- Gazi University Journal of Science Part A: Engineering and Innovation
- Volume:9 Issue:3
- Certain Finite Sums Pertaining to Leibnitz, Harmonic and Other Special Numbers
Certain Finite Sums Pertaining to Leibnitz, Harmonic and Other Special Numbers
Authors : Neslıhan KILAR
Pages : 187-198
Doi:10.54287/gujsa.1134534
View : 61 | Download : 6
Publication Date : 2022-09-30
Article Type : Research Paper
Abstract :The present manuscript deals with some certain finite sums and identities pertaining to some special numbers. Using generating functions methods, some relations and identities involving the Apostol type Euler and combinatorial numbers, and also the Fubini type numbers and polynomials, are given. Then, by using some certain classes of special finite sums involving the following rational sum which is defined by Simsek insert ignore into journalissuearticles values(2021b);: yinsert ignore into journalissuearticles values(r,ϑ);=∑_insert ignore into journalissuearticles values(b=0);^r▒〖insert ignore into journalissuearticles values(-1);^r/insert ignore into journalissuearticles values(insert ignore into journalissuearticles values(1+b); ϑ^insert ignore into journalissuearticles values(b+1); 〖insert ignore into journalissuearticles values(ϑ-1);〗^insert ignore into journalissuearticles values(r-b+1); );,〗many new certain finite sums and formulas related to the Leibnitz, Harmonic, Changhee, and Daehee numbers are obtained. Moreover, some applications of these results are presented.Keywords : Leibnitz Numbers, Harmonic Numbers, Fubini Type Numbers, Changhee and Daehee Numbers
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