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Generalized Associated Legendre Functions and Their Applications [Hardcover]

By Nina Virchenko (Author) & Iryna Fedotova (Author)
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Item description for Generalized Associated Legendre Functions and Their Applications by Nina Virchenko & Iryna Fedotova...

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.

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Item Specifications...

Studio: World Scientific Publishing Company
Pages   220
Est. Packaging Dimensions:   Length: 8.66" Width: 6.06" Height: 0.71"
Weight:   0.97 lbs.
Binding  Hardcover
Publisher   World Scientific Publishing Company
ISBN  9810243537  
ISBN13  9789810243531  

Availability  0 units.

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1Books > Subjects > Professional & Technical > Professional Science > Mathematics > Applied > General
2Books > Subjects > Professional & Technical > Professional Science > Mathematics > Pure Mathematics > Functional Analysis
3Books > Subjects > Science > General
4Books > Subjects > Science > Mathematics > Applied > General
5Books > Subjects > Science > Mathematics > Applied
6Books > Subjects > Science > Mathematics > General
7Books > Subjects > Science > Mathematics > Mathematical Analysis
8Books > Subjects > Science > Mathematics > Pure Mathematics > Functional Analysis

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