Extensions of Euler harmonic sums | Zendy

Anthony Sofo | Zendy; Djurdje Cvijović | Zendy

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Extensions of Euler harmonic sums

Author(s) -

Anthony Sofo,

Djurdje Cvijović

Publication year - 2012

Publication title -

applicable analysis and discrete mathematics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.69

H-Index - 26

eISSN - 2406-100X

pISSN - 1452-8630

DOI - 10.2298/aadm120628016s

Subject(s) - mathematics , euler's formula , harmonic number , euler summation , simple (philosophy) , harmonic , identity (music) , pure mathematics , algebra over a field , mathematical analysis , semi implicit euler method , backward euler method , euler equations , riemann zeta function , philosophy , physics , epistemology , quantum mechanics , acoustics

Three new closed-form summation formulae involving harmonic numbers are\udestablished using simple arguments and they are very general extensions of\udEuler’s famous harmonic sum identity. Some illustrative special cases as well\udas immediate consequences of the main results are also considered.\u

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