Limit summability of ultra exponential functions

Abstract

In [1] we uniquely introduced ultra exponential functions (uxpa) and de ned<br />next step of the serial binary operations: addition, multiplication and power.<br />Also, we exhibited the topic of limit summability of real functions in [2,3]. In<br />this paper, we study limit summability of the ultra exponential functions and<br />prove some of their properties. Finally, we pose an unsolved problem about<br />them.