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1 Akhmedova, Valeriya Selected Special Functions for Fundamental Physics I09479 2019 eBook  
2 Pastras, Georgios The Weierstrass Elliptic Function and Applications in Classical and Quantum Mechanics I09024 2020 eBook  
3 Mathai, A.M The H-Function I05634 2010 eBook  
4 Araki, Huzihiro Quantum and Non-Commutative Analysis I04479 1993 eBook  
5 Terziogammalu, T Advances in the Theory of Fr??chet Spaces I03867 1989 eBook  
6 Avery, John S Hyperspherical Harmonics I03066 1989 eBook  
7 Nevai, Paul Orthogonal Polynomials I02652 1990 eBook  
8 Katavolos, A Operator Algebras and Applications I01249 1997 eBook  
9 Murray R. Spiegel Schaum's outlines fourier analysis: With Application to Boundary Value Problems 025963 1974 Book  
10 James D. Talman Special functions: A group theoretic approach 022450 1968 Book  
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TitleSelected Special Functions for Fundamental Physics
Author(s)Akhmedova, Valeriya;Akhmedov, Emil T
PublicationCham, 1. Imprint: Springer 2. Springer International Publishing, 2019.
DescriptionXI, 116 p. 20 illus : online resource
Abstract NoteThis book presents calculation methods that are used in both mathematical and theoretical physics. These methods will allow readers to work with selected special functions and more generally with differential equations, which are the most frequently used in quantum mechanics, theory of relativity and quantum field theory. The authors explain various approximation methods used to solve differential equations and to estimate integrals. They also address the basics of the relations between differential equations, special functions and representation theory of some of the simplest algebras on the one hand, and fundamental physics on the other. Based on a seminar for graduate physics students, the book offers a compact and quick way to learn about special functions. To gain the most from it, readers should be familiar with the basics of calculus, linear algebra, and complex analysis, as well as the basic methods used to solve differential equations and calculate integrals.
ISBN,Price9783030350895
Keyword(s)1. EBOOK 2. EBOOK - SPRINGER 3. Mathematical Applications in the Physical Sciences 4. Mathematical Methods in Physics 5. MATHEMATICAL PHYSICS 6. PHYSICS 7. SPECIAL FUNCTIONS
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TitleThe Weierstrass Elliptic Function and Applications in Classical and Quantum Mechanics : A Primer for Advanced Undergraduates
Author(s)Pastras, Georgios
PublicationCham, 1. Imprint: Springer 2. Springer International Publishing, 2020.
DescriptionXIII, 111 p. 14 illus., 13 illus. in color : online resource
Abstract NoteThe field of elliptic functions, apart from its own mathematical beauty, has many applications in physics in a variety of topics, such as string theory or integrable systems. This book, which focuses on the Weierstrass theory of elliptic functions, aims at senior undergraduate and junior graduate students in physics or applied mathematics. Supplemented by problems and solutions, it provides a fast, but thorough introduction to the mathematical theory and presents some important applications in classical and quantum mechanics. Elementary applications, such as the simple pendulum, help the readers develop physical intuition on the behavior of the Weierstrass elliptic and related functions, whereas more Interesting and advanced examples, like the n=1 Lam?? problem-a periodic potential with an exactly solvable band structure, are also presented
ISBN,Price9783030593858
Keyword(s)1. Applications of Mathematics 2. APPLIED MATHEMATICS 3. CLASSICAL MECHANICS 4. EBOOK 5. EBOOK - SPRINGER 6. ENGINEERING MATHEMATICS 7. MATHEMATICAL PHYSICS 8. MECHANICS 9. NUCLEAR PHYSICS 10. Particle and Nuclear Physics 11. SPECIAL FUNCTIONS 12. Theoretical, Mathematical and Computational Physics
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TitleThe H-Function : Theory and Applications
Author(s)Mathai, A.M;Saxena, Ram Kishore;Haubold, Hans J
PublicationNew York, NY, 1. Imprint: Springer 2. Springer New York, 2010.
