منابع مشابه
Some Identities for Chandrasekhar Polynomials
Basic techniques of linear algebra are used to derive some identities involving the Chandrasekhar polynomials that play a vital role in the spherical-harmonics (A) solution to basic radiative-transfer problems. @ 1997 Elsevier Science Ltd. All rights reserved
متن کاملSome Remarkable Identities Involving Numbers
The article focuses on simple identities found for binomials, their divisibility, and basic inequalities. A general formula allowing factorization of the sum of like powers is introduced and used to prove elementary theorems for natural numbers. Formulas for short multiplication are sometimes referred in English or French as remarkable identities. The same formulas could be found in works conce...
متن کاملSome Combinatorial and Analytical Identities
We give new proofs and explain the origin of several combinatorial identities of Fu and Lascoux, Dilcher, Prodinger, Uchimura, and Chen and Liu. We use the theory of basic hypergeometric functions, and generalize these identities. We also exploit the theory of polynomial expansions in the Wilson and Askey-Wilson bases to derive new identities which are not in the hierarchy of basic hypergeometr...
متن کاملOn Some Operator Identities and Representations of Algebras
Certain infinite families of operator identities related to powers of positive root generators of (super) Lie algebras of first-order differential operators and q-deformed algebras of first-order finite-difference operators are presented. 1. The following operator identity holds (J n ) n+1 ≡ (x∂x − nx) n+1 = x∂ x , ∂x ≡ d dx , n = 0, 1, 2, . . . (1) The proof is straightforward: (i) the operato...
متن کاملSOME IDENTITIES ON THE BERNSTEIN AND q-GENOCCHI POLYNOMIALS
Let p be a fixed odd prime number. Throughout this paper, Zp, Qp and Cp will denote the ring of p-adic rational integers, the field of p-adic rational numbers, and the completion of algebraic closure of Qp, respectively. Let N be the set of natural numbers and N = N ∪ {0}. The p-adic norm is normally defined by |p|p = 1/p. As an indeterminate, we assume that q ∈ Cp with |1 − q|p < 1 (see [1-43]...
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: Bulletin of the Australian Mathematical Society
سال: 2001
ISSN: 0004-9727,1755-1633
DOI: 10.1017/s0004972700019468