التفاصيل البيبلوغرافية
| العنوان: |
On Closed Forms of Some Trigonometric Series. |
| المؤلفون: |
Tričković, Slobodan B.1 (AUTHOR) sbt@junis.ni.ac.rs, Stanković, Miomir S.2 (AUTHOR) miomir.stankovic@gmail.com |
| المصدر: |
Axioms (2075-1680). Sep2024, Vol. 13 Issue 9, p631. 15p. |
| مصطلحات موضوعية: |
*FOURIER series, *HARMONIC functions, *DERIVATIVES (Mathematics), *COSINE function, *SINE function, *ZETA functions |
| مستخلص: |
We have derived alternative closed-form formulas for the trigonometric series over sine or cosine functions when the immediate replacement of the parameter appearing in the denominator with a positive integer gives rise to a singularity. By applying the Choi–Srivastava theorem, we reduce these trigonometric series to expressions over Hurwitz's zeta function derivative. [ABSTRACT FROM AUTHOR] |
| قاعدة البيانات: |
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