Functions of Fast Increase which appears in some Limits and Formulae

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Published: Sep 15, 2022
Keywords:
function of fast increase, Limits, Prime factorization and sequence of positive integers.

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K Santosh Reddy
Department of Mathematics, University College of Science, Osmania University, Hyderabad, Telangana 500007, India Department of Humanities and Sciences, Vardhaman College of Engineering, Shamshabad, Hyderabad-501 218, Telangana, India
M Rangamma
Department of Mathematics, University College of Science, Osmania University, Hyderabad, Telangana 500007, India

Abstract

Let  ( ) .is function of fast increase and a sequence R which is strictly increasing of positive integers such that  
for some r 1 i.e., ~ ln ( ). r R    In this article we obtain some limits and asymptotic formulae where function of fast increase appear.

Article Details

Issue
Vol 21, No 1 (2022)
Section
Articles