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In this note, the q-extension of the twisted Lerch Euler zeta functions considered by Jang [Bull. Korean Math. Soc. 47 (2010), no.
6, 1181–1188] is further investigated, and the generalized multiplication theorem for the q-extension of the twisted Lerch Euler zeta functions is given. As applications, some well-known results in the references are deduced as special cases.
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참고문헌 (19)
참고문헌 신청
D. Q. Lu / 2011 / Some series identities involving the generalized Apostol type and related polynomials / Comput. Math. Appl 62 (9) : 3591 ~ 3602
H. M. Liu / 2009 / Some identities on the Bernoulli, Euler and Genocchi polynomials via power sums and alternate power sums / Discrete Math 309 (10) : 3346 ~ 3363
H. Ozden / 2008 / A new extension of q-Euler numbers and polynomials related to their interpolation functions / Appl. Math. Lett 21 (9) : 934 ~ 939
S. H. Rim / 2006 / A note on p-adic Euler measure on Zp / Russ. J. Math. Phys 13 (3) : 358 ~ 361
T. Kim / 1999 / On a q-analogue of the p-adic log gamma functions and related integrals / J. Number Theory 76 (2) : 320 ~ 329
H. M. Liu / 2009 / Some identities on the Bernoulli, Euler and Genocchi polynomials via power sums and alternate power sums / Discrete Math 309 (10) : 3346 ~ 3363
H. Ozden / 2008 / A new extension of q-Euler numbers and polynomials related to their interpolation functions / Appl. Math. Lett 21 (9) : 934 ~ 939
S. H. Rim / 2006 / A note on p-adic Euler measure on Zp / Russ. J. Math. Phys 13 (3) : 358 ~ 361
T. Kim / 1999 / On a q-analogue of the p-adic log gamma functions and related integrals / J. Number Theory 76 (2) : 320 ~ 329
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