01.01.02 (Differential equations, dynamical systems, and optimal control)
Birth date:
7.09.1945
Keywords:
partial differential equations,
discontinuous coefficients,
boundary value problems,
degenerate equations,
mixed type equations,
Riemann’s method,
singular integral equations,
special functions,
integral transforms.
Oleg Marichev holds two doctorates in mathematics.
His first dissertation, completed at the Byelorussian State University, Minsk, was titled "Tricomi's Boundary Value Problem for Some Mixed Type Equations and Integral Equations with Special Functions in the Kernels." His second dissertation, for an advanced doctorate from Friedrich-Schiller-Universität, Jena, Germany, was titled "Functions of Hypergeometric Type and Some Applications to Integral and Differential Equations."
Marichev is the author or coauthor of 70 papers and nineteen books since 1969, including his Handbook of Integral Transforms of Higher Transcendental Functions.
He wrote the five-volume series Integrals and Series with A. P. Prudnikov and Yu. A. Brychkov.
He is also a coauthor with S. G. Samko and A. A. Kilbas of Integrals and Derivatives of Fractional Order and Some of Their Applications, the first complete monograph on the topic.
Marichev joined Wolfram Research in 1991 and has developed many of Mathematica's algorithms for the calculation of definite and indefinite integrals and hypergeometric functions including Meijer G.
Currently, Marichev is an Editorial Advisory Board member of the Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences.
Main publications:
Marichev, O. I., Metod vychisleniya integralov ot spetsial'nykh funktsij (Teoriya i tablitsy formul) [A method of calculating integrals of special functions.
(Theory and tables of formulas)], Nauka i Tekhnika, Minsk, 1978, 310 pp. (Russian)
Prudnikov, A. P.; Brychkov, Yu. A.; Marichev, O. I., Integraly i ryady. Ehlementarnye funktsii [Integrals and series. Elementary functions], Nauka, Moscow, 1981, 800 pp. (Russian)
Prudnikov, A. P.; Brychkov, Yu. A.; Marichev, O. I., Integraly i ryady. Spetsial'nye funktsii [Integrals and series. Special functions], Nauka, Moscow, 1983, 752 pp. (Russian)
Marichev, O. I., Handbook of integral transforms of higher transcendental functions: theory and algorithmic tables, Ellis Horwood Ltd., Chichester, New York, 1983, 336 pp. (English)
Prudnikov, A. P.; Brychkov, Yu. A.; Marichev, O. I., Integraly i ryady. Dopolnitel'nye glavy [Integrals and series. Complementary chapters], Nauka, Moscow, 1986, 800 pp. (Russian)
Brychkov, Yu. A.; Marichev, O. I.; Prudnikov, A. P., Tablitsy neopredelennykh integralov. Spravochnik [Tables of indefinite integrals. Handbook], Nauka, Moscow, 1986, 192 pp. (Russian)
Samko, S. G.; Kilbas, A. A.; Marichev, O. I., Integraly i proizvodnye drobnogo poryadka i nekotorye ikh prilozheniya [Integrals and Derivatives of Fractional Order and Some of Their Applications], Nauka i Tekhnika, Minsk, 1987, 688 pp. (Russian)
Prudnikov, A. P.; Brychkov, Yu. A.; Marichev, O. I., Integrals and series., v. 4, Direct Laplace transforms, Gordon and Breach Science Publ., New York, NY, 1992, xx+619 pp. (English)
Prudnikov, A. P.; Brychkov, Yu. A.; Marichev, O. I., Integrals and series, v. 5, Inverse Laplace transforms, Gordon and Breach Science Publ., Philadelphia, PA, 1992, xx+595 pp. (English)
Samko, S. G.; Kilbas, A. A.; Marichev, O. I., Fractional integrals and derivatives. Theory and Applications, Gordon and Breach Science Publ., New York, NY, 1993, xxxvi+976 pp. (English)
Marichev, O. I.; Kilbas, A. A.; Repin, O. A., Kraevye zadachi dlya uravnenii v chastnykh proizvodnykh s razryvnymi koeffitsientami [Boundary value problems
for partial differential equations with discontinuous coefficients], Samara State Economic Univ., Samara, 2008, 275 pp. (Russian)
O. I. Marichev, S. Yu. Slavyanov, Yu. A. Brychkov, “Bell polynomials in the Mathematica system and asymptotic solutions
of integral equations”, TMF, 201:3 (2019), 446–456; Theoret. and Math. Phys., 201:3 (2019), 1798–1807
1989
2.
A. P. Prudnikov, Yu. A. Brychkov, O. I. Marichev, “Calculation of integrals and the Mellin transform”, Itogi Nauki i Tekhn. Ser. Mat. Anal., 27 (1989), 3–146; J. Soviet Math., 54:6 (1991), 1239–1341
1986
3.
Vu Kim Tuan, O. I. Marichev, S. B. Yakubovich, “Compositional structure of integral transformations”, Dokl. Akad. Nauk SSSR, 286:4 (1986), 786–790
1984
4.
V. S. Adamchik, O. I. Marichev, “Fundamental system of solutions for the operator $L_n=(z\frac{d}{dz})^n+z$”, Differ. Uravn., 20:6 (1984), 1082–1083
1983
5.
O. I. Marichev, Vu Kim Tuan, “Determination of a general $G$-function of two variables, its special cases, and differential equations”, Differ. Uravn., 19:10 (1983), 1797–1799
6.
Yu. A. Brychkov, H.-J. Glaeske, O. I. Marichev, “Factorization of integral transformations of convolution type”, Itogi Nauki i Tekhn. Ser. Mat. Anal., 21 (1983), 3–41; J. Soviet Math., 30:3 (1985), 2071–2094
1978
7.
O. I. Marichev, “An integral representation of the solutions of a generalized biaxially symmetric Helmholtz equation and formulas for its inversion”, Differ. Uravn., 14:10 (1978), 1824–1831
1976
8.
O. I. Marichev, “Singular boundary value problems for the generalized biaxially symmetric Helmholtz equation”, Dokl. Akad. Nauk SSSR, 230:3 (1976), 523–526
1972
9.
O. I. Marichev, “Two Volterra equations with Horn functions”, Dokl. Akad. Nauk SSSR, 204:3 (1972), 546–549
Organisations
Wolfram Research Inc., Laramie, Wyoming, United States of America
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