Character Gamma Functions and Evaluation of Series with Dirichlet L-Value Coefficients
LITHUANIAN MATHEMATICAL JOURNAL, cilt.61, sa.2, ss.180-198, 2021 (SCI-Expanded, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 61 Sayı: 2
- Basım Tarihi: 2021
- Doi Numarası: 10.1007/s10986-021-09507-y
- Dergi Adı: LITHUANIAN MATHEMATICAL JOURNAL
- Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, zbMATH, DIALNET
- Sayfa Sayıları: ss.180-198
- Anahtar Kelimeler: Dirichlet L-function, gamma function, multiplication formula, Bernoulli and Euler polynomials, Euler-MacLaurin formula
- Akdeniz Üniversitesi Adresli: Evet
Özet
In this paper, we demonstrate a character analogue of the Lerch formula and multiplication formulas for the Dirichlet L-functions. These formulas produce multiplication formulas for the character gamma functions and related polynomials. Moreover, we establish closed-form evaluation formulas for the power series with Dirichlet L-value coefficients.