostol-Bernoulli polynomials and the Apostol-Genocchi polynomials, Appl. Math. Comput., Volume 262 (2015), pp. 31-41
[9] New symmetric identities involving the Eulerian polynomials, J. Comput. Anal. Appl., Volume 17 (2014), pp. 498-504
[10] Some theorems on Bernoulli and Euler numbers, Ars Combin., Volume 109 (2013), pp. 285-297
[11] On the (r; q)-Bernoulli and (r; q)-Euler numbers and polynomials, J. Comput. Anal. Appl., Volume 19 (2015), pp. 250-259
[12] Symmetry of power sum polynomials and multivariate fermionic p-adic invariant integral on \(\mathbb{Z}_p\), Russ. J. Math. Phys., Volume 16 (2009), pp. 93-96
[13] Symmetry identities for generalized twisted Euler polynomials twisted by unramified roots of unity, Proc. Jangjeon Math. Soc., Volume 15 (2012), pp. 303-316
[14] Extended q-Euler numbers and polynomials associated with fermionic p-adic q-integral on \(\mathbb{Z}_p\), Russ. J. Math. Phys., Volume 14 (2007), pp. 160-163
[15] Identities of symmetry for higher-order q-Euler polynomials, Proc. Jangjeon Math. Soc., Volume 17 (2014), pp. 161-167
[16] Identities of symmetry for higher-order Euler polynomials in three variables (I), Adv. Stud. Contemp. Math. (Kyungshang), Volume 22 (2012), pp. 51-74
[17] q-analogues of some results for the Apostol-Euler polynomials, Adv. Stud. Contemp. Math. (Kyungshang), Volume 20 (2010), pp. 103-113
[18] A note on p-adic q-Euler measure, Adv. Stud. Contemp. Math. (Kyungshang), Volume 14 (2007), pp. 233-239
[19] On the modified q-Euler numbers of higher order with weight, Adv. Stud. Contemp. Math. (Kyungshang), Volume 22 (2012), pp. 93-98
[20] A note on the weighted q-Euler numbers and polynomials, Adv. Stud. Contemp. Math. (Kyungshang), Volume 21 (2011), pp. 47-54
[21] Theorems on Apostol-Euler polynomials of higher order arising from Euler basis, Adv. Stud. Contemp. Math. (Kyungshang), Volume 23 (2013), pp. 337-345
[22] Interpolation functions of the Eulerian type polynomials and numbers, Adv. Stud. Contemp. Math. (Kyungshang), Volume 23 (2013), pp. 301-307
[23] Some identities on the generalized higher-order Euler and Bernoulli numbers, Ars Combin., Volume 102 (2011), pp. 517-528
Cité par Sources :