On the calculation of generalized binomial coefficients
نویسندگان
چکیده
منابع مشابه
Generalized Levinson–durbin Sequences and Binomial Coefficients
Abstract The Levinson–Durbin recursion is used to construct the coefficients which define the minimum mean square error predictor of a new observation for a discrete time, second-order stationary stochastic process. As the sample size varies, the coefficients determine what is called a Levinson–Durbin sequence. A generalized Levinson– Durbin sequence is also defined, and we note that binomial c...
متن کاملGeneralized Binomial Coefficients for Molecular Species
Let be a complex variable. We associate a polynomial in , denoted M N , to any two molecular species M = M (X) and N = N (X) by means of a binomial-type expansion of the form
متن کاملGeneralized Factorial Functions and Binomial Coefficients
Let S ⊆ Z. The generalized factorial function for S, denoted n!S , is introduced in accordance with theory already established by Bhargava ([4]). Along with several known theorems about these functions, a number of other issues will be explored. This Thesis is divided into 4 chapters. Chapter 1 provides the necessary definitions and offers a connection between the generalized factorial function...
متن کاملOn the Conditioned Binomial Coefficients
We answer a question on the conditioned binomial coefficients raised in and article of Barlotti and Pannone, thus giving an alternative proof of an extension of Frobenius’ generalization of Sylow’s theorem.
متن کاملOn Sums of Binomial Coefficients
In this paper we study recurrences concerning the combinatorial sum [n r ] m = ∑ k≡r (mod m) (n k ) and the alternate sum ∑ k≡r (mod m)(−1) (n k ) , where m > 0, n > 0 and r are integers. For example, we show that if n > m−1 then b(m−1)/2c ∑ i=0 (−1) (m− 1− i i )[n− 2i r − i ]
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Journal of Multivariate Analysis
سال: 1974
ISSN: 0047-259X
DOI: 10.1016/0047-259x(74)90037-2