نتایج جستجو برای: stirling numbers of the first kind
تعداد نتایج: 22820402 فیلتر نتایج به سال:
We prove an identity for sums of products of an arbitrary fixed number of Stirling numbers of the second kind; this can be seen as a generalized convolution identity. As a consequence we obtain two polynomial identities that also involve Stirling numbers of the second kind.
We describe proofs of the standard generating formulas for unsigned and signed Stirling numbers of the first kind that follow from a natural combinatorial interpretation based on cycle-colored permutations.
reserches show that relationship between human and residential places is based upo both emotional and identity structures. in other words, habitat place is not only the creator of a part of humanistic identity but also form a kind of sentimental and emotional bond that may result in tendency to maintain closeness to a specific place. therefor, formaton of emotional and identity relationship wit...
abstract the present study is concerned with the syntactic deviation in hafezs poetry. poems are known to be accompanied with various linguistic deviations. these deviations may be phonological, morphological and/or syntactic. the relatively high frequency of the cases of the syntactic deviation in hafezs poems makes this rhetorical feature as a main characteristic of his poetry. this thesis, ...
in this study, the relationship between teachers’ creative and critical thinking skills and their reflectivity in teaching was investigated. to this end, three questions were raised. these questions were intended to determine whether there was a significant relationship between teachers’ creative thinking skills and their reflectivity in teaching; whether there was a significant relationship be...
in this thesis a calibration transfer method is used to achieve bilinearity for augmented first order kinetic data. first, the proposed method is investigated using simulated data and next the concept is applied to experimental data. the experimental data consists of spectroscopic monitoring of the first order degradation reaction of carbaryl. this component is used for control of pests in frui...
n m n m Z ^ . W" = 5>(w, jy^Fip, k)(k)j = Zj\S(m, j)(n, j). k=o y=o k=o j=o Notice that the special case for m = 0 is also true. Hence, (2) holds for every m > 0. • Remark Sometimes in applications of the rule function F(n, k) may involve some independent parameters. Moreover, for the particular case in which F(n, k) > 0, so that (j)(n, 0) > 0, the lefthand side of (2) divided by (j)(n, 0) m...
We show how the generating function for signed Stirling numbers of the first kind can be proved using the involution principle and a natural combinatorial interpretation based on cycle-colored permuations. We seek an involution-based proof of the generating function for signed Stirling numbers of the first kind, written here as ∑ k (−1)c(n, k)x = (−1)(x)(x− 1) · · · (x− n+ 1) where c(n, k) is t...
the effect of the presence of perforations on he stresses of a plate is a problem which is of great interest in structural design and in the mathemattical theory of elasticity. among the many hole patterns that are likely to require consideration is the ring of equally spaced circular holes. the present worke investigates stress & strain analysis of a thin isotropic circular plate containing a ...
In this paper, we propose the another yet generalization of Stirling numbers of the rst kind for non-integer values of their arguments. We discuss the analytic representations of Stirling numbers through harmonic numbers, the generalized hypergeometric function and the logarithmic beta integral. We present then in nite series involving Stirling numbers and demonstrate how they are related to Eu...
نمودار تعداد نتایج جستجو در هر سال
با کلیک روی نمودار نتایج را به سال انتشار فیلتر کنید