DescriptionXIV, 268 p : online resource
Abstract NoteThe topics of special H-function and fractional calculus are currently undergoing rapid changes both in theory and application. Taking into account the latest research results, the authors delve into these topics as they relate to applications to problems in statistics, physics, and engineering, particularly in condensed matter physics, plasma physics, and astrophysics. The book sets forth the definitions, contours, existence conditions, and particular cases for the H-function, then explores the properties and relationships among the Laplace, Fourier, Hankel, and other transforms. From here, the H-functions are utilized for applications in statistical distribution theory, structures of random variables, generalized distributions, Mathai???s pathway models, and versatile integrals. Functions of matrix argument are introduced with a focus on real-valued scalar functions when the matrices are real or Hermitian positive-definite. The text concludes with important recent applications to physical problems in reaction, diffusion, reaction-diffusion theory and statistics, and superstatistics. Generalized entropies as well as applications in astrophysics are dealt with. Over the last few years, material in this book has been added to various courses and developed to meet the needs of scholars at the PhD level. All exercises in the book have been used to probe the knowledge and ability of mathematics, statistics, and physics to students and researchers.
ISBN,Price9781441909169
Keyword(s)1. APPLIED MATHEMATICS 2. EBOOK 3. EBOOK - SPRINGER 4. ENGINEERING MATHEMATICS 5. FUNCTIONAL ANALYSIS 6. Mathematical and Computational Engineering 7. Mathematical Methods in Physics 8. MATHEMATICAL PHYSICS 9. PHYSICS 10. SPECIAL FUNCTIONS 11. Statistical Theory and Methods 12. Statistics?? 13. Theoretical, Mathematical and Computational Physics
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TitleQuantum and Non-Commutative Analysis : Past, Present and Future Perspectives
Author(s)Araki, Huzihiro;Ito, Keiichi R;Kishimoto, Akitaka;Ojima, Izumi
PublicationDordrecht, 1. Imprint: Springer 2. Springer Netherlands, 1993.
DescriptionXII, 464 p : online resource
Abstract NoteIn the past decade, there has been a sudden and vigorous development in a number of research areas in mathematics and mathematical physics, such as theory of operator algebras, knot theory, theory of manifolds, infinite dimensional Lie algebras and quantum groups (as a new topics), etc. on the side of mathematics, quantum field theory and statistical mechanics on the side of mathematical physics. The new development is characterized by very strong relations and interactions between different research areas which were hitherto considered as remotely related. Focussing on these new developments in mathematical physics and theory of operator algebras, the International Oji Seminar on Quantum Analysis was held at the Kansai Seminar House, Kyoto, JAPAN during June 25-29, 1992 by a generous sponsorship of the Japan Society for the Promotion of Science and the Fujihara Foundation of Science, as a workshop of relatively small number of (about 50) invited participants. This was followed by an open Symposium at RIMS, described below by its organizer, A. Kishimoto. The Oji Seminar began with two key-note addresses, one by V.F.R. Jones on Spin Models in Knot Theory and von Neumann Algebras and by A. Jaffe on Where Quantum Field Theory Has Led. Subsequently topics such as Subfactors and Sector Theory, Solvable Models of Statistical Mechanics, Quantum Field Theory, Quantum Groups, and Renormalization Group Ap?? proach, are discussed. Towards the end, a panel discussion on Where Should Quantum Analysis Go? was held
ISBN,Price9789401728232
Keyword(s)1. Associative rings 2. Associative Rings and Algebras 3. EBOOK 4. EBOOK - SPRINGER 5. Elementary particles (Physics) 6. Elementary Particles, Quantum Field Theory 7. GROUP THEORY 8. Group Theory and Generalizations 9. QUANTUM FIELD THEORY 10. Rings (Algebra) 11. SPECIAL FUNCTIONS
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TitleAdvances in the Theory of Fr??chet Spaces
Author(s)Terziogammalu, T
PublicationDordrecht, 1. Imprint: Springer 2. Springer Netherlands, 1989.
