A family of functions associated with three term relations and Eisenstein series
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In this paper, for $a\in \mathbb{C}$, we investigate functions $g_{a}$ and $ \psi _{a}$ associated with three term relations. $g_{a}$ is defined by means of function $\psi _{a}$. By using these functions, we obtain some functional equations related to the Eisenstein series and the Riemann zeta function. Also we find a generalized difference formula of function $g_{a}$.
Abstract
In this paper, for $a\in \mathbb{C}$, we investigate functions $g_{a}$ and $ \psi _{a}$ associated with three term relations. $g_{a}$ is defined by means of function $\psi _{a}$. By using these functions, we obtain some functional equations related to the Eisenstein series and the Riemann zeta function. Also we find a generalized difference formula of function $g_{a}$.
참고문헌 (12)
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