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- W2022367362 abstract "The aim of this paper, firstly, is to construct generating functions of<mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML><mml:mi>q</mml:mi></mml:math>-Euler numbers and polynomials of higher order by applying the fermionic<mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML><mml:mi>p</mml:mi></mml:math>-adic<mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML><mml:mi>q</mml:mi></mml:math>-Volkenborn integral, secondly, to define multivariate<mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML><mml:mi>q</mml:mi></mml:math>-Euler zeta function (Barnes-type Hurwitz<mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML><mml:mi>q</mml:mi></mml:math>-Euler zeta function) and<mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML><mml:mi>l</mml:mi></mml:math>-function which interpolate these numbers and polynomials at negative integers, respectively. We give relation between Barnes-type Hurwitz<mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML><mml:mi>q</mml:mi></mml:math>-Euler zeta function and multivariate<mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML><mml:mi>q</mml:mi></mml:math>-Euler<mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML><mml:mi>l</mml:mi></mml:math>-function. Moreover, complete sums of products of these numbers and polynomials are found. We give some applications related to these numbers and functions as well." @default.
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- W2022367362 title "Multivariate Interpolation Functions of Higher-Order<mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML><mml:mi>q</mml:mi></mml:math>-Euler Numbers and Their Applications" @default.
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- W2022367362 doi "https://doi.org/10.1155/2008/390857" @default.
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