Он а biorthogonal system of Munts functions

Munts quazipolinomial orthogonal systems from the $\left\{x^{\gamma_k}\right\}$ and $\left\{e^{-\gamma_k x}\right\}$ ($\gamma_k$ are real numbers) have been for the first time derived in an integral representation by H.V. Badalian [1, 2]. In the case of $\left\{e^{-\gamma_k x}\right\}$ they are considered in the article as (2) which remains without change in a more general case for multiple $\gamma_k$. In this connection the importance of developing a two power sequences based biorthogonal system is that together with the sequence $\left\{e^{-\gamma_k x}\right\}$ it creates a possibility of free selection another sequence $\left\{e^{-\lambda_k x}\right\}$ simplifying the application of functions representation apparatus.