DescriptionXVIII, 364 p : online resource
Abstract NoteFrechet spaces have been studied since the days of Banach. These spaces, their inductive limits and their duals played a prominent role in the development of the theory of locally convex spaces. Also they are natural tools in many areas of real and complex analysis. The pioneering work of Grothendieck in the fifties has been one of the important sources of inspiration for research in the theory of Frechet spaces. A structure theory of nuclear Frechet spaces emerged and some important questions posed by Grothendieck were settled in the seventies. In particular, subspaces and quotient spaces of stable nuclear power series spaces were completely characterized. In the last years it has become increasingly clear that the methods used in the structure theory of nuclear Frechet spaces actually provide new insight to linear problems in diverse branches of analysis and lead to solutions of some classical problems. The unifying theme at our Workshop was the recent developments in the theory of the projective limit functor. This is appropriate because of the important role this theory had in the recent research. The main results of the structure theory of nuclear Frechet spaces can be formulated and proved within the framework of this theory. A major area of application of the theory of the projective limit functor is to decide when a linear operator is surjective and, if it is, to determine whether it has a continuous right inverse
ISBN,Price9789400924567
Keyword(s)1. EBOOK 2. EBOOK - SPRINGER 3. FUNCTIONS OF COMPLEX VARIABLES 4. OPERATOR THEORY 5. PARTIAL DIFFERENTIAL EQUATIONS 6. Several Complex Variables and Analytic Spaces 7. SPECIAL FUNCTIONS
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TitleHyperspherical Harmonics : Applications in Quantum Theory
Author(s)Avery, John S
PublicationDordrecht, 1. Imprint: Springer 2. Springer Netherlands, 1989.
DescriptionXVI, 256 p : online resource
Abstract Notewhere d 3 3)2 ( L x - -- i3x j3x j i i>j Thus the Gegenbauer polynomials play a role in the theory of hyper spherical harmonics which is analogous to the role played by Legendre polynomials in the familiar theory of 3-dimensional spherical harmonics; and when d = 3, the Gegenbauer polynomials reduce to Legendre polynomials. The familiar sum rule, in 'lrlhich a sum of spherical harmonics is expressed as a Legendre polynomial, also has a d-dimensional generalization, in which a sum of hyper spherical harmonics is expressed as a Gegenbauer polynomial (equation (3-27??: The hyper spherical harmonics which appear in this sum rule are eigenfunctions of the generalized angular monentum 2 operator A , chosen in such a way as to fulfil the orthonormality relation: VIe are all familiar with the fact that a plane wave can be expanded in terms of spherical Bessel functions and either Legendre polynomials or spherical harmonics in a 3-dimensional space. Similarly, one finds that a d-dimensional plane wave can be expanded in terms of HYPERSPHERICAL HARMONICS xii "hyperspherical Bessel functions" and either Gegenbauer polynomials or else hyperspherical harmonics (equations ( 4 - 27) and ( 4 - 30) ) : 00 ik??x e = (d-4)!!A~oiA(d+2A-2)j~(kr)C~(~k'~) 00 (d-2)!!I(0) 2: iAj~(kr) 2:Y~ (["2k)Y (["2) A A=O ). l). l)J where I(O) is the total solid angle. This expansion of a d-dimensional plane wave is useful when we wish to calculate Fourier transforms in a d-dimensional space
ISBN,Price9789400923232
Keyword(s)1. Atomic, Molecular, Optical and Plasma Physics 2. ATOMS 3. EBOOK 4. EBOOK - SPRINGER 5. PHYSICAL CHEMISTRY 6. PHYSICS 7. QUANTUM PHYSICS 8. SPECIAL FUNCTIONS
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TitleOrthogonal Polynomials : Theory and Practice
Author(s)Nevai, Paul
PublicationDordrecht, 1. Imprint: Springer 2. Springer Netherlands, 1990.
