Yu. A. Brychkov has worked on various topics of
pure mathematics, and he has made contributions to the fields of
special functions and
integral transforms. He has also worked on the computer implementation of special functions at the
University of Waterloo,[1]Maplesoft, and
Wolfram Research.[2] He is a founding editor of the Journal of Integral Transforms and Special Functions,[3] and has authored a number of handbooks, including the five volume Integrals and Series (Gordon and Breach Science Publishers, 1986–1992).[4]
Prudnikov, A. P.; Brychkov, Yu. A.; Marichev, O. I. Integraly i ryady Интегралы и ряды [Integrals and series] (in Russian). Vol. Set 1-3 (1 ed.).
Nauka (Наука). Moscow. 1981−1986.
Prudnikov, A. P.; Brychkov, Yu. A.; Marichev, O. I. (1992). Integrals and Series. Vol. 4: Direct Laplace Transforms.
Gordon & Breach Science Publishers /
CRC Press. New York-London.
OCLC63722509. (Second printing: 1998.) (xviii+618 pages.)
Prudnikov, A. P.; Brychkov, Yu. A.; Marichev, O. I. (2003). Integraly i ryady Интегралы и ряды [Integrals and series] (in Russian). Vol. Set 1-3 (2nd revised ed.). Fizmatlit (Физматлит).
ISBN978-5-9221-0322-0.
Prudnikov, A. P.; Brychkov, Yu. A.; Marichev, O. I. (2003). Integraly i ryady Интегралы и ряды [Integrals and series: Elementary functions] (in Russian). Vol. 1: Elementarnye funktsii (Элементарные функции) (2nd revised ed.). Fizmatlit (Физматлит). Moscow.
ISBN978-5-9221-0323-7.
OCLC937142305. (630 pages)
Prudnikov, A. P.; Brychkov, Yu. A.; Marichev, O. I. (2003). Integraly i ryady Интегралы и ряды [Integrals and series: Special functions] (in Russian). Vol. 2: Spetsialnye funktsii (Специальные функции) (2nd revised ed.). Fizmatlit (Физматлит). Moscow.
ISBN978-5-9221-0324-4. (663 pages)
Prudnikov, A. P.; Brychkov, Yu. A.; Marichev, O. I. (2003). Integraly i ryady Интегралы и ряды [Integrals and series: Special functions. Further chapters.] (in Russian). Vol. 3: Spetsialnye funktsii. Dopolnitelnye glavy (2nd revised ed.). Fizmatlit (Физматлит). Moscow.
ISBN978-5-9221-0325-1. (710 pages)
Brychkov, Yu. A. (2008). Handbook of special functions. Derivatives, integrals, series and other formulas.
CRC Press. Boca Raton.
ISBN978-1-58488-956-4. (xx+680 pages)
Brychkov, Yu. A.; Marichev, O. I.; Savischenko., N. V. (2018). Handbook of Mellin Transforms.
CRC Press. Boca Raton.
ISBN978-1-13835-335-0. (xx+587 pages)
^"Integral Transforms and Special Functions: Editorial Board". Integral Transforms and Special Functions. 26 (12): ebi. 2015.
doi:
10.1080/10652469.2015.1088624.
^Integrals and series / A.P. Prudnikov, Yu. A. Brychkov, O.I. Marichev; translated from the Russian by N.M. Queen. New York Gordon & Breach. 1986.
ISBN9782881240973.