Some extensions for the several combinatorial identities
نویسندگان
چکیده
منابع مشابه
Some 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 کاملextensions of some polynomial inequalities to the polar derivative
توسیع تعدادی از نامساوی های چند جمله ای در مشتق قطبی
15 صفحه اولCombinatorial proofs for some forest hook length identities
Chen, Gao and Guo gave in a recent paper many interesting identities involving hook lengths of trees and forests using an extension of Han’s expansion technique. We give combinatorial proofs of some of these identities.
متن کاملSome Combinatorial Identities and Explanations Based on Occupancy Model
Abstract Some special random variables in occupancy model that balls are distributed into m urns are investigated. The number of occupied urns and the minimal number of balls in all urns are discussed. Some combinatorial identities and their explanations related to the binomial coefficient and Stirling number are derived. Several new infinite summation combinatorial identities on the binomial c...
متن کاملCombinatorial Proofs of Some Moriarty-type Binomial Coefficient Identities
In this note, we present combinatorial proofs of some Moriarty-type binomial coefficient identities using linear and circular domino arrangements.
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: Advances in Difference Equations
سال: 2021
ISSN: 1687-1847
DOI: 10.1186/s13662-020-03171-1