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 May 24th, 2019, 06:49 AM #1 Newbie   Joined: May 2019 From: Poland Posts: 5 Thanks: 0 Functions in function - synthesis of a general form Hi All, I've one question related to a function, which can be defined by using other functions. Let we say, that such situation can be defined as follows: $\displaystyle f_{0}(q)= \frac{a_{0}+c \cdot f_{1}(q)}{c \cdot a_{0}+ f_{1}(q)}$ $\displaystyle f_{1}(q)= \frac{a_{1}+c \cdot f_{2}(q)}{c \cdot a_{1}+ f_{2}(q)}$ $\displaystyle f_{2}(q)= \frac{a_{2}+c \cdot f_{3}(q)}{c \cdot a_{2}+ f_{3}(q)}$ ... and so on. As you can see, function f0(q) is constructed on fn(x) 's where n-index is defining number of functions placed inside. Now: I want to synthesize general form of equation which will define such function f0(q) in relation to the number of functions fn(q) number. Firstly, I thought that recursion will be good to solve this problem, however function f0(q) it doesn't "call itself". I believe, that there are some methods which can be used to bring solution in this case. Can you suggest some of them ? Best Regards, E. Tags form, function, functions, general, recursion, synthesis Thread Tools Show Printable Version Email this Page Display Modes Linear Mode Switch to Hybrid Mode Switch to Threaded Mode Similar Threads Thread Thread Starter Forum Replies Last Post CSteiner Differential Equations 4 December 19th, 2014 12:59 PM you_of_eh Algebra 1 October 12th, 2009 06:13 PM JudaStar Linear Algebra 1 March 2nd, 2009 06:45 AM JudaStar Algebra 1 February 28th, 2009 03:01 PM Soha Algebra 3 December 21st, 2006 03:26 PM

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