MULTIPLICATION FORMULA AND (w, q)-ALTERNATING POWER SUMS OF TWISTED q-EULER POLYNOMIALS OF THE SECOND KIND

DOI10.14317/jami.2021.455zbMath1499.11099OpenAlexW3194810898MaRDI QIDQ5020343

Ahyun Kim, Ji-Eun Choi

Publication date: 5 January 2022

Full work available at URL: http://koreascience.or.kr/journal/view.jsp?kj=E1MCA9&py=2021&vnc=v39n3_4&sp=455

zbMATH Keywords

second kind Euler polynomialstwisted \(q\)-Euler polynomials of the second kindtwisted \(q\)-Hurwitz's type Euler zeta function of the second kindtwisted-type \(q\)-Hurwitz-Lerch Euler zeta function of the second kind

Mathematics Subject Classification ID

Bernoulli and Euler numbers and polynomials (11B68) Other analytic theory (analogues of beta and gamma functions, (p)-adic integration, etc.) (11S80) Zeta functions and (L)-functions (11S40)

Cites Work

• On \(p\)-adic Hurwitz-type Euler zeta functions
• Euler numbers and polynomials associated with zeta functions
• Asymptotic equalities for the Lipschitz-Lerch zeta-function
• Asymptotic expansions of the Hurwitz--Lerch zeta function
• On the Hurwitz-Lerch zeta-function.
• The Lerch transcendent from the point of view of Fourier analysis
• On the Lerch zeta function
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