\(Q\)-Dirichlet type \(L\)-functions with weight \(\alpha\)

DOI10.1186/1687-1847-2013-40zbMath1370.11038OpenAlexW2125055445WikidataQ59294047 ScholiaQ59294047MaRDI QIDQ2360512

Hacer Ozden

Publication date: 4 July 2017

Published in: Advances in Difference Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/1687-1847-2013-40

zbMATH Keywords

Hurwitz zeta functionDirichlet \(L\)-functiongeneralized Bernoulli polynomialsgeneralized \(q\)-Bernoulli numbers with weight \(\alpha\)

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) Other Dirichlet series and zeta functions (11M41)

Related Items (4)

Stability and bifurcation analysis in a viral infection model with delays ⋮ Some identities of degenerate special polynomials ⋮ On p-adic interpolating function associated with modified Dirichlet's type of twisted q-Euler numbers and polynomials with weight α ⋮ On the families of \(q\)-Euler polynomials and their applications

Cites Work

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• Identities on the weighted \(q\)-Bernoulli numbers of higher order
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• \(q\)-Bernoulli numbers and polynomials associated with multiple \(q\)-zeta functions and basic \(L\)-series
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• On twisted \(q\)-Hurwitz zeta function and \(q\)-two-variable \(L\)-function
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• Interpolation function of the \((h,q)\)-extension of twisted Euler numbers
• Analytic continuation of the multiple Daehee \(q\)-\(l\)-functions associated with Daehee numbers
• \(q\)-analogue of twisted \(l\)-series and \(q\)-twisted Euler numbers
• On the behavior of some two-variable \(p\)-adic \(L\)-functions.
• On the weighted q-Bernoulli numbers and polynomials
• ON THE ANALOGS OF BERNOULLI AND EULER NUMBERS, RELATED IDENTITIES AND ZETA AND L-FUNCTIONS
• ON EXPLICIT FORMULAS OF p-ADIC q-L-FUNCTIONS

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