In this paper, we derive a class of approximations of the 𝑞-digamma function 𝜓𝑞(𝑥). The infinite family I a ( x;q )=log [ x+a ] q + q x logq 1− q x −( 1 2 −a )H( q−1 )logq, can be used as ...

The article is devoted to investigation of the classes of functions belonging to the gaps between classes Pn+1(I) and Pn(I) of matrix monotone functions for full matrix algebras of successive ...