On some families of integrals solvable in terms of polygamma and negapolygamma functions

Integral Transforms and Special Functions

Volumn 14, Issue 3, 2003, Pages 187-203

  Boros, George ^a   Espinosa, Olivier ^b   Moll, Victor H ^c  

^a XAVIER UNIVERSITY OF LOUISIANA   (United States)

^b DEPARTAMENTO DE FÍSICA   (Chile)

^c Tulane University   (United States)

Author keywords

Hurwitz zeta function; Integrals; Loggamma; Polygamma functions

Indexed keywords

EID: 0242360764     PISSN: 10652469     EISSN: None     Source Type: Journal    
DOI: 10.1080/1065246031000072265     Document Type: Article

References (5)

1. Adamchik, V. (2001). On the Barnes function. Proceedings of the 2001 International Symposium on Symbolic and Algebraic Computation, July 22-25, 2001, London, Canada. Academic Press, pp. 15-20.
2. Berndt, B. (1972). On the Hurwitz zeta-function. Rocky Mountain Journal, 2, 151-157.
3. Espinosa, O. and Moll, V. (2002). On some integrals involving the Hurwitz zeta function: Part 2. The Ramanujan Journal, 6, 449-468.
4. Gradshteyn, I. S. and Ryzhik, I. M. (1994). In: Jeffrey, A. (Ed.), Table of Integrals, Series and Products, 5th ed., Academic Press.
5. Whittaker, E. and Watson, G. (1963). A Course of Modern Analysis, 4th ed. reprinted, Cambridge University Press.