Thank you for reply.
I would be interested in looking into new functions such as those related to the Lerch transcendental (Zeta, Hurwitz Zeta, Polygamma for wider argument range, etc.).
I find it interesting too. Maybe really it is better to start from something small to study concepts and sides of writing special functions.
* Has your project of concept been approved? No, currently I haven't fully formalized project subject yet. But in short time I should do that and make up small description. It should include next topics: formulation of the problem, practical value, assessment of labor. In general I would call the subject as "Development of [math functions or extension] for Boost.Math, research on problems of numerical implementation" or something like this. * Do you need such approval? Yes, of course. I think I won't meet serious troubles in my university with it. Anyway this contribution is interesting to me. It is better to say that I want to relate contribution with my university work. * Do you have a magister (thesis) adviser? Yes, I have scientific adviser, supervisor. He is not programmer. His real responsibility is to link my project with department and its professors. * What degree are you pursuing with this thesis? In Russia this degree is called "magister". I think in USA it is called "master of science". * When would you like to begin, if this is feasible? Starting from the next weekend