In the paper the ideas of relative Nevanlinna L∗-order and relative Nevanlinna L∗-lower order of an analytic function with respect to an entire function in the unit disc U = {z : |z| < 1} are introduced. Hence, we study some comparative growth properties of composition of two analytic functions in the unit disc U on the basis of relative Nevanlinna L∗-order and relative Nevanlinna L∗-lower order.

Introduction. We shall call a square matrix A of order n an Hadamard matrix or for brevity an iî-matrix, if each element of A has the value ± 1 and if the determinant of A has the maximum possible value w. It is known that such a matrix A is an iï-matrix [ l] if, and only if, AA'~nEn where A f is the transpose of A and En is the unit matrix of order n. It is also known that, if an iï-matrix of ...

Mycophenolic acid is a secondary extracellular metabolite of Penicillium strains with numerous pharmaceutical properties such as antibiotic and immunosuppressive uses. The aim of this work is the survey of the effect of phenylglyoxal and n-ethylmaleimide concentration in culture medium on mycophenolic acid production by Penicillium brevi-compactum ATCC16024 was investigated. Batch submerged fer...

In the paper we study the growth properties of composite entire and meromophic functions using L-order and L∗-order improving some earlier results where L ≡ L(r) is a slowly changing function. Mathematics Subject Classification: 30D35, 30D30

Mycophenolic acid is a secondary extracellular metabolite of Penicillium strains with numerous pharmaceutical properties such as antibiotic and immunosuppressive uses. The aim of this work is the survey of the effect of phenylglyoxal and n-ethylmaleimide concentration in culture medium on mycophenolic acid production by Penicillium brevi-compactum ATCC16024 was investigated. Batch submerged fer...

By reformulating a learning process of a set system L as a game between Teacher and Learner, we define the order type of L to be the order type of the game tree, if the tree is well-founded. The features of the order type of L (dim L in symbol) are (1) We can represent any well-quasi-order (wqo for short) by the set system L of the upper-closed sets of the wqo such that the maximal order type o...

the non-split extension group $overline{g} = 5^3{^.}l(3,5)$ is a subgroup of order 46500000 and of index 1113229656 in ly. the group $overline{g}$ in turn has l(3,5) and $5^2{:}2.a_5$ as inertia factors. the group $5^2{:}2.a_5$ is of order 3 000 and is of index 124 in l(3,5). the aim of this paper is to compute the fischer-clifford matrices of $overline{g}$, which together with associated parti...

Categorial Grammar • Type-theoretic grammar formalism for describing natural languages • Based on the implicative fragment of linear logic • Resource sensitivity • Simple but enough expressive • Mildly context-sensitive languages are generated by second-order ACGs (de Groote and Pogodalla 2004) On Two Extensions of ACGs – p.3/45 Abstract Categorial Grammar • Type-theoretic grammar formalism for...