Some identities involving \(q\)-poly-tangent numbers and polynomials and distribution of their zeros

DOI10.1186/S13662-017-1275-2zbMath1422.11054OpenAlexW2741870234WikidataQ59611716 ScholiaQ59611716MaRDI QIDQ1631983

Ravi P. Agarwal, Cheon Seoung Ryoo

Publication date: 7 December 2018

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

Full work available at URL: https://doi.org/10.1186/s13662-017-1275-2

zbMATH Keywords

Stirling numbersCauchy numbersFrobenius-Euler polynomialstangent numbers and polynomials

Mathematics Subject Classification ID

Bell and Stirling numbers (11B73) 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)

Related Items (12)

A NUMERICAL INVESTIGATION ON THE STRUCTURE OF THE ROOT OF THE (p, q)-ANALOGUE OF BERNOULLI POLYNOMIALS ⋮ A NOTE ON q-ANALOGUE OF POLY-BERNOULLI NUMBERS AND POLYNOMIALS ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Unnamed Item ⋮ SOME PROPERTIES OF GENERALIZED q-POLY-EULER NUMBERS AND POLYNOMIALS WITH VARIABLE a ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Some identities for Euler and Bernoulli polynomials and their zeros ⋮ Symmetric identities for \((P,Q)\)-analogue of tangent zeta function ⋮ Unnamed Item ⋮ On the generalized q-poly-Euler polynomials of the second kind

Cites Work

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• The \(q\)-tangent and \(q\)-secant numbers via continued fractions
• Degenerate Bernoulli polynomials, generalized factorial sums, and their applications
• Identities for sums of a \(q\)-analogue of polylogarithm functions
• Poly-Bernoulli numbers
• DIFFERENTIAL EQUATIONS ASSOCIATED WITH TANGENT NUMBERS
• A NUMERICAL INVESTIGATION ON THE ZEROS OF THE TANGENT POLYNOMIALS
• Euler and the Zeta Function

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