Description488 p : online resource
Abstract NoteThis volume contains the Proceedings of the NATO Advanced Study Institute on "Orthogonal Polynomials and Their Applications" held at The Ohio State University in Columbus, Ohio, U.S.A. between May 22,1989 and June 3,1989. The Advanced Study Institute primarily concentrated on those aspects of the theory and practice of orthogonal polynomials which surfaced in the past decade when the theory of orthogonal polynomials started to experience an unparalleled growth. This progress started with Richard Askey's Regional Confer?? ence Lectures on "Orthogonal Polynomials and Special Functions" in 1975, and subsequent discoveries led to a substantial revaluation of one's perceptions as to the nature of orthogonal polynomials and their applicability. The recent popularity of orthogonal polynomials is only partially due to Louis de Branges's solution of the Bieberbach conjecture which uses an inequality of Askey and Gasper on Jacobi polynomials. The main reason lies in their wide applicability in areas such as Pade approximations, continued fractions, Tauberian theorems, numerical analysis, probability theory, mathematical statistics, scattering theory, nuclear physics, solid state physics, digital signal processing, electrical engineering, theoretical chemistry and so forth. This was emphasized and convincingly demonstrated during the presentations by both the principal speakers and the invited special lecturers. The main subjects of our Advanced Study Institute included complex orthogonal polynomials, signal processing, the recursion method, combinatorial interpretations of orthogonal polynomials, computational problems, potential theory, Pade approximations, Julia sets, special functions, quantum groups, weighted approximations, orthogonal polynomials associated with root systems, matrix orthogonal polynomials, operator theory and group representations
ISBN,Price9789400905016
Keyword(s)1. Computational Mathematics and Numerical Analysis 2. Computer mathematics 3. EBOOK 4. EBOOK - SPRINGER 5. FOURIER ANALYSIS 6. SPECIAL FUNCTIONS
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TitleOperator Algebras and Applications
Author(s)Katavolos, A
PublicationDordrecht, 1. Imprint: Springer 2. Springer Netherlands, 1997.
DescriptionXI, 467 p : online resource
Abstract NoteDuring the last few years, the theory of operator algebras, particularly non-self-adjoint operator algebras, has evolved dramatically, experiencing both international growth and interfacing with other important areas. The present volume presents a survey of some of the latest developments in the field in a form that is detailed enough to be accessible to advanced graduate students as well as researchers in the field. Among the topics treated are: operator spaces, Hilbert modules, limit algebras, reflexive algebras and subspaces, relations to basis theory, C* algebraic quantum groups, endomorphisms of operator algebras, conditional expectations and projection maps, and applications, particularly to wavelet theory. The volume also features an historical paper offering a new approach to the Pythagoreans' discovery of irrational numbers
ISBN,Price9789401155007
Keyword(s)1. EBOOK 2. EBOOK - SPRINGER 3. FOURIER ANALYSIS 4. FUNCTIONAL ANALYSIS 5. OPERATOR THEORY 6. SPECIAL FUNCTIONS
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TitleSchaum's outlines fourier analysis: With Application to Boundary Value Problems
Author(s)Murray R. Spiegel
PublicationNew Delhi, McGraw Hill Education (India) Pvt. Ltd., 1974.
Description191p.
ISBN,Price9780070588837 : Rs. 480.00(PB)
Classification517.518.45
Keyword(s)1. BESSEL FUNCTIONS 2. BOUNDARY VALUE PROBLEMS 3. FOURIER ANALYSIS 4. FOURIER INTEGRAL 5. LEGENDRE FUCTIONS 6. ORTHOGONAL FUNCTIONS 7. ORTHOGONAL POLYNOMIALS 8. SPECIAL FUNCTIONS
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TitleSpecial functions: A group theoretic approach : Based on lectures by Eugen P. Wigner
Author(s)James D. Talman
PublicationNew York, W.A. Benjamin, Inc., 1968.
Description260p.
ISBN,Price25(Spiral)
Classification517.5
Keyword(s)SPECIAL FUNCTIONS
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022450   517.5/TAL/022450  On Shelf    

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