|
|
|
|
convolution identities involving the central binomial coefficients and catalan numbers
|
|
|
|
|
|
|
|
نویسنده
|
batir necdet ,kucuk hakan ,sorgun sezer
|
|
منبع
|
transactions on combinatorics - 2021 - دوره : 10 - شماره : 4 - صفحه:225 -238
|
|
چکیده
|
We generalize some convolution identities due to witula and qi et al. involving the central binomial coefficients and catalan numbers. our formula allows us to establish many new identities involving these important quantities and recovers some known identities in the literature. also, we give new proofs of shapiro’s catalan convolution and a famous identity of haj´os.
|
|
کلیدواژه
|
convolution identity ,combinatorial identity ,central binomial coefficient ,catalan number ,harmonic number
|
|
آدرس
|
nevsehir haci bektas veli university, department of mathematics, turkey, nevsehir haci bektas veli university, department of mathematics, turkey, nevsehir haci bektas veli university, department of mathematics, turkey
|
|
پست الکترونیکی
|
srgnrzs@gmail.com
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Authors
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|