Limit summability of ultra exponential functions
محورهای موضوعی : Applied Mathematics
1 - Department of Mathematics, Shiraz Branch, Islamic Azad University,
Shiraz, Iran
کلید واژه: Limit summable function, ultra exponential function, ultra power, limit summand function,
چکیده مقاله :
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.
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.
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[2] M.H. Hooshmand, Limit Summability of Real Functions, Real Analysis
Exchange, Volume 27 (2002), Number 2, Pages 463-472.
[3] M.H. Hooshmand, Another Look at the Limit Summability of Real
Functions, J. of Math. Extension, Vol. 4, No. 1 , Ser. No. 7 (2009), 73-89.
[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.
