Tham khảo tài liệu 'handbook of mathematics for engineers and scienteists part 70', khoa học tự nhiên, toán học phục vụ nhu cầu học tập, nghiên cứu và làm việc hiệu quả | References for Chapter 11 451 TABLE Areas of application of integral transforms first in the last column come references to appropriate sections of the current book Area of application Integral transforms References Evaluation of improper integrals Laplace Mellin Paragraph Ditkin Prudnikov 1965 Summation of series Laplace direct and inverse Paragraphs and Computation of coefficients of asymptotic expansions Laplace Mellin Paragraph Linear constant- and variable-coefficient ordinary differential equations Laplace Mellin Euler and others Paragraphs and Ditkin Prudnikov 1965 Doetsch 1974 E. Kamke 1977 Sveshnikov Tikhonov 1970 LePage 1980 Systems of linear constant-coefficient ordinary differential equations Laplace Paragraph Doetsch 1974 Ditkin Prudnikov 1965 Linear equations of mathematical physics Laplace Fourier Fourier sine Hankel Kontorovich-Lebedev and others Section Doetsch 1974 Ditkin Prudnikov 1965 Antimirov 1993 Sneddon 1995 Zwillinger 1997 Bracewell 1999 Polyanin 2002 Duffy 2004 Linear integral equations Laplace Mellin Fourier Meler-Fock Euler and others Subsections Krasnov Kiselev Makarenko 1971 Ditkin Prudnikov 1965 Samko Kilbas Marichev 1993 Polyanin Manzhirov 1998 Nonlinear integral equations Laplace Mellin Fourier Paragraphs and Krasnov Kiselev Makarenko 1971 Polyanin Manzhirov 1998 Linear difference equations Laplace Ditkin Prudnikov 1965 Linear differential-difference equations Laplace Bellman Roth 1984 Linear integro-differential equations Laplace Fourier Paragraph LePage 1980 References for Chapter 11 Antimirov M. Ya. Applied Integral Transforms American Mathematical Society Providence Rhode Island 1993. Bateman H. and Erdelyi A. Tables of Integral Transforms. Vols. 1 and 2 McGraw-Hill New York 1954. Beerends R. J. ter Morschem H. G. and van den Berg J. C. Fourier and Laplace Transforms Cambridge University Press Cambridge .
