# American Institute of Mathematical Sciences

2005, 2005(Special): 121-130. doi: 10.3934/proc.2005.2005.121

## Extended Riemann Bessel functions

 1 Department of Mathematical Sciences, Rensselaer Polytechnic Institute, Troy, NY 12180, United States

Received  August 2004 Revised  May 2005 Published  September 2005

In this paper we discuss the extended Riemann Bessel functions, their integral representations and series expansions in terms of Riemann zeta functions and Bessel functions. We consider also other properties such as their differential equations, recurrence relations, a recent proof of the Hurwitz type formulae and applications.
Citation: M.T. Boudjelkha. Extended Riemann Bessel functions. Conference Publications, 2005, 2005 (Special) : 121-130. doi: 10.3934/proc.2005.2005.121
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