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Ebook: Generalized Associated Legendre Functions and Their Applications -- download full version of the book
*** GENERALIZED ASSOCIATED LEGENDRE FUNCTIONS AND THEIR APPLICATIONS *** by Iryna Fedotova, Nina Virchenko  Click Here to Download this Ebook Type: eBook Released: 0000-00-00 Publisher: World Scientific Publishing Company Page Count: 217 Format: djvu Language: English Description: The various types of special functions have become essential tools for scientists and engineers. One of the important classes of special functions is of the hypergeometric type. It includes all classical hypergeometric functions such as the well-known Gaussian hypergeometric functions, the Bessel, Macdonald, Legendre, Whittaker, Kummer, Tricomi and Wright functions, the generalized hypergeometric functions "YFq", Meijer's "G"-function, Fox's "H"-function, etc. Application of the new special functions allows one to increase considerably the number of problems whose solutions are found in a closed form, to examine these solutions, and to investigate the relationships between different classes of the special functions. This book deals with the theory and applications of generalized Legendre functions of the first and the second kind, "Pm,nN(Z)" and "Qm,nN(Z)", which are important representatives of the hypergeometric functions. They occur as generalizations of classical Legendre functions of the first and the second kind respectively. The authors use various methods of contour integration to obtain important properties of the generalized associated Legendre functions as their series representations, asymptotic formulas in a neighbourhood of singular points, zero properties, connection with Jacobi functions, Bessel functions, elliptic integrals and incomplete beta functions. The book also presents the theory of factorization and composition structure of integral operators associated with the generalized associated Legendre function, the fractional integro-differential properties of the functions "Pm,nN(Z)" and "Qm,nN(Z)", the classes of dual and triple integral equations associated with the function "Pm,n-1/2+/omega(chdelta)" etc. MORE EBOOKS: Ebook: Leading Organizational Learning -- download full version of the book, by Howard Morgan, Leader To Leader Institute, Marc J. Rosenberg, Marcia Conner, Marshall Goldsmith, Sandy Ogg Ebook: The classification of lower organisms -- download full version of the book, by Herbert F. Copeland Ebook: Handbook of Chemical and Environmental Engineering Calculations -- download full version of the book, by John S. Jeris, Joseph P. Reynolds, Louis Theodore Ebook: Essential Hinduism -- download full version of the book, by Steven J. Rosen MORE 110000 online books: eBooks, Audio Books - books on English, French, German, Italian, Spanish, ...other languages == eBooks ==
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