Recurrence relations for the Lerch φ function and applications

Zeitschrift für Analysis und ihre Anwendungen

Volumn 24, Issue 4, 2005, Pages 895-908

  Dalai, Marco ^a  

^a UNIVERSITY OF BRESCIA   (Italy)

Author keywords

Bernoulli polynomials; Dirichlet Beta; Euler polynomials; Lerch Phi; Riemann Zeta; Series representations

Indexed keywords

EID: 32044446951     PISSN: 02322064     EISSN: None     Source Type: Journal    
DOI: 10.4171/ZAA/1274     Document Type: Article

References (9)

1. Abramowitz, M. and I. Stegun: Handbook of Mathematical Functions. New York: Dover 1972.
2. Adamchik, V. S. and H. M. Srivastava: Some series of the Zeta and related functions. Analysis 18 (1998), 131-144.
3. Chen, M.-P. and H. M. Srivastava: Some families of series representations for the Riemann ζ(3). Resultate Math. 33 (1998), 179-197.
4. Ramaswami, V.: Notes on Riemann's ζ-function. J. London Math. Soc. 9 (1943), 165-169.
5. Srivastava, H. M.: Some simple algorithms for the evaluations and representations of the Riemann Zeta function at positive integer arguments. J. Math. Anal. Appl. 246 (2000), 331-351.
6. Srivastava, H. M.: Some families of rapidly convergent series representations for the zeta function. Taiwanese J. Math. 4 (2000), 569-598.
7. Srivastava, H. M. and J. Choi: Series Associated with the Zeta and Related Functions. Dordrecht: Kluwer 2001.
8. Srivastava, H. M., Classer, M. L. and V. S. Adamchik: Some definite integrals associated with the riemann zeta function. Z. Anal. Anwendungen 19 (2000), 831-846.
9. Srivastava, H. M. and H. Tsumura: Certain classes of rapidly convergent series representations for L(2n, χ) and L(2n + 1,χ). Acta Arith. 100 (2001), 195-201.