Some series whose coefficients involve the value ζ(n) for $n$n odd

التفاصيل البيبلوغرافية
العنوان: Some series whose coefficients involve the value ζ(n) for $n$n odd
المؤلفون: R. Bragg, L.
المصدر: International Journal of Mathematics and Mathematical Sciences; 1989, Vol. 12 Issue: 1
مستخلص: By using two basic formulas for the digamma function, we derive a variety of series that involve as coefficients the values (2n+1), n=1,2,⋯, of the Riemann-zeta function. A number of these have a combinatorial flavor which we also express in a trignometric form for special choices of the underlying variable. We briefly touch upon their use in the representation of solutions of the wave equation.
قاعدة البيانات: Supplemental Index
الوصف
تدمد:01611712
16870425
DOI:10.1155/S0161171289000712