In this paper, we present a new representation of gamma function as a series of complex delta functions. We establish the convergence of this representation in the sense of distributions. It turns out ...

We prove the converse of J. Miller's integral representation theorem for functions in the class $\Sigma^\ast(p, w_0)$ of starlike meromorphic univalent functions. As an application we improve the ...

Abstract: The Wright function, which arises in the theory of the space-time fractional diffusion equation, is an interesting mathematical object which has diverse connections with other special and ...

1 Bogolyubov Institute for Theoretical Physics, NAS of Ukraine, Kyiv, Ukraine. 2 Condensed Matter Physics Department, J. Stefan Institute, Ljubljana, Slovenia. 3 Faculty of Mathematics and Physics, ...

The concept of coalition proof Nash equilibrium was introduced by Bernheim et al. [5]. In the present paper, we consider the representation problem for coalition proof Nash equilibrium: For a given ...

Curious learner is a generative model which will aims to figure out proper function based on task that is asked using natural language. It not only find the proper function but also try to figure out ...

We theoretically study lifelong reinforcement learning (RL) with linear representation in a regret minimization setting. The goal of the agent is to learn a multi-task policy based on a linear ...