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International Journal of Stochastic Analysis
Volume 2014 (2014), Article ID 409345, 10 pages
Research Article

Limit Properties of Transition Functions of Continuous-Time Markov Branching Processes

State Testing Center under Cabinet of Ministers of Republic of Uzbekistan, Karshi State University, 17 Kuchabag, 180100 Karshi, Uzbekistan

Received 4 July 2014; Revised 7 September 2014; Accepted 21 September 2014; Published 19 October 2014

Academic Editor: Ravi P. Agarwal

Copyright © 2014 Azam A. Imomov. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


Consider the Markov Branching Process with continuous time. Our focus is on the limit properties of transition functions of this process. Using differential analogue of the Basic Lemma we prove local limit theorems for all cases and observe invariant properties of considering process.