This paper is devoted to the study of matrix elements of irreducible representations of the enveloping deformed Heisenberg algebra with reflection, motivated by recurrence relations satisfied by hypergeometric functions. It is shown that the matrix elements of a suitable operator given as a product of exponential functions are expressed in terms of d-orthogonal polynomials, which are reduced to the orthogonal Meixner polynomials when d = 1. The underlying algebraic framework allowed a systematic derivation of the recurrence relations, difference equation, lowering and rising operators and generating functions which these polynomials satisfy., Fethi Bouzeffour, Hanen Ben Mansour, Ali Zaghouani., and Obsahuje bibliografii
In the context of Maria Theresa’s educational reforms, the article analyses the introduction of new school textbooks in Bohemia as an attempt to build a new type of state economic enterprise. For the first twenty years after compulsory education was introduced in 1774, a balance had to be struck for the publication of textbooks between standardization and adaptability, in order to over- come the obstacles and conflicts inherent in the reforms. In implementing the reforms it was thus necessary to deviate from certain fundamental principles - dirigism, uniformity and centralization. An economic system based on the awarding of privileges was faced with the challenge of meeting public order on an unprecedented scale. Moreover, an economic model for publishing schoolbooks had to be devised that could function as an instrument of social policy while remaining financially sustainable. The new publishing house had to ensure regular high-volume distribution of the new product throughout a territory that lacked any commercial infrastructure in the field of bookselling., Claire Madl., and Obsahuje bibliografické odkazy