Oleg Igorevich Marichev

Oleg Igorewitsch Maritschew ( Russian Олег Игоревич Маричев ; born September 7, 1945 in Velikije Luki , Russia ) is a Russian mathematician .

education

In 1949 he moved to Minsk . It was here that his interest in mathematics was aroused when his teacher introduced the method of complete induction in the 8th grade . Soon he was an avid participant in local math Olympiads. He attended the Belarusian State University in Minsk, where he won numerous competitions and the prestigious academic gold medal.

After completing his studies in 1968, he worked for Fedor Gakhov , who was known for his solution of the Riemman boundary value problem for analytic functions in closed form, on partial differential equations. His mathematical working method is characterized by originality, rigor and completeness. During this research he developed a lifelong interest in special functions , in particular hypergeometric functions , Bessel functions , Legendre polynomials , Appell functions and the Meijer G function .

In 1973 he received his doctorate in Minsk under Fedor Gakhov with the thesis Tricomi's Boundary Value Problem for Some Mixed Type Equations and Integral Equations with Special Functions in the Kernels . In 1978 he published his Handbook of integral transforms of higher transcendental functions: theory and algorithmic tables , which was translated into English by LW Longdon in 1983.

Research on integrals

After that, he embarked on an even bigger project: a more comprehensive integral board than the Gradshteyn-Ryzhik . To do this, he calculated thousands of complex integrals by hand. The result was published as a five-volume work from 1981 to 1986.

Through this research he hoped to automate the calculation of the integrals by an algorithm . In 1980 there was a chance together with Ernst Krupnikov to implement an integration algorithm with Meijer G functions on a MIR mainframe computer in Novosibirsk . Several years later, together with his former student Victor Adamchik, he developed a prototype of an integration system using the computer algebra system Reduce . In 1990 Marichev and Adamchik were invited to the USA to demonstrate their integration system to Wolfram Research . Both stayed with Wolfram Research to significantly expand Mathematica's integration command .

At that time, Maritschew completed his habilitation at the Friedrich Schiller University in Jena with the thesis Functions of Hypergeometric Type and Some Applications to Integral and Differential Equations .

From 1992-97 he worked actively at Wolfram Research on symbolic integration and numerical evaluation of the Meijer G-function, the most complicated special function implemented in Mathematica.

Works

• OI Marichev. Handbook of integral transforms of higher transcendental functions: theory and algorithmic tables . Translated from the Russian by LW Longdon. Ellis Horwood Series in Mathematics and its Applications. Chichester: Ellis Horwood, 1983, 336 p. (Russian original edition: Minsk, 1978)
• AP Prudnikov , Yuri A. Brychkov , OI Marichev: Integrals and series . 5 volumes, Russian original edition Moscow, 1981–1986

Web links

• Oleg Marichev. Two Hundred Thousand New Formulas on the Web (with photo of Marichev and his works)
• Oleg Marichev, member of Wolfram Research's development staff
• Oleg Igorevich Marichev (On the Occasion of His 70th Birthday)