نتایج جستجو برای: stirling numbers of the first kind
تعداد نتایج: 22820402 فیلتر نتایج به سال:
The Legendre-Stirling numbers are the coeffi cients in the integral Lagrangian symmetric powers of the classical Legendre second-order differential expression. In many ways, these numbers mimic the classical Stirling numbers of the second kind which play a similar role in the integral powers of the classical second-order Laguerre differential expression. In a recent paper, Andrews and Littlejoh...
Abstract It is known that the Stirling numbers of second kind are related to normal ordering in Weyl algebra, while unsigned first shift algebra. Recently, Kim-Kim introduced a λ \lambda -analogue and r r -Stirling kind. In this article, we introduce algebra (called -shift algebra) investigate From derive ...
Abstract In this paper, we introduce a kind of combinatorial numbers, D − Stirling numbers, and its special cases. An exponential generating function of the D − Stirling numbers is given. We also present recurrence relations, monotonicity, and limiting properties of the D−Stirling numbers. Applications to statistical probability function estimation and restricted occupancy theory are provided. ...
the present research was conducted to explore the effect of employing two language teaching approaches, i.e. schema-based instruction (sbi) and translation-based instruction (tbi), on vocabulary knowledge, structure and reading comprehension ability of forty one female students learning english in grade one senior high school in rivash, kuhsorkh, iran. while sbi focuses on schemata, i.e. words ...
previous studies have aimed at testing a hypothesis but the present study is data-first research in which researcher tries to form a theory from data rather than the use of data to test a hypothesis. this study aims at exploring teachers perceptions of the strengths and weaknesses of the current syllabus for college preparatory course. eight experienced teachers were selected to collect data du...
abstract: the present study is about prophet ishmael, some parts of his life; his personality in the quran and the bible; and the comparison of the content of these two religious books. compilation of the study has been done with a new perspective and new presentation approach. since prophets have been human beings’ role model and their life has been a perfect example for humanity in all ages,...
The Stirling number of the second kind {k} counts the number of ways to partition a set of n labeled balls into k non-empty unlabeled cells. We extend this problem and give a new statement of the r-Stirling numbers of the second kind and r-Bell numbers. We also introduce the r-mixed Stirling number of the second kind and r-mixed Bell numbers. As an application of our results we obtain a formula...
In this paper, we define the generating functions for the generalized q-Stirling numbers of the second kind. By applying Mellin transform to these functions, we construct interpolation functions of these numbers at negative integers. We also derive some identities and relations related to q-Bernoulli numbers and polynomials and q-Stirling numbers of the second kind.
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