Siberian Federal University 
- Issue
- Journal of Siberian Federal University. Mathematics & Physics. 2024 17 (5)
- Authors
- Brahim Mittou
- Contact information
- Brahim Mittou: Department of Mathematics University Kasdi Merbah Ouargla, Algeria EDPNL & HM Laboratory of ENS Kouba, Algeria; , OCRID: 0000-0002-5712-9011
- Keywords
- Bernoulli polynomial; Bernoulli number; generating function
- Abstract
Let m, n and l be integers with 0 6 l 6 m + n. It is the main purpose of this paper to give an identity for the sum: m∑ a=0 n∑ b=0 a+b>m+n−l Bm−aBn−b (m a )(n b ) a + b + 1 ( a + b + 1 m + n − l ) , where Bm (m = 0, 1, 2, . . . ) is the Bernoulli number. As corollary we prove that the above sum equal to 1 2 when l = 0
- Pages
- 609–612
- EDN
- MAGLZV
- Paper at repository of SibFU
- https://elib.sfu-kras.ru/handle/2311/153265
Journal of Siberian Federal University. Mathematics & Physics / On a New Identity for Double Sum Related to Bernoulli Numbers
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