Abstract
Analogous to recent useful generalizations of the family of gamma functions and beta functions, extensions of the Riemann zeta function are presented, for which the usual properties and representations are naturally and simply extended. In analogy to these extensions, the extended Hurwitz functions are introduced. Hurwitz-type formulae are also proved.
| Original language | English |
|---|---|
| Pages (from-to) | 1237-1263 |
| Number of pages | 27 |
| Journal | Rocky Mountain Journal of Mathematics |
| Volume | 31 |
| Issue number | 4 |
| DOIs | |
| State | Published - 2001 |
Keywords
- Gamma function
- Generalized gamma function
- Integral transforms
- Zeta functions
ASJC Scopus subject areas
- General Mathematics