Barnes type multiple q-zeta functions and q-Euler polynomials

Abstract

The Barnes multiple zeta function is useful to study in the number theory and Knot thoey and Mathematical Physics. In this paper we consider q-extension of Barnes type multiple zeta function and we also construct the q-extension of Euler polynomials of higher order

11 pages

References in corpus (3)

• $q$-Bernoulli Numbers and Polynomials Associated with Multiple $q$-Zeta Functions and Basic $L$-series
• The Modified q-Euler numbers and polynomials
• A note on p-adic q-Euler measure

Cited by in corpus (24)

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• Note on the Modified q-Bernstein Polynomials
• Some identities on the q-Bernstein polynomials, q-Stirling number and q-Bernoulli numbers
• On the fermionic p-adic integral representation of Bernstein polynomials associated with Euler numbers and polynomials
• Some new identities on the twisted (h, q)- Euler numbers and q-Bernstein polynomials
• On p-adic analogue of q-Bernstein polynomials and related integrals
• On the q-Euler numbers related to modified q-Bernstein polynomials
• On q-Berstein and q-Hermite polynomials
• q-Bernstein polynomials, q-Stirling numbers and q-Bernoulli polynomials
• A note on q-Bernoulli numbers and q-Bernstein polynomials
• Barnes' multiple Bernoulli and poly-Bernoulli mixed-type polynomials
• q-Bernstein polynomials associated with q-stirling numbers and Carlitz's q-Bernoulli numbers
• Some identities on Bernstein polynomials associated with q-Euler polynomials
• On $p$-adic multiple Barnes-Euler zeta functions and the corresponding log gamma functions
• Identities of symmetry for expansion of q-Euler polynomials
• A note on the new q-extension of Frobenius-Euler numbers and polynomials
• Ob carlitz's type q-Euler numbers associated with the fermionic p-adic integrals on Zp
• A family of generalized q-Genocchi numbers and polynomials
• On the generalized higher-order q-Bernoulli numbers and polynomials
• On the (h,q)-zeta functions associated with (h,q)-Bernoulli numbers and polynomials
• Barnes-type Daehee polynomials