논문

Some Identities on the Generalized q-Bernoulli, q-Euler and q-Genocchi Polynomials

https://doi.org/10.1155/2013/293532

저자Daeyeoul Kim (Burak Kurt, Veli Kurt)
학술지Abstract and Applied Analysis 2013
등재유형
게재일자(2013)

Mahmudov (2012, 2013) introduced and investigated some $q$ -extensions of the $q$ -Bernoulli polynomials ${\scr B}_{n,q}^{(\alpha )}(x,y)$ of order $\alpha$ , the $q$ -Euler polynomials ${\scr E}_{n,q}^{(\alpha )}(x,y)$ of order $\alpha$ , and the $q$ -Genocchi polynomials ${\mathrm{\scr G}}_{n,q}^{(\alpha )}(x,y)$ of order $\alpha$ . In this paper, we give some identities for ${\scr B}_{n,q}^{(\alpha )}(x,y)$ , ${\mathrm{\scr G}}_{n,q}^{(\alpha )}(x,y)$ , and ${\scr E}_{n,q}^{(\alpha )}(x,y)$ and the recurrence relations between these polynomials. This is an analogous result to the $q$ -extension of the Srivastava-Pintér addition theorem in Mahmudov (2013).