دورية
Some series whose coefficients involve the value ζ(n) for $n$n odd
العنوان: | Some series whose coefficients involve the value ζ(n) for $n$n odd |
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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 |
تدمد: | 01611712 16870425 |
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DOI: | 10.1155/S0161171289000712 |