Limit summability of ultra exponential functions

Subject Areas : Applied Mathematics

M.N. Hooshamnd ¹ (Department of Mathematics, Shiraz Branch, Islamic Azad University, Shiraz, Iran)

Received: 2011-03-12 Accepted : 2012-01-01 Published : 2014-05-01

Keywords:

Abstract :

In [1] we uniquely introduced ultra exponential functions (uxpa) and denednext step of the serial binary operations: addition, multiplication and power.Also, we exhibited the topic of limit summability of real functions in [2,3]. Inthis paper, we study limit summability of the ultra exponential functions andprove some of their properties. Finally, we pose an unsolved problem aboutthem.

References:

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Exchange, Volume 27 (2002), Number 2, Pages 463-472.
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[4] R. J. Webster, Log-Convex Solutions to the Functional Equation f(x+1) =
g(x)f(x): 􀀀 -Type Functions, J. Math. Anal. Appl., 209 (1997), 605-623.